id string | image image | conversations list | regions string | image_size list | num_tokens int64 |
|---|---|---|---|---|---|
7604 | [
{
"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: As shown in the figure, in the parallelogram ABCD, it is known that AC and BD intersect at point O, the sum of the two diagonals is 20.0, and the length of C... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[4,0,108,66],"<|obj3|>":[84,4,108,28],"<|obj4|>":[45,0,111,67],"<|obj5|>":[65,9,108,75],"<|obj6|>":[4,9,94,56],"<|obj7|>":[9,4,111,75],"<|obj8|>":[42,51,84,83],"<|obj9|>":[28,4,108,28]} | [
112,
84
] | 2,288 | |
1514 | [
{
"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 ABC, if DE is parallel to BC and AD/AB = 2/6, and BC = 24 cm, what is the length of DE?\nChoices:\nA: 24.0\nB: 12.0\nC: 8.0\nD: 6.0.\nPlease answ... | {"<|obj1|>":[4,9,84,103],"<|obj2|>":[28,28,94,47]} | [
112,
112
] | 1,271 | |
21 | [
{
"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: Considering the diagram where AB is parallel to CD and angle A measures 110 degrees, what is the degree measure of angle 1?\nChoices:\nA: 110°\nB: 100°\nC: 8... | {"<|obj1|>":[0,0,167,111],"<|obj2|>":[0,0,154,105],"<|obj3|>":[42,0,147,98]} | [
168,
112
] | 1,641 | |
883 | [
{
"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 provided diagram, consider AB as the diameter of circle O. Let's denote the measure of angle AOC as variable u (u = 130.0 degrees). What is the degree... | {"<|obj1|>":[0,41,41,101],"<|obj2|>":[11,11,41,89],"<|obj3|>":[17,0,139,106],"<|obj4|>":[52,0,139,101],"<|obj5|>":[0,11,139,111],"<|obj6|>":[11,23,139,111],"<|obj7|>":[64,47,129,111],"<|obj8|>":[75,0,117,101],"<|obj9|>":[11,26,82,97]} | [
140,
112
] | 2,023 | |
748 | [
{
"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 given diagram, consider AB as the tangent line to circle O with A as the point of tangency. If the measure of central angle AOB is represented by the ... | {"<|obj1|>":[70,19,210,160],"<|obj2|>":[128,59,210,132],"<|obj3|>":[23,0,257,156],"<|obj4|>":[23,0,279,167],"<|obj5|>":[0,0,279,167]} | [
280,
168
] | 2,272 | |
819 | [
{
"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 ABC, with angle A measuring 80 degrees and point O being the incenter, what is the size of angle BOC?\nChoices:\nA: 100°\nB: 160°\nC: 80°\nD: 130... | {"<|obj1|>":[18,0,223,111],"<|obj2|>":[45,0,223,111],"<|obj3|>":[37,46,131,111],"<|obj4|>":[9,0,223,111],"<|obj5|>":[112,0,223,111],"<|obj6|>":[56,0,223,66],"<|obj7|>":[18,0,223,111],"<|obj8|>":[28,0,223,111],"<|obj9|>":[65,0,223,111]} | [
224,
112
] | 3,242 | |
1691 | [
{
"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: Let O be a circle with points A, B, and C located on it. If the measure of angle AOB is represented as 'm' units (m = 110.0), what is the value of angle ACB?... | {"<|obj1|>":[0,0,108,80],"<|obj2|>":[42,32,61,56],"<|obj3|>":[0,56,24,89],"<|obj4|>":[88,65,103,84],"<|obj5|>":[32,88,47,98],"<|obj6|>":[9,14,103,98],"<|obj7|>":[9,4,108,108],"<|obj8|>":[42,32,61,56],"<|obj9|>":[42,32,61,56],"<|obj10|>":[42,28,98,84]} | [
112,
112
] | 2,681 | |
398 | [
{
"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 given figure where line a and line b are intersected by line c, and line a is parallel to line b, what is the degree measure of angle 2 if angle 1 mea... | {"<|obj1|>":[0,0,139,101],"<|obj2|>":[5,5,117,111],"<|obj3|>":[11,0,47,111]} | [
140,
112
] | 1,928 | |
2051 | [
{
