id stringlengths 36 36 | image stringlengths 224 11M | conversations listlengths 2 2 |
|---|---|---|
fab1c569-6e43-48b8-963d-fc68d88b7923 | iVBORw0KGgoAAAANSUhEUgAAAXwAAADjCAYAAACGoK/oAAAZGElEQVR4nO3db2gb6Z0H8O92F+rlrp54j6WXK5rYSdoXQbouW/JmR2fHd5BgmWTTVycZp/a+WTvrDZejuALFUAe8Bq3p4TbnRM6bxBdj6dWR3cUyCRybuNZSCJf+mSEvtknsjGhD2TbO5ApxwTT3Qp6JZEuWbGk0M3q+Hwhkx4r1eKXn65+e+c0zr7x48eIFiIio4X3N6QEQEVF9MPCJiATBwCciEgQDn4hIEAx8IiJBMPCJiATBwCciEgQDn4hIEAx8IiJBMPCJiATB... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Quadrilateral A B C D is a rectangle. m \\angle 2 = 40. Find m \\angle 1.\nChoices:\n(A) 40\n(B) 50\n(C) 90\n(D) 130"
},
{
"from": "assistant",
"... |
b64aafe6-8b82-4e71-9c0d-f9b0c02f9dbc | iVBORw0KGgoAAAANSUhEUgAAAhkAAAEMCAYAAABp6aQ+AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, m \\angle 3 = 43. Find the measure of \\angle 7.\nChoices:\n(A) 43\n(B) 53\n(C) 127\n(D) 137"
},
{
"from": "assistant",
"value": "... |
8c5aa8b2-5f9a-4f61-a898-d027a8a1fe3c | iVBORw0KGgoAAAANSUhEUgAAAg8AAADxCAYAAABMIlTiAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x so that m \\parallel n.\nChoices:\n(A) 7\n(B) 11\n(C) 15\n(D) 19"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figu... |
7840e5f5-022a-46be-b0fd-9b688032dd54 | iVBORw0KGgoAAAANSUhEUgAAAVkAAADMCAYAAADZLtCfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRuaOlBwL0kg5LUihIQ7Zxf... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x.\nChoices:\n(A) \\frac { 5 } { 2 } \\sqrt { 2 }\n(B) 5\n(C) \\frac { 5 } { 2 } \\sqrt { 6 }\n(D) 10"
},
{
"from": "assistant",
"value": "<... |
8656a4ff-1fd0-47ed-9b36-b8131cc0de6f | iVBORw0KGgoAAAANSUhEUgAAAZsAAAEACAYAAABlOdt4AAA7NklEQVR4nO3deVhUdfvH8TcBCYgoICBCCAoo4ooh4q5hPtpiWrm2WGmlPfXTSlvMrMyeykzbXErL3HLJLbc0c1cCFFREElAWQVQEZJFBYZjfHywisgw4wzAz9+u6uq4RzhlujZnPnO9yHxOVSqVCCCGE0KL7dF2AEEIIwydhI4QQQuskbIQQQmidhI0QQgitk7ARQgihdRI2QghRwepVqwgODtZ1GQZFwkYIISqY9cFMrl65ousyDIqEjRBCVODm3orU1Mu6LsOgSNgI... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Polygon A B C D \\sim polygon A E F G, m \\angle A G F = 108, G F = 14, A D = 12, D G = 4.5, E F = 8, and A B = 26. Find B C.\nChoices:\n(A) 4.5\n(B) 12\n(C)... |
76a25920-ca35-4c2a-b292-5a36875e331e | iVBORw0KGgoAAAANSUhEUgAAAcQAAAFbCAYAAABLb/6JAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDLwMOgwmCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsiVdHP0z4p9fCYxi/UHqHuw2mehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRuaOlBwL0kg5LUihIQ7Zxf... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If m \\angle A F B = 8 x - 6 and m \\angle B F C = 14 x + 8, find the value of x so that \\angle A F C is a right angle.\nChoices:\n(A) 2\n(B) 3\n(C) 4\n(D) ... |
33234b3b-f962-4766-a2a4-6efc569dc6d1 | iVBORw0KGgoAAAANSUhEUgAAAXUAAAFsCAYAAAAzJCmbAAA/yklEQVR4nO3dfUBU550v8K/LWBhBFAyOyvAiIKIZIyigDSR4s/ElaaIJNsnqbUy8Jd1Ng7beXFNX202zt3rdeLNu1CTbhl4b08amWTGm3UZjbq40mCggoI6KiMirigjIiA7UIdw/xnPmDK8D83LOnPP9/NMhHcZHGb7znOf3O88zqqenpwdERKQKfyP3AIiIyHMY6kREKsJQJyJSEYY6EZGKMNSJiFSEoU5EpCIMdSIiFWGoExGpCEOdiEhFGOpERCrCUCciUhGGOhGR... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Circle A has diameters D F and P G. If P A = 7, find P G.\nChoices:\n(A) 7\n(B) 14\n(C) 28\n(D) 35"
},
{
"from": "assistant",
"value": "<think>\n... |
abe1c531-65fd-4453-a3d3-bfbfd398cf5f | iVBORw0KGgoAAAANSUhEUgAAAd8AAAFUCAYAAABldzZDAABfyUlEQVR4nO39V3Bb57rue/4HIkEEAiAJAoyicg6MkuUcp3POlmTLnmGtvavOrtr7XJ27U7u6qk9Vd1V3n73CtK3gnHNOclJiUqJypEgiECRBEjmOvgCnpqfTVGDW+7t0yeQQReDBGN/3Pa+iqqqKEEIIISaMZrIvQAghhLjcSPgKIYQQE0zCVwghhJhgEr5CCCHEBJPwFUIIISaYhK8QQggxwSR8hRBCiAkm4SuEEEJMMAlfIYQQYoJJ+AohhBATTMJXCCGEmGASvkII... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle v.\nChoices:\n(A) 12\n(B) 52\n(C) 68\n(D) 76"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to figure out the measu... |
1bbac533-1035-4f2c-8069-1ef4c6b2cbc7 | iVBORw0KGgoAAAANSUhEUgAAAQoAAADbCAYAAACV3t/3AAAU3ElEQVR4nO3de1TUdd4H8DePg4AQJGpsy6ijjKiFhS1kG97a8kLe4dE90sVcta1Me3xYXTdK2SwXZc3WXGvLVq3NtiUxqidv1ZHCSrA0xRQVj6TkGS+IOAoKOM8fw/wcxxl+wPzu836d0zkT4PA19N3vM7/vfN9BDofDASKiZvyX2gsgIu1jUBCRKAYFEYliUBCRKAYFEYliUBCRKAYFEYliUBCRKAYFEYliUBCRKAYFEYliUBCRKAYFEYliUBCRKAYFEYliUBCRKAYF... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x.\nChoices:\n(A) 10\n(B) 15\n(C) 20\n(D) 25"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figure out how to find the... |
033b2f16-2d91-448c-886f-b77a97ef8b90 | iVBORw0KGgoAAAANSUhEUgAAAXoAAAESCAYAAADzBx6nAABHWklEQVR4nO2deViU5f7GPyOggriRSCoiAioqmKhoiaaVe+6e7Ogpl9ROmVZmmkdbbLGfabZpek5RWpZWKmqpuWRhgiviAiabO2iI7MgiDPP7Y5xhBkEGmOV933k+1+V1ITPv8Mzy3vO83+d+7q/qanKKBgmgUqkq/L1GI4nh1QrD52bK86nu/a2NpcdX/rNgzddAKq+9JcYhledWXUwZt1yfmymY47nVMddgBAKBQCBNHB0dHW09BkDM6Gtzf2sjZvTyHIdUnlt1ETP6... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Use parallelogram N Q R M to find w.\nChoices:\n(A) 4\n(B) 12\n(C) 14\n(D) 29"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I've got thi... |
e04e04b6-828f-4e05-993d-9c21da9af455 | iVBORw0KGgoAAAANSUhEUgAAAMAAAAC9CAYAAADlYHIYAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the area of the circle. Round to the nearest tenth.\nChoices:\n(A) 18.8\n(B) 37.7\n(C) 113.1\n(D) 452.4"
},
{
"from": "assistant",
"value": ... |
ad70710d-7486-4549-9c93-01ac94e90847 | iVBORw0KGgoAAAANSUhEUgAAAUoAAADDCAYAAADk4VihAAAaKElEQVR4nO3dbUCUVd4G8IscBARRSSIFkgSFJ8eUBK2g1c1VLM0X3GwxtUisdQOLXGvTTbPSzcwoGHWfxMiX1SdNUnYrUbfVglURBXJSRHzLIcMRBASHwcF5PoyMzAhzD3AP83b9vo3NywmHy3Of/33+x0Wr1WpBREStusvaAyAisnUMSiIiAQxKIiIBDEoiIgEMSiIiAQxKIiIBDEoiIgEMSiIiAQxKIiIBDEoiIgEMSiIiAQxKIiIBDEoiIgEMSiIiAQxKIiIBDEoi... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x.\nChoices:\n(A) 39.8\n(B) 42.5\n(C) 67.8\n(D) 68.9"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figure out how to ... |
6ac3f324-8543-4550-844b-76220677551b | iVBORw0KGgoAAAANSUhEUgAAALAAAADNCAYAAAAYC/pBAAAfH0lEQVR4nO2deUDUZf7HXzAitwKDiIJKnqBYqWgeaHmteUSHWrZlpVuuZqtW+OvasnK3tGwtN5XN1kpttTxKM4807TB0FRI3BBQhUETkvg+Hmfn9YV9CmBnmhPnOPK+/dOY7Mw/w5s37+3ye5/m41NfmahEIZIprWw9AILAEIWCBrBECFsgaIWCBrBECFsgaIWCBrGnX1gMQODDaq+yPnceSvQX6r/HrzdjJE7nn4XuY1NsXFxM/QjiwwHbUXCY5ocjwNaUXOLp1PYtj... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Use rhombus A B C D with m \\angle 1 = 2 x + 20, m \\angle 2 = 5 x - 4, A C = 15, and m \\angle 3 = y^ { 2 } + 26. Find A F.\nChoices:\n(A) 2.5\n(B) 5\n(C) 7... |