"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: As shown in the figure, in the isosceles triangle ABC, AB = AC, BD bisects angle ABC, angle A = 36.0, then the degree of angle BDC is ()\nChoices:\nA: 36°\nB... | {"<|obj1|>":[0,0,83,139],"<|obj2|>":[5,0,66,139],"<|obj3|>":[9,58,80,129],"<|obj4|>":[0,5,83,139]} | [
84,
140
] | 1,521 | |
539 | [
{
"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 the lateral surface of a cone is expanded to form a sector with a radius of 4.0 and a central angle of 90 degrees, what is the circumference of the cone's... | {"<|obj1|>":[56,0,223,84],"<|obj2|>":[0,0,223,111]} | [
224,
112
] | 2,018 | |
432 | [
{
"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 given diagram of triangle ABC, points D and E are located on sides AB and AC respectively. It is known that DE is parallel to BC. If AD measures 2.0 u... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[4,51,103,80],"<|obj3|>":[4,84,14,98],"<|obj4|>":[23,0,98,70],"<|obj5|>":[0,51,33,108]} | [
112,
112
] | 1,717 | |
4597 | [
{
"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: According to the diagram, points A, B, and C are three points on the circle O. If angle AOB is 76°, then the degree of angle C is ().\nChoices:\nA: 24°\nB: 3... | {"<|obj1|>":[0,0,139,139],"<|obj2|>":[40,5,65,30],"<|obj3|>":[0,58,30,129],"<|obj4|>":[105,81,129,105],"<|obj5|>":[40,0,123,105]} | [
140,
140
] | 2,186 | |
577 | [
{
"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: Given the figure, point P lies outside circle O. The tangents PA and PB are drawn from point P to circle O at points A and B, respectively. If the length of ... | {"<|obj1|>":[0,0,82,83],"<|obj2|>":[155,49,188,91],"<|obj3|>":[106,24,188,124],"<|obj4|>":[106,16,195,132],"<|obj5|>":[81,8,147,66],"<|obj6|>":[8,0,195,139],"<|obj7|>":[49,0,147,58],"<|obj8|>":[0,0,195,139],"<|obj9|>":[106,8,172,139],"<|obj10|>":[0,0,195,139],"<|obj11|>":[81,0,195,139]} | [
196,
140
] | 3,209 | |
82 | [
{
"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 parallelogram ABCD, given that BC is 40 units long, AC is 32 units long, and BD is 56 units long, what is the perimeter of triangle AOD?\nChoices:\nA: 64.... | {"<|obj1|>":[0,0,251,111],"<|obj2|>":[0,71,74,111],"<|obj3|>":[42,0,242,111],"<|obj4|>":[10,0,242,102],"<|obj5|>":[21,0,251,92],"<|obj6|>":[63,10,126,72],"<|obj7|>":[10,30,126,102],"<|obj8|>":[63,0,251,92],"<|obj9|>":[0,0,251,92]} | [
252,
112
] | 2,943 | |
1855 | [
{
"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 given figure, if angle AOB is represented by the variable 'x' (x = 70.0), what is the measure of angle ACB? Express the angle as 'y' in terms of 'x'.\... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[23,0,111,111],"<|obj3|>":[23,9,111,111],"<|obj4|>":[0,4,111,111]} | [
112,
112
] | 1,803 | |
1467 | [
{
"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 total perimeter of the quadrilateral ABCD given that AD = 3cm and AB = 2cm as depicted in the figure?\nChoices:\nA: 10cm\nB: 6cm\nC: 5cm\nD: 4cm.... | {"<|obj1|>":[7,0,167,83],"<|obj2|>":[49,7,167,83],"<|obj3|>":[0,42,112,83],"<|obj4|>":[98,63,112,83],"<|obj5|>":[98,63,119,83]} | [
168,
84
] | 1,223 | |
1520 | [
{
"from": "human",
"value": "<image>\nHint: Please answer the question and provide the final answer at the end.\nQuestion: Recount the details depicted in the figure..\nPlease answer the question using a long-chain reasoning style and think step by step."
},
{
"from": "gpt",
"value": "So I've go... | {"<|obj1|>":[28,23,80,83],"<|obj2|>":[0,8,67,76],"<|obj3|>":[0,60,24,80],"<|obj4|>":[88,46,108,80],"<|obj5|>":[60,0,75,14],"<|obj6|>":[0,60,98,80],"<|obj7|>":[88,51,103,80],"<|obj8|>":[84,42,108,80],"<|obj9|>":[22,0,111,83],"<|obj10|>":[0,0,111,83],"<|obj11|>":[0,0,111,83],"<|obj12|>":[84,0,108,80],"<|obj13|>":[32,0,11... | [
112,
84
] | 1,476 | |
1334 | [
{
"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 ABC is shown in the figure with midpoints D, E, and F on its sides. By connecting DE, EF, and FD, triangle DEF is formed. If the perimeter of triang... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[11,0,129,83],"<|obj3|>":[35,29,76,72],"<|obj4|>":[52,65,76,83],"<|obj5|>":[99,23,135,54]} | [
140,
84
] | 1,289 | |
1939 | [
{
"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 provided figure, angle AOB is identified as the central angle of circle O, with a measurement of 60.0 degrees. What is the measure of the circumferenc... | {"<|obj1|>":[14,0,147,147],"<|obj2|>":[14,0,154,154],"<|obj3|>":[0,35,154,70],"<|obj4|>":[14,0,147,147]} | [
168,
168
] | 2,071 | |
1501 | [
{
"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 given figure, a conical chimney cap is made from a sector iron sheet with a central angle of 270 degrees. The diameter of the bottom circle of the con... | {"<|obj1|>":[157,10,231,92],"<|obj2|>":[0,0,147,111]} | [
252,
112
] | 2,452 | |
118 | [
{
"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 given diagram, circle A has a radius of 5.0 units. Chords BC and ED have central angles BAC and EAD, respectively. If DE measures 6.0 units and the su... | {"<|obj1|>":[4,4,108,103],"<|obj2|>":[28,32,70,70],"<|obj3|>":[9,88,33,111],"<|obj4|>":[4,37,111,108],"<|obj5|>":[23,4,111,103],"<|obj6|>":[14,14,98,108]} | [
112,
112
] | 2,602 | |
864 | [
{
"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: Let triangle ABC be inscribed in circle O, as illustrated in the figure. Connecting points OA and OB, if angle ABO is equal to 40 degrees, what is the measur... | {"<|obj1|>":[9,0,111,111],"<|obj2|>":[9,4,111,111],"<|obj3|>":[4,9,103,103],"<|obj4|>":[28,4,111,98]} | [
112,
112
] | 1,748 | |
1742 | [
{
"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 in the provided figure line c intersects both lines a and b, where a is parallel to b, and angle 1 is 60 degrees, what would be the degree measure of angl... | {"<|obj1|>":[4,32,111,47],"<|obj2|>":[14,74,98,111],"<|obj3|>":[18,4,47,33],"<|obj4|>":[32,0,111,111],"<|obj5|>":[46,4,111,111]} | [
112,
112
] | 4,115 | |
511 | [
{
"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 ABC, D, E, and F are the midpoints of sides BC, AC, and AB respectively, AH is perpendicular to BC at H, and HE = 16. What is the length of DF?\n... | {"<|obj1|>":[8,0,195,111],"<|obj2|>":[73,79,107,111],"<|obj3|>":[114,0,188,96],"<|obj4|>":[49,31,115,96],"<|obj5|>":[114,0,156,32],"<|obj6|>":[114,87,147,111],"<|obj7|>":[114,39,188,111],"<|obj8|>":[73,39,107,111]} | [
196,
112
] | 2,554 | |
110 | [
{
"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: As shown in the figure, AB is the chord of circle O, and point C is on the circle. It is known that angle AOB = 100.0, then angle C = ()\nChoices:\nA: 40°\nB... | {"<|obj1|>":[4,0,98,47],"<|obj2|>":[14,9,98,83],"<|obj3|>":[88,14,111,38]} | [
112,
84
] | 1,368 | |
259 | [
{
"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 provided diagram, we have rhombus ABCD with point E as the midpoint of edge AB. The segment EF is also parallel to BC and intersects diagonal AC at po... | {"<|obj1|>":[0,0,195,83],"<|obj2|>":[16,0,74,83],"<|obj3|>":[32,8,123,59],"<|obj4|>":[89,25,123,68],"<|obj5|>":[0,0,195,83],"<|obj6|>":[24,0,164,68],"<|obj7|>":[8,8,107,83]} | [
196,
84
] | 4,652 | |
1737 | [
{