74eaa8a8-cea8-412d-873d-cb338d07013b | iVBORw0KGgoAAAANSUhEUgAAAL8AAADCCAYAAAAYVhMZAAAqf0lEQVR4nO2dfVxTV7a/H4YgRGMUFFFBQUBERQsqapWKt+NbX61a7dVpbZ1S506rnXE6Wm+1Y71T/VidjlO17W1ra6u99sVqfem0vvTXagtWBdEKKiIiYhAxBQSBkJKY3x8xhwRCCOQkOYE8fyVwcrKTfPfea6+99lo+er3egBcv7ZDfuLsBXry4C6/4vbRbZD4+Pu5ugxcvbsE78ntpt3hHfi/tFu/I76Xd4hW/l3aLV/xe2i1e8Xtpt3jF76XdInN3A7xIGQ3n33uK... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If A B = 60 and D E = 48, find C F.\nChoices:\n(A) 12\n(B) 18\n(C) 24\n(D) 30"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying t... |
678d37fe-6733-47f1-ba0f-7e6ad89568b2 | iVBORw0KGgoAAAANSUhEUgAAAWwAAAFFCAYAAADIPNdHAABdGklEQVR4nO3dZ3gc5dXG8f/MNq16b5ZsWe6S5d4bxsYFF3qvoZckBBKSkJAQaioheSFAKiX0YhsMBtx7b3KTJVf13rt2d2beDysrGFu2bEtarXV+18UHm9nVWXl1a/Yp51EMwzAQQgjR5ameLkAIIUTbSGALIYSXkMAWQggvIYEthBBeQgJbCCG8hAS2EEJ4CQlsIYTwEhLYQgjhJSSwhRDCS0hgCyGEl5DAFkIILyGBLYQQXkICWwghvIQEthBCeAkJbCGE8BIS2EII... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the length of X W.\nChoices:\n(A) 4\n(B) 5\n(C) 6\n(D) 9"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this problem where I ... |
33a7ff7f-3a3e-474d-85e4-a03c46dcc050 | iVBORw0KGgoAAAANSUhEUgAAASEAAAF2CAYAAAAhli5UAAAvWklEQVR4nO3dZ3Bc54Gn++d0QiPnQBCRASQRGJRISqICKdGSmETJaSzL4xlbtsd37J2q8Y43fpp7q2bGnt3ae6t2dxw043WQbCUmUVmkMilmgADBABCBCETOoYHucz+ApBgAEKGB0+H/q3KVS2wSBwTx4D1vOG2YpmkiImIRm9UXICLhTRESEUspQiJiKUVIRCylCImIpRQhEbGUIiQillKERMRSipCIWEoREhFLKUIiYilFSEQspQiJiKUUIRGxlCIkIpZShETEUoqQ... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x.\nChoices:\n(A) 30\n(B) 45\n(C) 60\n(D) 75"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to solve this geometry proble... |
2b8aed42-2d60-4cc4-9dd6-10fbdafda318 | iVBORw0KGgoAAAANSUhEUgAAAXUAAAEhCAYAAACA4jApAAAWxElEQVR4nO3dT2wUZ5rH8V9WHIyUoTGSD2TkxoRoD6NuJbsjLmkPkD1khBGM92ZbHpm9jM0yiXJhLHmQlgNjyUJaoc2wmLmMvbGwj86MbDRzCSbuHNbSimy35jTeMd0CHyxhCiLhA5L30F3ltx33P7u7qvqt7+fUCkUoQffPT7/1Ps/71vb29rYAAFb4u6BvAADQOIQ6AFiEUAcAixDqAGARQh0ALEKoA4BFCHUAsAihDgAWIdQBwCKEOgBYhFAHAIsQ6gBgEUIdACxC... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: For trapezoid Q R T U, V and S are midpoints of the legs. If R Q = 5 and V S = 11, find U T.\nChoices:\n(A) 5\n(B) 12\n(C) 17\n(D) 20"
},
{
"from": "... |
734ca8c8-b90e-48ce-a285-4b25bd267057 | iVBORw0KGgoAAAANSUhEUgAAAXUAAACqCAYAAABS4t+GAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3tPQg4F6SQUlqRQmIds4v... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the measure of \\angle 3.\nChoices:\n(A) 49\n(B) 50\n(C) 60\n(D) 70"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to fig... |
1bec4406-e479-44e8-85f4-f0c4bfd1b236 | iVBORw0KGgoAAAANSUhEUgAAAXoAAAESCAYAAADzBx6nAABHWklEQVR4nO2deViU5f7GPyOggriRSCoiAioqmKhoiaaVe+6e7Ogpl9ROmVZmmkdbbLGfabZpek5RWpZWKmqpuWRhgiviAiabO2iI7MgiDPP7Y5xhBkEGmOV933k+1+V1ITPv8Mzy3vO83+d+7q/qanKKBgmgUqkq/L1GI4nh1QrD52bK86nu/a2NpcdX/rNgzddAKq+9JcYhledWXUwZt1yfmymY47nVMddgBAKBQCBNHB0dHW09BkDM6Gtzf2sjZvTyHIdUnlt1ETP6... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Use parallelogram N Q R M to find x.\nChoices:\n(A) 4\n(B) 12\n(C) 14\n(D) 29"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this ... |
77eed38e-f32b-4f99-9856-8caafed638f4 | iVBORw0KGgoAAAANSUhEUgAAAXcAAAD7CAYAAACRxdTpAAA9OElEQVR4nO3deVyU5f7/8RcCKoQbqwiyCSiKmihqrlRq5qlIzUpLs5PVaV/157FFrWPnpG3fk2mdNJfUFnPNVs20xAXXFBc2WQQR2WSRRRjm98c4w6DsMsw993yej0ePB8nijTPznuu+7ut63zZarVaLEEIIVWll7gMQQgjR/CTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchRBChSTchYlo... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Use parallelogram J K L M to find b if J K = 2 b + 3 and J M = 3 a.\nChoices:\n(A) 7\n(B) 14\n(C) 21\n(D) 45"
},
{
"from": "assistant",
"value": ... |
378cc4de-7a81-4a74-b43e-ab843e72612d | iVBORw0KGgoAAAANSUhEUgAAAykAAAE8CAYAAADE7v5rAACKH0lEQVR4nO3deViU5frA8S8Ou4CAIqiIgIAbmhvuJplLaqlpq2bLL9vVY8e0sk7LKTul2WbHsjxtlra5tZlLpuaW5JLiBoqIoCgKCCMDDMP8/hiYhWVmgIGZgftzXV0Xz/DOzCsNvO/93M99Py5arVaLEEIIIYQQQjiIZvY+ASGEEEIIIYQwJkGKEEIIIYQQwqFIkCKEEEIIIYRwKBKkCCGEEEIIIRyKBClCCCGEEEIIhyJBihBCCCGEEMKhSJAihBBCCCGEcCgSpAgh... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Each pair of polygons is similar. Find x.\nChoices:\n(A) 60\n(B) 87\n(C) 91\n(D) 98"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have... |
d765ea71-d020-44e3-a45d-3bc63bacd32f | iVBORw0KGgoAAAANSUhEUgAAAcsAAAFeCAYAAADqqTS3AAAsjElEQVR4nO3dXWwb573n8X/OyUUCtJmkRS7cLudIqZELg6y9CbwFQtUvxaI5omBHe0cKMuSeC4uK6212C5VYVkBdwBWgGt2mSWVRuYmFaEXeHdWGKLQXJy9H9EE3SNYpCV8UTZMOkeQiaJ1xAsQ4a6z2QpnRzPBl+DLDITnfDxDA4stwQon8zfM8/+d57tvd3d0VAADQ0N8FfQIAAPQ7whIAABeEJQAALghLAABcEJYAALggLAEAcEFYAgDggrAEAMAFYQkAgAvCEgAA... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle B.\nChoices:\n(A) 90\n(B) 180\n(C) 270\n(D) 360"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figure out th... |
f49ded6d-2031-43e3-83af-1a62a1646ded | iVBORw0KGgoAAAANSUhEUgAAAPUAAAERCAYAAACjE+FFAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDIIMbAyKCXmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2SW9PLvlU2BmXz/GZa+d+u+ex1TPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3tPQg4F6SQUlqRQmIds4v... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find z in the figure.\nChoices:\n(A) 16\n(B) 36\n(C) 42\n(D) 48"
},
{
"from": "assistant",
"value": "<think>\nThe figure shows a square divided b... |
a49ac128-d84b-4263-9d97-59d58f350b1e | iVBORw0KGgoAAAANSUhEUgAAAZEAAAGbCAYAAAAFuq0xAAAq1UlEQVR4nO3dXWjUd9738e/e5CCCXuMIOVCZMZqSA5k81GIFJ2rkAkWlzexZIr0x8aBGe+1lrHSFrOAIIuSW1vHeuxp70ES2mJztZJcqES6M0RRaqY3J4EFoYpwh60HAOM2CORB6HyQT83+Yycx/Hv5P7xcsbMZk+seHfPL7/b7f7+8Pv//+++8CAIAB/8vsBwAA2BchAgAwjBABABhGiAAADCNEAACGESIAAMMIEQCAYYQIAMAwQgQAYBghAgAwjBABABhGiAAADCNE... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If C D F G is a kite, find G F.\nChoices:\n(A) 3\n(B) 4\n(C) 5\n(D) 7"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this geometry... |
d80192e9-960c-4ff3-b7b3-c5d1e27d1278 | iVBORw0KGgoAAAANSUhEUgAAAo4AAAGVCAYAAABw93AlAACUyElEQVR4nOzdd2BUZdbH8e+902fSe6H33ruCFSsICth713V9rVt017aWXV3r2neta1nFRhEFOyAIokhJCC0QSoD0Nn3uve8fkwYkIUBC2vn8syukTIbJvb95nvOcoxiGYSCEEEIIIcQhqC39AIQQQgghRNsgwVEIIYQQQjSKBEchhBBCCNEoEhyFEEIIIUSjSHAUQgghhBCNIsFRCCGEEEI0igRHIYQQQgjRKBIchRBCCCFEo0hwFEIIIYQQjSLBUQghhBBCNIoERyGE... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find y.\nChoices:\n(A) 6\n(B) 8\n(C) 10\n(D) 20"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this geometry problem here where I ... |