"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: Given that AB is the diameter of circle O and points C and D are on the circle, and angle BCD measures 44°, what is the degree of angle ABD, as shown in the ... | {"<|obj1|>":[0,33,101,135],"<|obj2|>":[0,63,161,154],"<|obj3|>":[63,126,91,167],"<|obj4|>":[98,0,126,35],"<|obj5|>":[21,0,167,140],"<|obj6|>":[42,0,167,167],"<|obj7|>":[42,0,167,167],"<|obj8|>":[42,0,167,167],"<|obj9|>":[20,13,155,148],"<|obj10|>":[14,0,167,167],"<|obj11|>":[0,0,167,167],"<|obj12|>":[0,7,84,91]} | [
168,
168
] | 3,232 | |
1043 | [
{
"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 the measure of angle AOB in the provided figure is 150.0 degrees and angle AOC is equal to angle BOD, both measuring 90.0 degrees, what is the degree meas... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[0,17,41,60],"<|obj3|>":[122,59,135,78],"<|obj4|>":[0,0,100,72],"<|obj5|>":[64,17,105,60]} | [
140,
84
] | 1,498 | |
899 | [
{
"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: As shown in the figure, point O is a point in triangle ABC, OA = OB = OC, and angle ABO = 40.0, then the size of angle ACB is ()\nChoices:\nA: 40°\nB: 50°\nC... | {"<|obj1|>":[7,0,167,161],"<|obj2|>":[42,70,77,91],"<|obj3|>":[14,0,147,154],"<|obj4|>":[35,0,167,161],"<|obj5|>":[14,0,167,161],"<|obj6|>":[35,0,167,161],"<|obj7|>":[14,0,167,167]} | [
168,
168
] | 3,278 | |
1286 | [
{
"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: Given the diagram showing triangle ABC, where points D, E, and F are the midpoints of BC, AD, and BE respectively, and with the area of triangle ABC equal to... | {"<|obj1|>":[7,0,167,111],"<|obj2|>":[70,84,84,105],"<|obj3|>":[56,0,91,56],"<|obj4|>":[7,56,56,98],"<|obj5|>":[42,0,167,111],"<|obj6|>":[7,0,167,105],"<|obj7|>":[42,0,167,105],"<|obj8|>":[14,0,161,111]} | [
168,
112
] | 3,131 | |
234 | [
{
"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: As shown in the figure, line AB and CD intersect at point O. It is known that angle AOD = 140°. The size of angle BOC is ()\nChoices:\nA: 20°\nB: 40°\nC: 70°... | {"<|obj1|>":[75,23,139,78],"<|obj2|>":[105,5,135,78],"<|obj3|>":[35,0,139,83],"<|obj4|>":[35,5,123,83],"<|obj5|>":[29,0,139,83],"<|obj6|>":[35,5,123,83],"<|obj7|>":[29,0,135,83]} | [
140,
84
] | 3,788 | |
460 | [
{
"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: Given that AB is parallel to CD and angle 1 measures 140° in the figure, can you determine the measure of angle D?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°.... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[0,32,111,56],"<|obj3|>":[0,60,108,80],"<|obj4|>":[28,0,98,70]} | [
112,
84
] | 2,319 | |
1238 | [
{
"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: As shown in the figure, in order to measure the distance between points B and C on an irregular green area, we can select point A on one side of the green ar... | {"<|obj1|>":[64,0,139,83],"<|obj2|>":[0,35,18,54],"<|obj3|>":[70,0,88,30],"<|obj4|>":[99,65,123,78],"<|obj5|>":[0,0,70,83],"<|obj6|>":[52,53,70,66],"<|obj7|>":[0,5,70,83]} | [
140,
84
] | 2,251 | |
937 | [
{
"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: Let triangle ABC be a right-angled triangle with angle C equal to 90.0 degrees. If the length of side AB is represented as 'x' units (x = 3.0) and the length... | {"<|obj1|>":[11,0,111,83],"<|obj2|>":[32,4,89,61],"<|obj3|>":[0,0,56,83],"<|obj4|>":[46,4,108,83]} | [
112,
84
] | 2,133 | |
20 | [
{
"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 a picture, Xiaofang and her father are walking. Her father's height is 3.6 units, and his shadow on the ground is 4.2 units. If Xiaofang is 0.6 units shor... | {"<|obj1|>":[0,35,167,126],"<|obj2|>":[0,105,91,139],"<|obj3|>":[0,105,105,139],"<|obj4|>":[0,0,167,139],"<|obj5|>":[0,0,167,139]} | [
168,
140
] | 2,031 | |
737 | [
{
"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: As shown in the figure, it is known that AD is the angular bisector of triangle ABC, DE parallel AB crosses AC to E, if frac {AE}{EC} = frac {3.0}{5.0}, the... | {"<|obj1|>":[4,9,47,80],"<|obj2|>":[18,4,52,75],"<|obj3|>":[42,23,66,70],"<|obj4|>":[23,4,66,52],"<|obj5|>":[51,23,61,42],"<|obj6|>":[0,42,52,83],"<|obj7|>":[28,65,108,80]} | [
112,
84
] | 1,990 | |
1252 | [
{
"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 measure of angle A in parallelogram ABCD if angle DCE is 132° and point E lies on the extension of segment BC?\nChoices:\nA: 38°\nB: 48°\nC: 58°\... | {"<|obj1|>":[0,0,195,111],"<|obj2|>":[57,0,195,111]} | [
196,
112
] | 2,301 | |
1971 | [
{
"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: Provided in the figure is a parallel configuration of line AB and line CD. With angle 1 measured at 70.0 degrees, what is the degree measurement of angle BOF... | {"<|obj1|>":[84,32,108,47],"<|obj2|>":[0,56,56,111],"<|obj3|>":[18,0,108,111],"<|obj4|>":[37,0,111,108],"<|obj5|>":[37,0,94,56],"<|obj6|>":[84,32,108,47],"<|obj7|>":[23,84,42,111],"<|obj8|>":[4,0,111,111],"<|obj9|>":[60,0,89,28]} | [
112,
112
] | 3,590 | |
488 | [
{
"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 provided figure, a right-angled triangle has the sides of squares M and N as one of its legs and the hypotenuse respectively. The areas of the squares... | {"<|obj1|>":[89,4,188,103],"<|obj2|>":[0,0,195,139],"<|obj3|>":[98,0,195,139]} | [
196,
140
] | 1,739 | |
916 | [
{
"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: At the cliff top A above sea level 200.0, observe a boat B on sea level, and measure its depression angle as 45.0, then the horizontal distance between the s... | {"<|obj1|>":[29,5,94,36],"<|obj2|>":[0,70,47,106],"<|obj3|>":[105,29,139,101]} | [
140,
112
] | 1,330 | |
922 | [
{
"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 diamond ABCD, the two diagonal AC = 12.0, BD = 16.0, then the side length of this diamond is ()\nChoices:\nA: 10.0\nB: 12.0\nC: 16.0\nD: 20.0.\nPlease... | {"<|obj1|>":[11,0,129,101],"<|obj2|>":[11,5,129,59],"<|obj3|>":[11,5,129,65],"<|obj4|>":[58,0,82,18],"<|obj5|>":[11,0,117,101],"<|obj6|>":[11,0,135,101]} | [
140,
112
] | 2,898 | |
1419 | [
{
"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 lateral surface of a cone-shaped paper cup has been expanded in a figure, and it is provided that the bottom surface has a radius of 5.0 and the generatr... | {"<|obj1|>":[0,0,111,167],"<|obj2|>":[14,0,84,84],"<|obj3|>":[14,0,111,161]} | [
112,
168
] | 1,915 | |
1479 | [
{
"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: Calculate the degree measure of angle B in triangle ABC given that the exterior angle DCA measures 110° and angle A measures 75°.\nChoices:\nA: 70°\nB: 40°\n... | {"<|obj1|>":[63,0,221,119],"<|obj2|>":[21,0,251,139]} | [
252,
140
] | 1,712 | |
136 | [
{
"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 provided diagram, line segment a is parallel to line segment b, and angle 1 is measured at 52 degrees. What is the degree measure of angle 2?\nChoices... | {"<|obj1|>":[98,4,195,103],"<|obj2|>":[122,90,188,139],"<|obj3|>":[24,49,58,75],"<|obj4|>":[24,0,188,58],"<|obj5|>":[0,82,147,139]} | [
196,
140
] | 2,267 | |
1637 | [
{
"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 given figure, AB and CD represent the diameters of circle O, and DF and BE are chords. If arc DF equals arc BE and angle B measures 50.0 degrees, what... | {"<|obj1|>":[0,4,89,103],"<|obj2|>":[14,0,103,111],"<|obj3|>":[28,84,94,103],"<|obj4|>":[23,84,42,111],"<|obj5|>":[0,42,94,111],"<|obj6|>":[28,18,111,108],"<|obj7|>":[0,28,56,84],"<|obj8|>":[98,23,108,52],"<|obj9|>":[37,0,108,111],"<|obj10|>":[23,0,111,111]} | [
112,
112
] | 2,535 | |
681 | [
{
"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: Refer to the figure provided, illustrating a large parasol. When the umbrella surface of this parasol is extended, it can be roughly considered as a cone. Th... | {"<|obj1|>":[0,0,139,106],"<|obj2|>":[58,0,129,42]} | [