ddcb5934-969c-4667-a934-175a133cfb8f | iVBORw0KGgoAAAANSUhEUgAAASYAAACeCAYAAACfKqd2AAAcf0lEQVR4nO3deUBU9frH8TcOaCAugIQEGihoJG4l6g1SK3E3d03LrbhWVr/Ssry2qGWLWlnX0qvi3k3NXFCvmqmpibnlBooirmCIBCgiizCe3x8IjiPDDDgzHGae13/omZkzcOaZz/l+v885DoqiKAghhIpUqegdEEIIfVKYhBCqI4VJCKE6UpiEEKojhUkIoTpSmIQQqiOFSQihOlKYhBCqI4VJCKE6UpiEEKojhUkIoTpSmIQQqiOFSQihOlKYhBCqI4VJCKE6UpiE... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: W X Y Z is a parallelogram. Find m \\angle X W Z.\nChoices:\n(A) 33\n(B) 65\n(C) 82\n(D) 115"
},
{
"from": "assistant",
"value": "<think>\nOkay, ... |
64f62336-c2ee-4b7a-9d89-992b3bbffa9e | iVBORw0KGgoAAAANSUhEUgAAAO0AAAC1CAYAAACzkHgVAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the area of the parallelogram. Round to the nearest tenth if necessary.\nChoices:\n(A) 35\n(B) 38.4\n(C) 70\n(D) 140"
},
{
"from": "assistant",
... |
5a0b3026-1e9b-49a8-968a-d0c5a156f0c6 | iVBORw0KGgoAAAANSUhEUgAAARkAAADHCAYAAAAtUyf8AAAjM0lEQVR4nO3dfVyT9f4/8JfOyc1AJzcTQRFR0rAbkVmGpHlXaoYPDL+//H7Nk9ZPTctuDmU3P+3Gzi9N8pinO+uUlp6j3/CbyVExb8LMMBWEypAjioAMEMYExhhzMb5/rF3bYBu7xq5d17b38582GdvV2F7X5+Z9fT59fm+v6QQhhHCkL98HQAjxbRQyhBBOUcgQQjhFIUMI4RSFDCGEUxQyhBBOUcgQQjhFIUMI4RSFDCGEUxQyhBBO9eP7AAhxRpmiDQBwodL439La... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x. Assume that segments that appear to be tangent are tangent.\nChoices:\n(A) 3\n(B) 9\n(C) 12\n(D) 15"
},
{
"from": "assistant",
"value": "... |
3b342c06-ce6e-41b9-9a96-d598a7f0eec8 | iVBORw0KGgoAAAANSUhEUgAAAdwAAAHNCAYAAAC0KcrLAACWwklEQVR4nOzddXhb2bX38e8RS5bMlmQIOZwJwzBksMM8k+G2M7e95fYt8y1zb3uLU5h2OpBhZuZkZsLMHJPMYp2jc877h5zEFDZI9vo8T5/n3tZ2FMc+P+219l5bMU3TRAghhBD9yjLYL0AIIYQYDiRwhRBCiAEggSuEEEIMAAlcIYQQYgBI4AohhBADQAJXCCGEGAASuEIIIcQAkMAVQgghBoAErhBCCDEAJHCFEEKIASCBK4QQQgwACVwhhBBiAEjgCiGEEANAAlcI... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x.\nChoices:\n(A) 4\n(B) 6\n(C) 8\n(D) 10"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figure out how to find the va... |
2e32f3b9-1969-476c-bd2c-9927296b8193 | iVBORw0KGgoAAAANSUhEUgAAAlgAAAFjCAYAAADhM3UvAACHn0lEQVR4nOzdd5gV5dnH8e/MnF6290rbpUhHUFAEu4AoYI+JiemJid1YYzQmxt5NfRNNNNbYxYYNRVGk9163993Ty8y8f5x1AaUssAtb7s91eSXKshx298z85nnu574V0zRNhBBCCCFEh1GP9AsQQgghhOhpJGAJIYQQQnQwCVhCCCGEEB1MApYQQgghRAeTgCWEEEII0cEkYAkhhBBCdDAJWEIIIYQQHUwClhBCCCFEB5OAJYQQQgjRwSRgCSGEEEJ0MAlYQgghhBAd... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x.\nChoices:\n(A) 2\n(B) 3\n(C) 4\n(D) 5"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this geometry problem involving two p... |
fb1ed5d1-9006-4af9-8309-924b4a033b71 | iVBORw0KGgoAAAANSUhEUgAAARMAAAD6CAYAAACClaNGAAAo9UlEQVR4nO3de1yUdfr/8RcgKQKCgIigiCCKiHlCU1LM1N3VWlvL2tx0SytrdX9Wrlu2fbez28lOftdsza9W2sk0dzuYJWq6iZWKloooQpxBhZHzMAIzvz+mGQY5DTDDzNz39Xw8fDwAB705zHs+93197utyq6spMCCEEJ3k7ugDEEIog4SJEMImJEyEEDYhYSKEsAkJEyGETUiYCCFsQsJECGETEiZCCJuQMBFC2ISEiRDCJiRMhBA2IWEihLAJCRMhhE1ImAghbELC... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the perimeter of \\triangle Q R S if \\triangle Q R S \\sim \\triangle Q T P.\nChoices:\n(A) 9\n(B) 14\n(C) 21\n(D) 42"
},
{
"from": "assistant"... |
72875869-506f-47ec-b695-47e1169b026f | iVBORw0KGgoAAAANSUhEUgAAAgkAAAG+CAYAAAAZRZeoAACr4klEQVR4nOzddXhk5dnA4d8Zt7j7JpvNurKu7OKuFUqFCi3FoUrbj3pLaYsVaYEabWkpxd2WFdbdN8nG3SaTyfjMOef7YyaTZFlnN8lM3vu6KLTdJJMwOec572OSqqoqgiAIgiAIh9EM9wsQBEEQBGFkEkGCIAiCIAhHJIIEQRAEQRCOSAQJgiAIgiAckQgSBEEQBEE4IhEkCIIgCIJwRCJIEARBEAThiESQIAiCIAjCEYkgQRAEQRCEIxJBgiAIgiAIRySCBEEQBEEQ... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The triangle is inscribed into the circle. Find the exact circumference of the circle.\nChoices:\n(A) 6 \\pi\n(B) 6 \\sqrt 2 \\pi\n(C) 12 \\pi\n(D) 12 \\sqrt... |
aae97ce9-cb85-40c3-99c5-89d2470a329e | iVBORw0KGgoAAAANSUhEUgAAAXwAAADjCAYAAACGoK/oAAAZGElEQVR4nO3db2gb6Z0H8O92F+rlrp54j6WXK5rYSdoXQbouW/JmR2fHd5BgmWTTVycZp/a+WTvrDZejuALFUAe8Bq3p4TbnRM6bxBdj6dWR3cUyCRybuNZSCJf+mSEvtknsjGhD2TbO5ApxwTT3Qp6JZEuWbGk0M3q+Hwhkx4r1eKXn65+e+c0zr7x48eIFiIio4X3N6QEQEVF9MPCJiATBwCciEgQDn4hIEAx8IiJBMPCJiATBwCciEgQDn4hIEAx8IiJBMPCJiATB... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Quadrilateral A B C D is a rectangle. m \\angle 2 = 40. Find m \\angle 7.\nChoices:\n(A) 40\n(B) 45\n(C) 50\n(D) 90"
},
{
"from": "assistant",
"v... |
c67161b5-b9bb-4454-bf8f-752a6684e072 | iVBORw0KGgoAAAANSUhEUgAAAZAAAAE+CAYAAACjqUZSAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDLwMOgwmCamFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsiVdHP0z4p9fCYxi/UHqHuw2mehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRuaOlBwL0kg5LUihIQ7Zxf... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the value of the variable x in the figure.\nChoices:\n(A) 46.7\n(B) 60\n(C) 70\n(D) 80"
},
{
"from": "assistant",
"value": "The image shows ... |
b27b1e48-33af-4d1a-802c-b1dddc5e64d5 | iVBORw0KGgoAAAANSUhEUgAAAOIAAADdCAYAAACmPK6vAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the area of the shaded sector. Round to the nearest tenth.\nChoices:\n(A) 1.5\n(B) 2.2\n(C) 3.8\n(D) 5.3"
},
{
"from": "assistant",
"value":... |
655ff4be-f37b-4aab-b173-5bc7b58b7d5d | iVBORw0KGgoAAAANSUhEUgAAAuoAAAGrCAYAAACWi7LyAAC9pUlEQVR4nOzdZ3yb93no/d+NvUEC4CZBUhI1SC1rUJL3lIck2+nI3k7anqenadO0TXMymjZJT0fS5qR9nvY0q0nTrDbxkLwk76FBDUuWRA1K3ARAEgCJvXE/L0DRQ7KszXV93/hjiQT/FEHguq/7GoqqqipCCCGEEEKIaUUz1QcQQgghhBBCnE0CdSGEEEIIIaYhCdSFEEIIIYSYhiRQF0IIIYQQYhqSQF0IIYQQQohpSAJ1IYQQQgghpiEJ1IUQQgghhJiGJFAXQggh... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Q is the centroid and B E = 9. Find Q E.\nChoices:\n(A) 3\n(B) 6\n(C) 9\n(D) 12"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have thi... |
afe040e4-9ec8-43af-98e1-b8a45a45ba8f | iVBORw0KGgoAAAANSUhEUgAAAZMAAAGMCAYAAAAfnE8vAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, m \\angle 1 = 53. Find the measure of \\angle 2.\nChoices:\n(A) 97\n(B) 107\n(C) 117\n(D) 127"
},
{
"from": "assistant",
"value": ... |
4329c84c-8d5b-4e27-a1f7-145d287fd132 | iVBORw0KGgoAAAANSUhEUgAAAO8AAAEnCAYAAABBvBTUAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, Q R \\parallel T S, Q T \\parallel R S, and m \\angle 1 = 131. Find the measure of \\angle 4.\nChoices:\n(A) 49\n(B) 59\n(C) 69\n(D) 131"
},... |
57b04335-2e2a-48bc-a4a6-eca2d098443c | iVBORw0KGgoAAAANSUhEUgAAAngAAAGrCAYAAABT1eomAABw+0lEQVR4nO3dd5hU5dkG8PtMn+29F2B7A0FQmoC9xY4iAqIxmtiNNSZGTeJn7xo1GhtNUewtVjqCAirbC7ts7313+jnn+2OHM7OICsuW2Zn7d13+8Rn37Hwwc849z/u+zyPIsiyDiIiIiLyGaqxfABERERENLwY8IiIiIi/DgEdERETkZRjwiIiIiLwMAx4RERGRl2HAIyIiIvIyDHhEREREXoYBj4iIiMjLMOAREREReRkGPCIiIiIvw4BHRERE5GUY8IiIiIi8DAMe... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: J H is a midsegment of \\triangle K L M. Find x.\nChoices:\n(A) 5\n(B) 10\n(C) 11\n(D) 22"
},
{
"from": "assistant",
"value": "<think>\nOkay, so ... |
33f942b7-1918-4557-9136-aad7f6de097f | iVBORw0KGgoAAAANSUhEUgAAAj0AAAGECAYAAADdvJEhAAA63UlEQVR4nO3df2xU573n8W+6aC9dFU7Ibv5IwkwgoGjDzgS22dzkZlx+dLdEtpXge9ura/s6AnK1salL6yol1rqoIStiyaHZ0uZSjyPdgBVfz1S36XVAtgXZbYB6KNmoFWTmOlIUEnImJH9EChxTCbRCl/1jOMfnnDnz+8eZM+f9kqLisT0cxvXMZ57n8zzPbTdv3rwpAAAATe4rbl8AAABAPRB6AACALxB6AACALxB6AACALxB6AACALxB6AACALxB6AACALxB6AACA... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle J.\nChoices:\n(A) 52\n(B) 62\n(C) 72\n(D) 150"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to solve this geom... |
2fba1682-11a0-4eaa-ab03-b6a70ee567dd | iVBORw0KGgoAAAANSUhEUgAAARIAAAD7CAYAAACmCxvdAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIMRgyKCfmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisB/O42vdrVBiX2l66POt2/ANM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the area of the shaded sector. Round to the nearest tenth.\nChoices:\n(A) 15.5\n(B) 46.5\n(C) 66.6\n(D) 113.1"
},
{
"from": "assistant",
"va... |
c6f6e018-51d3-4628-9d8e-88ab2101f8c1 | iVBORw0KGgoAAAANSUhEUgAAAeQAAAGJCAYAAABbxEB9AACCcUlEQVR4nOz9V3Bc157veX53WthMAIlMOAIgCcIRht6JkijvKIlO0nFV5xyp7q263T3z0i/dL/MyDxMxERP90jM901W3JB1vJFIiRVnKS5RIghbeEx5Ij/Q+9zwkRJkjUvRIAP9PRFVFUTALQOb+7f1f/7WWoqqqihBCCCEWlWaxByCEEEIICWQhhBAiK0ggCyGEEFlAAlkIIYTIAhLIQgghRBaQQBZCCCGygASyEEIIkQUkkIUQQogsIIEshBBCZAEJZCGEECILSCAL... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find R S.\nChoices:\n(A) 5\n(B) 15\n(C) 20\n(D) 25"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figure out the length of ... |
5f7087c2-364e-4da6-8715-aaf5cec37b37 | iVBORw0KGgoAAAANSUhEUgAAAZMAAAGMCAYAAAAfnE8vAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, m \\angle 1 = 3 a + 40, m \\angle 2 = 2 a + 25, and m \\angle 3 = 5 b - 26. Find a.\nChoices:\n(A) 23\n(B) 25\n(C) 27\n(D) 29"
},
{
"f... |
467f978d-9567-42f1-acc7-492389484b40 | iVBORw0KGgoAAAANSUhEUgAAAcUAAAFSCAYAAACDosR/AAAlhUlEQVR4nO3dTWgc97rn8SeDL8iQpCyDF3ZQW8bhLEL3sYfgWaR17OTuJJFES8koyGcTSSg+eAZ8GxQtFYGOYSY3jkZSNrGIUGt3FRtJu0nso85izJmxTzd3cYmJTje2FwbbdWywYASahbrLVf+qbvVLVdfb9wMBVbtbrril/tX/5Xnqjb29vT0BAADyn/w+AQAAgoJQBACgjFAEAKCMUAQAoIxQBACgjFAEAKCMUAQAoIxQBACgjFAEAKCMUAQAoCwQofjR+Qvybvcp... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle Y.\nChoices:\n(A) 18\n(B) 36\n(C) 72\n(D) 144"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figure out the ... |
8f3cf928-63c3-4807-a358-b24e5410091a | iVBORw0KGgoAAAANSUhEUgAAAWIAAAEdCAYAAAA2KG1uAAAuFElEQVR4nO3dfVxUdd438A8CwSCigETKKIg8qUP5hLphYd1p2rZhurZXbtn6WtzdNm3XbWndaje77urlldde7qZb3UVb1qa766pZbT716oLC1gSRYlSeJNBBxZFRRmAgBub+Y5zDGRhgZpiZc87M5/3XADPDDz3nM7/z/T2cIIvFYgEREUlmhNQNICIKdAxiIiKJMYiJiCTGICYikhiDmIhIYgxiIiKJMYiJiCTGICYikhiDmIhIYgxiIiKJMYiJiCTGICYikhiDmIhI... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Circle L has a radius of 32 centimeters. L H \\perp G J, and G J = 40 centimeters. Find L K.\nChoices:\n(A) 20\n(B) \\sqrt { 624 }\n(C) 40\n(D) 624"
},
{... |
2a2e3222-72cd-4017-bc94-1a976cff0bee | iVBORw0KGgoAAAANSUhEUgAAAcsAAAFeCAYAAADqqTS3AAAsjElEQVR4nO3dXWwb573n8X/OyUUCtJmkRS7cLudIqZELg6y9CbwFQtUvxaI5omBHe0cKMuSeC4uK6212C5VYVkBdwBWgGt2mSWVRuYmFaEXeHdWGKLQXJy9H9EE3SNYpCV8UTZMOkeQiaJ1xAsQ4a6z2QpnRzPBl+DLDITnfDxDA4stwQon8zfM8/+d57tvd3d0VAADQ0N8FfQIAAPQ7whIAABeEJQAALghLAABcEJYAALggLAEAcEFYAgDggrAEAMAFYQkAgAvCEgAA... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle D.\nChoices:\n(A) 36\n(B) 74\n(C) 78\n(D) 128"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figure out the ... |
12e3cd63-04ec-431f-99b1-0feda77af446 | iVBORw0KGgoAAAANSUhEUgAAAZMAAAGMCAYAAAAfnE8vAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, m \\angle 1 = 53. Find the measure of \\angle 6.\nChoices:\n(A) 53\n(B) 57\n(C) 63\n(D) 67"
},
{
"from": "assistant",
"value": "<t... |
18b5df37-a146-4365-8727-ed13d938e9b5 | iVBORw0KGgoAAAANSUhEUgAAAO4AAACgCAYAAAALvFA+AAAROklEQVR4nO3de1hU9b7H8TcCASogICGBioAXEi1TtAQD85p2vGRaWsedpe7SzMxHzS7HLC2FFMwumpa6u7h3eUPziqmco6TgrcIEEREDEREQRREHXPsP9xApeERnrZk18339OYzPfOGZj781n/WbtewURVEQQuhKPXMPIISoOwmuEDokwRVChyS4QuiQBFcIHZLgCqFDElwhdEiCK4QOSXCF0CEJrhA6JMEVQockuELokARXCB1y0P4lKyjYNJ1Hx63CUNOPPe7nsScG... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: a = 14, b = 48, and c = 50, find \\tan B.\nChoices:\n(A) 3.43\n(B) 4.8\n(C) 5.2\n(D) 6.86"
},
{
"from": "assistant",
"value": "<think>\nOkay, so ... |
dc159beb-ae69-4258-8301-0f275f3ed0d3 | iVBORw0KGgoAAAANSUhEUgAAAS4AAADUCAYAAAAiPs6IAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDOIMxgxKCQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy9KZZ1r+/9V1aWsTOvyc7xmmehTAlZJanAyk/wBxenJBUQkDA2MKkK1cXlIAYncA2SJFQEcB2XNA7HQIewOInQRhHwGrCQlyBrJvANkCyRmJQDMYXwDZOklI4ulIbKi9IMDr4urjoxDsamRuaOlBwL0kg5LUihIQ7Zxf... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find y.\nChoices:\n(A) 3\n(B) 3 \\sqrt { 3 }\n(C) 9\n(D) 6 \\sqrt { 3 }"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figu... |
ac6964c0-2b32-4d4d-a96d-c97eaf55ee56 | iVBORw0KGgoAAAANSUhEUgAAAf0AAADACAYAAAAOX7pPAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMRgxsCbmFxc4BgQ4ANUwgCjUcG3awyMIPqyLtis0to2Jyc+42aWnY77PzsuxFSPArhSUouTgfQfIE5PLigqYWBgTAGylctLCkDsDiBbpAjoKCB7DoidDmFvALGTIOwjYDUhQc5A9g0gWyA5IxFoBuMLIFsnCUk8HYkNtRcEeF1cfXwUgl2NzA0tPQi4l2RQklpRAqKd8wsq... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x in the figure.\nChoices:\n(A) 14\n(B) 15\n(C) 16\n(D) 17"
},
{
"from": "assistant",
"value": "<think>\nAlright, so I need to find the valu... |
48a1ed84-c827-4412-88f2-467605d828b1 | iVBORw0KGgoAAAANSUhEUgAAAq4AAAGgCAYAAABrHeXrAAB1mklEQVR4nO39V2Bc1aH/fX/3VPXem3vvvck2vYbQCYRQkpBGyzn/9716L5/r53nOwaYHQnohPUACBHBRce+9W5pRGfU+de/9XowwkGBjy7KlkX+fO4y1vSTLM1+tvfZahm3bNiIiIiIio5xjpAcgIiIiInIxFK4iIiIikhAUriIiIiKSEBSuIiIiIpIQFK4iIiIikhAUriIiIiKSEBSuIiIiIpIQFK4iIiIikhAUriIiIiKSEBSuIiIiIpIQFK4iIiIikhAUriIiIiKS... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle B.\nChoices:\n(A) 44\n(B) 89\n(C) 92\n(D) 98"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find the measure of ... |
4f5a3aba-ec36-4d9e-b809-7dcda265c48c | iVBORw0KGgoAAAANSUhEUgAAAlsAAAFtCAYAAAAwDq9cAAB/zklEQVR4nOz9d3Cb593/e75v9A4CBEiCTYWiKtUrJfcalziOnThOnDiJE5ckz/M7vzM7u3vO7JyZ/WN3dvbsnt09T0ncUpzkSXES97h3W6J6oRolihJFEgRJgCRAot8A7v0DpEQ1qlgURfL7mtEMBZI3bpAE7g+u63t9L0XTNA0hhBBCCDEhdJN9AkIIIYQQ05mELSGEEEKICSRhSwghhBBiAknYEkIIIYSYQBK2hBBCCCEmkIQtIYQQQogJJGFLCCGEEGICSdgSQggh... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x.\nChoices:\n(A) 3\n(B) 6\n(C) 13\n(D) 19"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find the value of \\( x \\) in t... |
9c4b932b-7ae6-43b4-bbe4-287d61008628 | iVBORw0KGgoAAAANSUhEUgAAAdgAAAFZCAYAAAA7NT7kAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMjAxaCYmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisAzE/mqMZRJ9vLbg2Z0nKum2Y6lEAV0pqcTKQ/gPE6ckFRSUMDIwpQLZyeUkBiN0BZIsUAR0FZM8BsdMh7A0gdhKEfQSsJiTIGci+AWQLJGckAs1gfAFk6yQhiacjsaH2ggCvi6uPj0Kwq5G5oaUHAfeSDEpSK0pAtHN+... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, m \\angle 3 = 110 and m \\angle 12 = 55. Find the measure of \\angle 6.\nChoices:\n(A) 110\n(B) 115\n(C) 120\n(D) 125"
},
{
"from": "a... |
f87bf9e0-7a89-47f6-9232-ed6bc6ebe536 | iVBORw0KGgoAAAANSUhEUgAAAR0AAACnCAYAAAAsTIjcAAAYn0lEQVR4nO3de0CUZdrH8S8OIyCIHEQyUQ6yIgKeEiwP6VaK666HPNRqaZqHd8u0Vze1trLctEzfMjV1S83UVjzksS1PbWstZoqlJoISKiqohKDgCCLgvH8MM47TgCBzeGbm+vynMwO348xvnrme+7kuN61Wq0UIIWyknr0XIIRwLRI6QgibktARQtiUhI4QwqYkdIQQNiWhI4SwKQkde9Oe4fNRHYkMCycyLJy2r+2l6G4PuZbCgv5xlY/pyOiNZ5B9D8JRSOiYoy3i... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the measure of the altitude drawn to the hypotenuse.\nChoices:\n(A) 8\n(B) 8 \\sqrt { 2 }\n(C) 16\n(D) 16 \\sqrt { 2 }"
},
{
"from": "assistant"... |
0fcf4b77-4269-48d8-ac5c-f389f7ff2b22 | iVBORw0KGgoAAAANSUhEUgAAAkQAAAD1CAYAAACx6eqjAAAxHklEQVR4nO3deUCU5drH8e8IKBAuoIgICSqIe264F1SYaSapmUcrs7JO+3JKs9SyY3ZMKyvN6s2y0jQzNc00l1LLJZfcEWVRVAwRAUFkEYZ5/0DNUTZlYAbm9/mLZp4Zb214nt/c9/Xcl8FkMpkQERERsWPVrD0AEREREWtTIBIRERG7p0AkIiIidk+BSEREROyeApGIiIjYPQUiERERsXsKRCIiImL3FIhERETE7ikQiYiIiN1TIBIRERG7p0AkIiIidk+BSEREROye... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find y.\nChoices:\n(A) 4\n(B) 4 \\sqrt { 3 }\n(C) 8\n(D) 8 \\sqrt { 3 }"
},
{
"from": "assistant",
"value": "<think>\nOkay, let me try to figure ... |
82a55344-4b89-46de-908c-a714a7818e21 | iVBORw0KGgoAAAANSUhEUgAAAj0AAAGECAYAAADdvJEhAAA63UlEQVR4nO3df2xU573n8W+6aC9dFU7Ibv5IwkwgoGjDzgS22dzkZlx+dLdEtpXge9ura/s6AnK1salL6yol1rqoIStiyaHZ0uZSjyPdgBVfz1S36XVAtgXZbYB6KNmoFWTmOlIUEnImJH9EChxTCbRCl/1jOMfnnDnz+8eZM+f9kqLisT0cxvXMZ57n8zzPbTdv3rwpAAAATe4rbl8AAABAPRB6AACALxB6AACALxB6AACALxB6AACALxB6AACALxB6AACALxB6AACA... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle K.\nChoices:\n(A) 62\n(B) 72\n(C) 116\n(D) 160"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to figure out the mea... |
5c9762ea-e922-4abb-8e51-48e04679f55c | iVBORw0KGgoAAAANSUhEUgAAAQsAAAETCAYAAAAh0COkAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIM6gzSCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis20t6bu0rWcNrOvtoo53qmxxM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find M N if \\triangle J M N is an isosceles triangle with J M \\cong M N.\nChoices:\n(A) 2\n(B) 3\n(C) 4\n(D) 5"
},
{
"from": "assistant",
"valu... |
bf145198-3dd5-41e3-b1d2-30c0e12a2ea5 | iVBORw0KGgoAAAANSUhEUgAAAQIAAABjCAYAAABwkA4bAAASIklEQVR4nO3deUDUdf7H8ecohCAhNxkqHoCiJOKBClpuUuaxirhla2q2ouaxSWWHYJmllXms2xrqL1yPzfK+rxSvFEEIhDxQBzQFMkRmENEBZZjfHwoBiQLDMAjvx38yXz98GGZe8+bz/RwKnU6nQwhRrzUwdgeEEMYnQSCEkCAQQkgQCCGQIBBCIEEghECCQAiBBIEQAgkCIQQSBEIIJAiEEEgQCCGQIBBCIEEghECCQAgBmFT2P6hy8rCbFWmIvghRK2wa2obAXi2N... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x.\nChoices:\n(A) 11.4\n(B) 22.6\n(C) 32.3\n(D) 43.2"
},
{
"from": "assistant",
"value": "<think>\nAlright, so I'm trying to figure out how ... |
781787e4-ccbe-4393-905c-1f00ab0ee067 | iVBORw0KGgoAAAANSUhEUgAAAgwAAAESCAYAAACRso15AAAn6ElEQVR4nO3deVxVdcLH8S8BKYgoCAKKioo7amouqaU1mpUzOS1Tk202WfNMZc/0NPY0zbRNU2M5LZrV02ST2VTToo3ti03auGu44YYIiCggCLIEElzu88eVRUPOvXDuPXf5vF+veb2ucqHfi5HD55zz+/1OkN1utwsAAKAFZ1k9AAAA4P0IBgAAYIhgAAAAhggGAABgiGAAAACGCAYAAGCIYAAAAIYIBgAAYIhgAAAAhggGAABgiGAAAACGCAYAAGCIYAAAAIYIBgAA... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the perimeter of the given triangle \\triangle D E F, if \\triangle A B C \\sim \\triangle D E F, A B = 5, B C = 6, A C = 7, and D E = 3.\nChoices:\n(A)... |
90037505-95f6-48a4-bc8f-1b2aeec796b5 | iVBORw0KGgoAAAANSUhEUgAAAjYAAAHsCAYAAADB++fhAACjn0lEQVR4nOzdZ3gU5dfH8e/M9t30DoRQQu9FULABoiDYC1gfe68oRaWpYEFs2Lv+7YINRRABFRtFBUKTktBLet1s35nnxYYFlJJAIO18ros3moQhye6cue/ffY6i67qOEEIIIUQ9oNb0BQghhBBCVBcpbIQQQghRb0hhI4QQQoh6QwobIYQQQtQbUtgIIYQQot6Qwqaek0NvQgghGhJjTV+AqF7/LmQURamhKxFCCCGOPyls6rADFTFSyAghhGjIpLCpQ2Q1RgghhDg0... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find S T.\nChoices:\n(A) 5\n(B) 10\n(C) 12\n(D) 16"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to solve this geometry probl... |
b2ac6288-ab50-4cb5-94b0-8cf726140128 | iVBORw0KGgoAAAANSUhEUgAAAWwAAAFFCAYAAADIPNdHAABdGklEQVR4nO3dZ3gc5dXG8f/MNq16b5ZsWe6S5d4bxsYFF3qvoZckBBKSkJAQaioheSFAKiX0YhsMBtx7b3KTJVf13rt2d2beDysrGFu2bEtarXV+18UHm9nVWXl1a/Yp51EMwzAQQgjR5ameLkAIIUTbSGALIYSXkMAWQggvIYEthBBeQgJbCCG8hAS2EEJ4CQlsIYTwEhLYQgjhJSSwhRDCS0hgCyGEl5DAFkIILyGBLYQQXkICWwghvIQEthBCeAkJbCGE8BIS2EII... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the length of X Y.\nChoices:\n(A) 4\n(B) 5\n(C) 6\n(D) 9"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figure out the... |
676e3646-4e51-4888-91ab-a0278165333b | iVBORw0KGgoAAAANSUhEUgAAAXkAAADcCAYAAACVpdHUAAAVdklEQVR4nO3de3hU5YHH8V8YAkkIwQAhIteEm+FS5JJgl5u1YFeXxVu9t7q69mkrQXrx1vq0te5T26ewohLRapSu3dVaFYVaqy0qKFQJhFQJt3CHxJgEEgi5J5PZP/TAEJJJJpnMnPOe7+d5/CPJzPg+nDnfnJz3PWeifD6fTwAAI/WI9AAAAN2HyAOAwYg8ABiMyAOAwYg8ABiMyAOAwYg8ABiMyAOAwYg8ABisZ6QHAAStqUJ7N76tv6z7UJs+2KC8IzXyDJ+quTOm... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If \\angle R S T is a right angle, S U \\perp R T, U V \\perp S T, and m \\angle R T S = 47, find m \\angle S U V.\nChoices:\n(A) 47\n(B) 53\n(C) 55\n(D) 66"... |
5a4518f0-ac4d-4922-9fc5-3cdb50c32304 | iVBORw0KGgoAAAANSUhEUgAAANsAAADtCAYAAAA2oADwAAAYl0lEQVR4nO3de3xU5Z3H8Q9OQgiEQG5ETMjdhJBwlQAqiFdUqkCh2K6tii7ttrp1t1aoq1Zra1sKrdiq2K2uWnHZVgREu9IKL9dqQCGUi7mRmBuQC2NIIiEkgVzO/jFMGMLMZCbMnOvv/Xr5h2RmeMLJ9znfc55zToYoiqIghAi6S7QegBBWIWETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUSNiFUImETQiUS... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: J K L M is a rectangle. M L P R is a rhombus. \\angle J M K \\cong \\angle R M P, m \\angle J M K = 55 and m \\angle M R P = 70. Find m \\angle M P R.\nChoic... |
42a39937-8f88-47fc-86e0-a20baf336140 | iVBORw0KGgoAAAANSUhEUgAAAm0AAAFmCAYAAAA/JK3gAACDUUlEQVR4nOzdd3hc53Xv+++e3jHAoBeSAAvA3psoUiQlNvVuS7Jly7JluTuxndx7cnxyzs05yUmPkzhusmzJsiSrd1IkJZKi2HsHO3qfwQDT2973jwEhSmIBQYBEWZ/nceyQ4MwGZjCzZr3v+1uKpmkaQgghhBBiQNNd7wsQQgghhBCXJ0WbEEIIIcQgIEWbEEIIIcQgIEWbEEIIIcQgIEWbEEIIIcQgIEWbEEIIIcQgIEWbEEIIIcQgIEWbEEIIIcQgIEWbEEIIIcQg... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find y.\nChoices:\n(A) 56\n(B) 65\n(C) 73.5\n(D) 115"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to solve this geometry pro... |
9b1ec41d-a60e-418b-b76b-3b181d166094 | iVBORw0KGgoAAAANSUhEUgAAAiMAAAH0CAYAAADv+S27AACgkUlEQVR4nOz9d3zce17Y+7++dfpImlGXbbn7uHeftu0su8uybA0kIYENCVy4QEJ+gZAQSsJCcnOpCZckN1zIhQRIuBBCCYHdZfvp5/i4Hh/7uFd1TZGmf+vvj++oy7ZsSdaM/X7+s4/jlTRfaaT5vuf9eRfF930fIYQQQog1oq71BQghhBDiySbBiBBCCCHWlAQjQgghhFhTEowIIYQQYk1JMCKEEEKINSXBiBBCCCHWlAQjQgghhFhTEowIIYQQYk1JMCKEEEKINSXB... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the scale factor from W to W'.\nChoices:\n(A) 2\n(B) 4.5\n(C) 9\n(D) 18"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to... |
473c1229-36d1-43ec-9fc1-863140ed12ba | iVBORw0KGgoAAAANSUhEUgAAAUwAAADgCAYAAABox19+AAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMPAyGCWmFxc4BgQ4ANUwgCjUcG3a0B1QHBZF2TWrUbLwmfhj38ssohM0zVmMsBUjwK4UlKLk4H0HyBOTy4oKmFgYEwBspXLSwpA7A4gW6QI6Cggew6InQ5hbwCxkyDsI2A1IUHOQPYNIFsgOSMRaAbjCyBbJwlJPB2JDbUXBHhdXH18FIJdjcwNLT0IuJdkUJJaUQKinfML... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Express the ratio of \\sin A as a decimal to the nearest hundredth.\nChoices:\n(A) 0.60\n(B) 0.75\n(C) 0.80\n(D) 1.33"
},
{
"from": "assistant",
... |
e78e4ff9-53d1-420b-a191-6a2a39bd9494 | iVBORw0KGgoAAAANSUhEUgAAAcwAAAD/CAYAAAB8QuYxAAAdBklEQVR4nO3dX2xc5ZnH8R/U3ZotdGK0uXCoTf4gLqKZJCVykXD+cbFFSS7iXq3DpvKkFyUki3CXZSO5kZqVWLRZltao2xRumonKEt+sakAJYi+KcWIkOiJrsDfSRk0w4zWulFXsg2ltWNPsxeQMZyYznnfsM3Pec873IyGFZBJOG3t+877P8z7vbTdu3LghAACwpNuDfgAAAMKAwAQAwACBCQCAAQITAAADBCYAAAYITAAADBCYAAAYIDABADBAYAIAYIDABADAAIEJ... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If F K = 3 x - 1, K G = 4 y + 3, J K = 6 y - 2, and K H = 2 x + 3, find y so that the quadrilateral is a parallelogram.\nChoices:\n(A) 1\n(B) 2.5\n(C) 3\n(D)... |
e52584b4-1b4c-4c65-b012-18bbb935f730 | iVBORw0KGgoAAAANSUhEUgAAAO8AAAEnCAYAAABBvBTUAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, Q R \\parallel T S, Q T \\parallel R S, and m \\angle 1 = 131. Find the measure of \\angle 8.\nChoices:\n(A) 101\n(B) 111\n(C) 121\n(D) 131"
... |
0aa79d31-f990-4172-be34-8fe7bccf60e2 | iVBORw0KGgoAAAANSUhEUgAAAMIAAADrCAYAAAA7QknPAAABRWlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDJwMtgzqCRmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisTI9SwQS+usSimc88S9ubyzDVowCulNTiZCD9B4jTkwuKShgYGFOAbOXykgIQuwPIFikCOgrIngNip0PYG0DsJAj7CFhNSJAzkH0DyBZIzkgEmsH4AsjWSUIST0diQ+0FAV4XVx8fhWBXI3NDSw8C7iUZlKRWlIBo5/yC... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x. Round the angle measure to the nearest degree.\nChoices:\n(A) 68\n(B) 72\n(C) 76\n(D) 80"
},
{
"from": "assistant",
"value": "<think>\nOk... |
362ac4a3-2c94-4ae4-b12b-43bfdc7f527d | iVBORw0KGgoAAAANSUhEUgAAAkwAAAGBCAYAAACU+u40AACHFElEQVR4nOzdd5Qc1ZX48W917sk5J41yzjknEDlH25gMNsbG9tq79u5vvbv2Oq6NbTBgwGRMDkKAEkISyjlrcs45dE9PT3dX1e+PHo0ATZI00gTdzzk+x4xqul/1dHfduu+9exVd13WEEEIIIUSXDP09ACGEEEKIgU4CJiGEEEKIHkjAJIQQQgjRAwmYhBBCCCF6IAGTEEIIIUQPJGASQgghhOiBBExCCCGEED2QgEkIIYQQogcSMAkhhBBC9EACJiGEEEKIHkjAJIQQ... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find y so that the quadrilateral is a parallelogram.\nChoices:\n(A) 8\n(B) 9\n(C) 25\n(D) 96"
},
{
"from": "assistant",
"value": "<think>\nTo det... |
a635861b-50d6-45c5-9f16-2eb999d2bd6e | iVBORw0KGgoAAAANSUhEUgAAAUIAAAD1CAYAAAAlFfzlAAA9pklEQVR4nO2deVxUZRfHvyOigLiAIiEo+6agiWuiSYWpaa6VaYtZ2ltqpZm+vlppmWZqm1laaVqpZaapZaWSYYqaC4igyCoqRMi+yOIw3PePAYRhgGEZZoZ5vp+Pn8/gXebMzL2/+zznnOccmSRJEgKBQGDEtNK1AQKBQKBrhBAKBAKjRwihQCAweoQQCgQCo0cIoUAgMHqEEAoEAqNHCKFAIDB6hBAKBAKjRwihQCAweoQQCgQCo6e1rg3QDxSk/bqIobP3oqjXcSNZ... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle G.\nChoices:\n(A) 102\n(B) 107\n(C) 112\n(D) 122"
},
{
"from": "assistant",
"value": "<think>\nOkay, let me try to figure out how ... |
0e2848e4-a128-4448-9984-66af09547752 | iVBORw0KGgoAAAANSUhEUgAAAPoAAADRCAYAAADlh6/IAAAhL0lEQVR4nO3de1xUdf7H8RcC6ShCgkQsmKDgJdHURFth091VUbt417TSLma66uYltdQyW9dfaWVualtieCkvuSWmqXgpTdEUS1MML2BeMCRkVEQHgnF+f+BMAw7IMLcznM/z8ejxKDjgSXjP98z3vM/362EwGAwIIaq1Gq4+ASGE40nQhVABCboQKiBBF0IFJOhCqIAEXQgVkKALoQISdCFUQIIuhApI0IVQAQm6ECogQRdCBSToQqiABF0IFZCgC6ECEnQhVECCLoQK... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Use rhombus X Y Z W with m \\angle W Y Z = 53, V W = 3, X V = 2 a - 2, and Z V = \\frac { 5 a + 1 } { 4 }. Find X Z.\nChoices:\n(A) 2\n(B) 4\n(C) 8\n(D) 16"
... |
c31485c0-0e57-4201-85f2-094ba1e02686 | iVBORw0KGgoAAAANSUhEUgAAAkwAAAHlCAYAAAAHn6N4AACLNElEQVR4nOz951Nce77veb7T4L0X3ggkJIQk5A1CEhIIn4l21XH33nPuPT3T0yY6ZqanJ2YeTcTERMwfMNEzt7tvX3tOn1P3VG1BJh6EF5JAIIdHEt57bzNzzQPY1N61JSGHEvN9RdSDrSLFF5S58pNr/dbnp1IURUEIIYQQQnyQ2toDCCGEEELsdRKYhBBCCCF2IIFJCCGEEGIHEpiEEEIIIXYggUkIIYQQYgcSmIQQQgghdiCBSQghhBBiBxKYhBBCCCF2IIFJCCGE... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: \\triangle A B C is an isosceles triangle with base B C. What is the perimeter of the triangle?\nChoices:\n(A) 5\n(B) 12\n(C) 14\n(D) 40"
},
{
"from"... |
faa351bf-c146-40d8-b1e7-240c15b6fb51 | iVBORw0KGgoAAAANSUhEUgAAASkAAACcCAYAAAAj6V3wAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAOhLoMConJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzFotY9AkXFqv75vflF356eodTPUogCsltTgZSP8B4vTkgqISBgbGFCBbubykAMTuALJFioCOArLngNjpEPYGEDsJwj4CVhMS5Axk3wCyBZIzEoFmML4AsnWSkMTTkdhQe0GA18XVx0ch2NXI3NDSg4B7SQYlqRUlINo5v6Cy... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the perimeter of the triangle. Round to the nearest hundredth.\nChoices:\n(A) 27.31\n(B) 28.52\n(C) 60.34\n(D) 61.55"
},
{
"from": "assistant",
... |
cc6d5451-b4e9-4a6c-a435-f15f9e87d2c4 | iVBORw0KGgoAAAANSUhEUgAAA2wAAAIaCAYAAABcYM45AACxd0lEQVR4nOz9V2Ak1aG3/T5V1d1Sq5VzaGlyznk0owlEkzE4YGNjg01Oxt7v916cc3Euzs353m9vG5OxsY2NAYONMTmHmdHknHNSzrnVsarOhQacYAxMUEv6/y4HSb0kpKp6ulatZbiu6yIiIiIiIiJJxxzsAYiIiIiIiMhnU7CJiIiIiIgkKQWbiIiIiIhIklKwiYiIiIiIJCkFm4iIiIiISJJSsImIiIiIiCQpBZuIiIiIiEiSUrCJiIiIiIgkKQWbiIiIiIhIklKw... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: \\triangle P Q S \\cong \\triangle R Q S. Find y.\nChoices:\n(A) 8\n(B) 12\n(C) 16\n(D) 20"
},
{
"from": "assistant",
"value": "<think>\nOkay, so... |
d79a1758-8fa2-427c-87c3-edc5fee722a8 | iVBORw0KGgoAAAANSUhEUgAAAgkAAAEGCAYAAADv3AawAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, m \\angle 1 = 50 and m \\angle 3 = 60. Find the measure of \\angle 5.\nChoices:\n(A) 50\n(B) 60\n(C) 70\n(D) 80"
},
{
"from": "assista... |
3bfa7159-0a41-4cb7-ac03-310c8f3238d8 | iVBORw0KGgoAAAANSUhEUgAAAW0AAADKCAYAAABubxHAAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaWHgTcSzIoSa0oAdHO+QWV... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the area of the figure. Round to the nearest tenth.\nChoices:\n(A) 75\n(B) 106.1\n(C) 129.9\n(D) 259.8"
},
{
"from": "assistant",
"value": "... |
d7cc6753-9918-484f-99a8-2ceff0286b8b | iVBORw0KGgoAAAANSUhEUgAAAyUAAAEJCAYAAACKZYj7AABZSElEQVR4nO3deUDUdf7H8ScCKgjooCjIoaCgKF545pHmenS4qV1bmtWvtUOzVbsvOzat3cy0bO1uK8tqt9yszEzyKKzU1DxRUEQOEVFGbhSG+f3B4YCAMAwMx+vx13yH73y+Hyxmvq/5fN6fj4PZbDYjIiIiIiJiJy3s3QEREREREWneFEpERERERMSuFEpERERERMSuFEpERERERMSuFEpERERERMSuFEpERERERMSuFEpERERERMSuFEpERERERMSuFEpERERERMSu... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find \\cos A.\nChoices:\n(A) \\frac { \\sqrt { 26 } } { 26 }\n(B) \\frac { 2 \\sqrt { 26 } } { 26 }\n(C) \\frac { 5 \\sqrt { 26 } } { 26 }\n(D) \\frac { 7 \\... |
cc5042f8-40f5-4e5b-ad00-b650143c948e | iVBORw0KGgoAAAANSUhEUgAAAi8AAAD5CAYAAADvLNVfAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEwMVgyqCVmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis3Utj/vW8f8nssnDSwp/ruCwx1aMArpTU4mQg/QeI05MLikoYGBhTgGzl8pICELsDyBYpAjoKyJ4DYqdD2BtA7CQI+whYTUiQM5B9A8gWSM5IBJrB+ALI1klCEk9HYkPtBQFeF1cfH4VgVyNzQ0sPAu4lGZSkVpSAaOf8... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the measure of \\angle 1 if A B \\perp B C.\nChoices:\n(A) 64\n(B) 68\n(C) 72\n(D) 76"
},
{
"from": "assistant",
"value": "<think>\nOkay, so... |
6e00cea3-cca0-4680-945a-dd8e288ce1a1 | iVBORw0KGgoAAAANSUhEUgAAAdEAAADXCAYAAABF7WsyAAAlrklEQVR4nO3deViVZcLH8e8RQUQUUVFRxAVQcA3NtNQio00dcykrM7M0p0bLlmmmGTOn5m2qV8dptGhRx0ozzbS0xXfUinKpLHcMAxEXDBUUEAThcHjeP9CCI5sHzsrvc11dF3ieozfxnPM997OaDMMwEBERkcvWwNkDEBERcVeKqIiIiI0UURERERspoiIiIjZSREVERGykiIqIiNhIERUREbGRIioiImIjRVRERMRGiqiIiIiNFFEREREbKaIiIiI2UkRFRERspIiK... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle T.\nChoices:\n(A) 44\n(B) 46\n(C) 54\n(D) 134"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this problem about a p... |
274c715e-ccd1-4fea-9e16-e3e39f23839b | iVBORw0KGgoAAAANSUhEUgAAAMsAAADMCAYAAADd/leLAAAeuklEQVR4nO2deUCU1frHPzigqIiiAhK4sSkoKihqLqGmaXZLtLSrXS1/2a6lebXtptYt28MiLZcys+xWLtlNbbHSq5ai4IaiLIoKIiAgqCzOjO/vDwQHmBkGmGFm4Pn8pe+cOXOYeb/vOc9zzvkeB0VRFARBqJYm1m6AINgLIhZBMBERiyCYiIhFEExExCIIJiJiEQQTEbEIgomIWATBREQsgmAiIhZBMBERiyCYiIhFEExExCIIJiJiEQQTEbEIgomIWATBREQsgmAi... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Each pair of polygons is similar. Find E D.\nChoices:\n(A) 5\n(B) 6.25\n(C) 10\n(D) 95"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm... |
228f8849-dcaa-42cc-a7f0-4c27ad7c61ed | iVBORw0KGgoAAAANSUhEUgAAANwAAACuCAYAAABdsGNLAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCAKhLwMyonJxQWOAQE+QCUMMBoVfLvGwAiiL+uCzOKK+Han7EqwsuVDi8OzwwVXYqpHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaWHgTcSzIoSa0oAdHO+QWV... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find h.\nChoices:\n(A) 4\n(B) 4 \\sqrt 2\n(C) 4 \\sqrt 3\n(D) 8"
},
{
"from": "assistant",
"value": "To determine the length of \\( h \\) in the ... |
e75416df-4638-4368-86e2-85f199e85590 | iVBORw0KGgoAAAANSUhEUgAAAbEAAAEVCAYAAABuXdtJAAAz7UlEQVR4nO3deUDUdf7H8ScCKYiooBKJgorggeaFlkdaq5lmeXWsdm/Wdpe1um6ndq3pr7W7drVNa7VaV9Nqc1O3sFUz7wNDDhUN80BQEDmE4fv7Y2TkZgaBme/M6/HXyBx8UJzXfL7f9/f99jIMw0BERMSEGjl7ASIiIrWlEBMREdNSiImIiGkpxERExLQUYiIiYloKMRERMS2FmIiImJZCTERETEshJiIipqUQExER01KIiYiIaSnERETEtBRiIiJiWgoxERExLYWY... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: If K H is parallel to J I, find the measure of \\angle 1.\nChoices:\n(A) 23\n(B) 34\n(C) 66\n(D) 67"
},
{
"from": "assistant",
"value": "<think>\... |
37662266-f4de-4b6c-80d0-48af42cfb2cd | iVBORw0KGgoAAAANSUhEUgAAAREAAACxCAYAAADj/4nUAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the area of the triangle. Round to the nearest tenth if necessary.\nChoices:\n(A) 6\n(B) 12\n(C) 13.2\n(D) 24"
},
{
"from": "assistant",
"va... |
78c9f290-dc88-4928-abae-d124d538f033 | iVBORw0KGgoAAAANSUhEUgAAAXsAAAFjCAYAAADcu6v9AABXQ0lEQVR4nO3dZ3xc5b3u/d+aPiONeu+WbdmSXHG3caP3lgRCgDRCQkIKIRByyuc8e599dskOJT2BkBBCCAklQIDQjSvuXdWSi3rv0vRZ63kx8kiykW0Vq8z8v69SbEmINdfcc193UTRN0xBCCBHSdJP9AwghhLj4JOyFECIMSNgLIUQYkLAXQogwIGEvhBBhQMJeCCHCgIS9EEKEAQl7IYQIAxL2QggRBiTshRAiDEjYCyFEGJCwF0KIMCBhL4QQYUDCXgghwoCEvRBC... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find E G.\nChoices:\n(A) 5\n(B) 6.5\n(C) 10\n(D) 13"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to figure out the length of EG ... |
1e593281-0d3c-4f8d-8973-d54542ca77aa | iVBORw0KGgoAAAANSUhEUgAAATUAAAE/CAYAAAAnhFRiAAAge0lEQVR4nO3dX2xUV34H8G+2fhgqssOkciuIxtiY0taaAYeUIDEmdh4aFNCunYdWJiLCrqoNcXYFCU2RiKU4kheJRgRHu3GzVbsYbRT8lnGiJCJSFZtgJILiGDy1VCsGMyODVEuMb4xqP7ilD/a5vjMee+7Y9885534/T/wx3rvBfH1+95zf+T326NGjRyAi0sRP/H4AIiInMdSISCsMNSLSCkONiLTCUCMirTDUiEgrDDUi0gpDjYi0wlAjIq0w1IhIKww1ItIKQ42I... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: The diagonals of rhombus F G H J intersect at K. If m \\angle F J H = 82, find m \\angle K H J.\nChoices:\n(A) 15\n(B) 33\n(C) 49\n(D) 82"
},
{
"from... |
6c8a4c75-2205-482b-98ff-b5d606f6c01d | iVBORw0KGgoAAAANSUhEUgAAAO8AAAEnCAYAAABBvBTUAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In the figure, Q R \\parallel T S, Q T \\parallel R S, and m \\angle 1 = 131. Find the measure of \\angle 7.\nChoices:\n(A) 39\n(B) 49\n(C) 59\n(D) 131"
},... |
25b97b06-40b0-445d-93f2-24f6d649e4f9 | iVBORw0KGgoAAAANSUhEUgAAAcUAAAFSCAYAAACDosR/AAAlhUlEQVR4nO3dTWgc97rn8SeDL8iQpCyDF3ZQW8bhLEL3sYfgWaR17OTuJJFES8koyGcTSSg+eAZ8GxQtFYGOYSY3jkZSNrGIUGt3FRtJu0nso85izJmxTzd3cYmJTje2FwbbdWywYASahbrLVf+qbvVLVdfb9wMBVbtbrril/tX/5Xnqjb29vT0BAADyn/w+AQAAgoJQBACgjFAEAKCMUAQAoIxQBACgjFAEAKCMUAQAoIxQBACgjFAEAKCMUAQAoCwQofjR+Qvybvcp... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle Z.\nChoices:\n(A) 18\n(B) 36\n(C) 72\n(D) 144"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to figure out the meas... |
3f997174-1820-4435-9fc4-0ff9b0282dfb | iVBORw0KGgoAAAANSUhEUgAAAqwAAAEDCAYAAADwYFaWAABMLUlEQVR4nO3deUCU5drH8S8BJYooKIqCiAq4b+RySkvyuLdo+mplm5Wd0tOipWZmZYsds0zTNjt2ss0Wc80yl9xXUNxQFHFDzAUFRGQRcN4/AAWBYWYYmGH4ff5imGeGW8Vnfs/9XPd1OxkMBgMiIiIiInbqJlsPQERERETEGAVWEREREbFrCqwiIiIiYtcUWEVERETErimwioiIiIhdU2AVEREREbumwCoiIiIidk2BVURERETsmgKriIiIiNg1BVYRERERsWsKrCIi... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Each pair of polygons is similar. Find E G.\nChoices:\n(A) 5.675\n(B) 11.25\n(C) 15.525\n(D) 66"
},
{
"from": "assistant",
"value": "<think>\nOka... |
480ebc39-a4e8-482d-a2a4-2cfe7b294dfa | iVBORw0KGgoAAAANSUhEUgAAApoAAAEzCAYAAACR96NEAAApvUlEQVR4nO3d7W+T+Z3v8W+rfdIHjv+AhGhGO9qjUNJud1cx26Sd9ggbEURV4YwmoVMNMRrIiNPgaLiRGMqepTMjAUEJmYO46YkzozJJRtioKksQ9uq0tEnXqXS6p5Os86RSK8f8ATat5uGcB+FnLif2dWP7sq+b90taLQNO4oJvPv79ftfn+6UvvvjiCwEAAACa7MvtvgMAAADwJoImAAAAbEHQBAAAgC0ImgAAALAFQRMAAAC2IGgCAADAFgRNAAAA2IKgCQAAAFsQ... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: What is the value of x in the figure?\nChoices:\n(A) 10\n(B) 12\n(C) 14\n(D) 15"
},
{
"from": "assistant",
"value": "The image shows two intersec... |
8a0fe5de-773e-472c-a8c9-7970d7ff93f4 | iVBORw0KGgoAAAANSUhEUgAAAk8AAAJyCAYAAADdIyQdAADxw0lEQVR4nOz9d3Sc55Xv+X4r5wwUMkCCYM5UIClSJJVlyUmyZDm0Q7vbdrttdzrnzr0z98ycM7PmrHvv9JnObttybLvbQbIl2QpWlphJiRmMAAEix8o5v/ePKhZJCZQIEiAKwP6spT9Mo4pvgYV6f3ie/eytUhRFQQghhBBCXBP1TF+AEEIIIcRsIuFJCCGEEGISJDwJIYQQQkyChCchhBBCiEmQ8CSEEEIIMQkSnoQQQgghJkHCkxBCCCHEJEh4EkIIIYSYBAlPQggh... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: In \\triangle R S T, Z is the centroid and R Z = 18. Find Z V.\nChoices:\n(A) 5\n(B) 9\n(C) 10\n(D) 18"
},
{
"from": "assistant",
"value": "<thin... |
8dff8948-4b8f-494a-8b0b-13eb2b4f199b | iVBORw0KGgoAAAANSUhEUgAAAUIAAAD1CAYAAAAlFfzlAAA9pklEQVR4nO2deVxUZRfHvyOigLiAIiEo+6agiWuiSYWpaa6VaYtZ2ltqpZm+vlppmWZqm1laaVqpZaapZaWSYYqaC4igyCoqRMi+yOIw3PePAYRhgGEZZoZ5vp+Pn8/gXebMzL2/+zznnOccmSRJEgKBQGDEtNK1AQKBQKBrhBAKBAKjRwihQCAweoQQCgQCo0cIoUAgMHqEEAoEAqNHCKFAIDB6hBAKBAKjRwihQCAweoQQCgQCo6e1rg3QDxSk/bqIobP3oqjXcSNZ... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find m \\angle F.\nChoices:\n(A) 102\n(B) 107\n(C) 112\n(D) 122"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figure out t... |
6af6376b-6b44-4607-87be-cb62706031c5 | iVBORw0KGgoAAAANSUhEUgAAA1AAAAHwCAYAAAComI72AAC/F0lEQVR4nOz9Z3Cbd/fmeX4BBoA5JwAkQOWcJUfJOdtyzlmJop//vNjtrdmZ6endmp7tCbtbO73bbZEKluUcZFuW5ZyzbAUr50AABMCcEwASwL6gjOexLcmURAkM16dKVaZMAodB5H3x/p1zDJFIJIKIiIiIiIxukRA9dQf48vXVrHn1Cw61hEhIKWTywrt5/JmHuXGOnYyE07xZoBnXnu/Z/OZGPv5uF+4uM7b5d/LU8qdZfLmD9MQ4DJf+vbloDApQIiIiIiICQCRE... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Solve for x.\nChoices:\n(A) 10\n(B) 15\n(C) 25\n(D) 30"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I have this problem here where I ne... |
4409ab78-c00f-4775-931d-0356938c479b | iVBORw0KGgoAAAANSUhEUgAAATMAAAC7CAYAAAAJzHlfAAAULklEQVR4nO3daXhU5cHG8f+QhCWEIIGAMZFEEsIiiIKglS1VUaBIgBSpFJdWWq1aFS2UV1xwXxBtxQL1ElleipWwCIosom+KgMguS4EhgQBhiYGQBMhClvN+gEQCExIyy5k5c/+uiw+cyZl5mMy5OXlyn/PYDMMwEBHxcXXMHoCIiCsozETEEhRmImIJCjMRsQSFmYgfy84r5MPFu80ehksozET8UEFRCQtWp9N34g/8+T+HzR6OSwSaPQAR8aw1OzKZ8FUaizILzB6K... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find y.\nChoices:\n(A) 12\n(B) 23\n(C) 28\n(D) 43"
},
{
"from": "assistant",
"value": "<think>\nThe image shows a right triangle with a 30-degree... |
1b1cb8be-dab1-48ef-bbf0-cd4e93a6bd59 | iVBORw0KGgoAAAANSUhEUgAAAdIAAAGXCAYAAAAH9dHpAABl2UlEQVR4nO39V3ScaZn/e38r56Scs5yz3c52Z5rUQNNkhvBnYIjN7Nlr7YP34D3aB+96d/oz0DDEAWYIAwM00EDTuduWQzvnJFmxJJVS5ZyefVClkuRsSbYl1fVZi/F0tVxdtlTPr+77ua7rVimKoiCEEEKIWVE/6BcghBBCLGYSpEIIIcQcSJAKIYQQcyBBKoQQQsyBBKkQQggxBxKkQgghxBxIkAohhBBzIEEqhBBCzIEEqRBCCDEHEqRCCCHEHEiQCiGEEHMgQSqE... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find T R.\nChoices:\n(A) 2\n(B) 4\n(C) 5\n(D) 8"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I need to find the length of side TR in tr... |
8b6a80e5-ab12-4175-837f-0046f4c636fb | iVBORw0KGgoAAAANSUhEUgAAAOUAAACsCAYAAACEnmuyAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDGIM6gz2CQmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgs+VNVf877TN/6iLfO3WPuVBNM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find the area of the regular polygon figure. Round to the nearest tenth.\nChoices:\n(A) 27.7\n(B) 55.4\n(C) 166.3\n(D) 332.6"
},
{
"from": "assistant... |
eccdb191-c121-4f24-84c4-fcb85b503ea4 | iVBORw0KGgoAAAANSUhEUgAAAhgAAAHjCAYAAABhOWZXAADKYklEQVR4nOz993db17bg+X43wAQQkQTBnJMCSeVIybZky1EOkmyfcG/Vreqq6tFdv3SP98+8N+p1VXXXq3POPcc525KzROVEUqQYJOYIkCByIMJ+PwCiKInKTKLmZwx72CTCArix98Saa82pqKqqIoQQQgixiDQrPQAhhBBCrD0SYAghhBBi0UmAIYQQQohFJwGGEEIIIRadBBhCCCGEWHQSYAghhBBi0UmAIYQQQohFJwGGEEIIIRadBBhCCCGEWHQSYAghhBBi0UmA... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find \\angle 6.\nChoices:\n(A) 28.5\n(B) 56\n(C) 57\n(D) 123"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to figure out what... |
6776c821-631a-461d-bbf8-cc79a9f4dbe8 | iVBORw0KGgoAAAANSUhEUgAAAXIAAAEYCAYAAABBS301AAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDEIMzAxSCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsA9uA8yrzVXYoh2xTW3I1wAZTPQrgSkktTgbSf4A4PbmgqISBgTEFyFYuLykAsTuAbJEioKOA7DkgdjqEvQHEToKwj4DVhAQ5A9k3gGyB5IxEoBmML4BsnSQk8XQkNtReEOB1cfXxUQh2NTI3tPQg4F6SQUlqRQmIds4v... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find y if A D is an altitude of \\triangle A B C.\nChoices:\n(A) 42\n(B) 44\n(C) 46\n(D) 48"
},
{
"from": "assistant",
"value": "<think>\nThe ima... |
9eaf0570-3122-4698-86f9-56e2906c18b0 | iVBORw0KGgoAAAANSUhEUgAAATEAAADpCAYAAABMfwCeAAABRGlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDKwAsU5k1MLi5wDAjwAbIZYDQq+HaNgRFEX9YFmbVAbnaWs/RxzxLtqZoM544XY6pHAVwpqcXJQPoPEKcnFxSVMDAwpgDZyuUlBSB2B5AtUgR0FJA9B8ROh7A3gNhJEPYRsJqQIGcg+waQLZCckQg0g/EFkK2ThCSejsSG2gsCvC6uPj4Kwa5G5oaWHgTcSzIoSa0oAdHO+QWV... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x. Assume that segments that appear to be tangent are tangent.\nChoices:\n(A) 14\n(B) 21\n(C) 28\n(D) 35"
},
{
"from": "assistant",
"value":... |
c4fff2bb-9424-41a4-acd2-ff51c0e1a635 | iVBORw0KGgoAAAANSUhEUgAAASgAAAEeCAYAAAA5JIipAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDAIMygwMCcmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsgsvtePDO5HT+F5/1nLJXJfz25M9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/... | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.\nQuestion: Find x so that m \\parallel n.\nChoices:\n(A) 14\n(B) 21.6\n(C) 28\n(D) 35"
},
{
"from": "assistant",
"value": "<think>\nOkay, so I'm trying to f... |