140,
112
] | 1,615 | |
339 | [
{
"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 ABC, let's denote angle C as variable 'u' where u = 90°. Given that AC = 4 and BC = 2, a square is constructed outside the triangle with AB as on... | {"<|obj1|>":[18,23,75,80],"<|obj2|>":[41,0,109,67]} | [
112,
112
] | 1,271 | |
310 | [
{
"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 section of a drainage pipe shown in the figure, given that the radius of the drainage pipe OB is 40.0 and the water surface width AB is 64.0, what is ... | {"<|obj1|>":[0,0,56,56],"<|obj2|>":[32,23,89,80],"<|obj3|>":[0,9,111,111],"<|obj4|>":[51,46,66,70]} | [
112,
112
] | 3,644 | |
1441 | [
{
"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 the diagram displays triangle ABC, where O is the circumcircle and AB is the diameter, and if OC is equal to AC, with both values being 5 units, then what... | {"<|obj1|>":[0,4,111,111],"<|obj2|>":[60,0,111,94],"<|obj3|>":[0,23,19,66],"<|obj4|>":[37,32,66,61],"<|obj5|>":[9,28,111,111],"<|obj6|>":[23,14,94,111],"<|obj7|>":[65,14,98,94]} | [
112,
112
] | 3,442 | |
1034 | [
{
"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 triangle ABC, point D lies on the edge AB, and the parallel line DE to BC intersects AC at point E. If the ratio of AD to DB is 2.0 to 3.0 and AE meas... | {"<|obj1|>":[4,4,98,108],"<|obj2|>":[4,4,103,108],"<|obj3|>":[0,0,111,111],"<|obj4|>":[42,32,108,61],"<|obj5|>":[14,88,28,103],"<|obj6|>":[88,42,108,61],"<|obj7|>":[79,4,111,108]} | [
112,
112
] | 1,826 | |
1162 | [
{
"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: Illustrated in the diagram, triangle ABC has AD as its median, triangle ACD has CE as its median, and triangle CDE has DF as its median. If the area of trian... | {"<|obj1|>":[11,5,129,83],"<|obj2|>":[17,8,88,80],"<|obj3|>":[11,0,139,111],"<|obj4|>":[52,29,123,101],"<|obj5|>":[52,23,139,101],"<|obj6|>":[64,58,129,101],"<|obj7|>":[52,41,123,101]} | [
140,
112
] | 4,017 | |
1678 | [
{
"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 given diagram, point C lies on the circle O. If angle AOB measures 40.0 degrees, find the measure of angle C. Express the measure of angle C as θ.\nCh... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[9,4,108,98],"<|obj3|>":[74,14,108,108]} | [
112,
112
] | 2,666 | |
1061 | [
{
"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 length of AD in the diagram where points D and E lie on AB and AC, respectively, with DE being parallel to BC, AE/CE = 3, and BD = 2?\nChoices:\n... | {"<|obj1|>":[18,0,94,66],"<|obj2|>":[14,0,98,103],"<|obj3|>":[88,60,98,84],"<|obj4|>":[18,60,103,84],"<|obj5|>":[88,60,98,84],"<|obj6|>":[18,4,98,80],"<|obj7|>":[0,0,98,108],"<|obj8|>":[14,84,28,103]} | [
112,
112
] | 1,538 | |
982 | [
{
"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: As shown in the figure, semicircle O has AB as its diameter and point D is positioned at the midpoint of arc AC. If angle BAC is measured at 40.0 degrees, wh... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[0,42,161,83],"<|obj3|>":[70,0,133,42],"<|obj4|>":[0,0,119,70],"<|obj5|>":[14,14,161,63],"<|obj6|>":[49,0,98,14],"<|obj7|>":[70,0,161,56],"<|obj8|>":[0,0,98,49],"<|obj9|>":[49,0,98,14],"<|obj10|>":[7,7,147,70]} | [
168,
84
] | 1,991 | |
926 | [
{
"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: As shown in the figure, in rectangle ABCD, diagonal AC and BD intersect at point O. If angle BOC = 120° and AC = 8, the length of AB is ().\nChoices:\nA: 6\n... | {"<|obj1|>":[5,5,129,83],"<|obj2|>":[11,5,129,78],"<|obj3|>":[11,5,129,83],"<|obj4|>":[58,17,82,42],"<|obj5|>":[0,53,35,78],"<|obj6|>":[11,59,139,83]} | [
140,
84
] | 2,247 | |
180 | [
{
"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 a diamond ABCD, the diagonals AC and BD intersect at point O, and E is the midpoint of DC. If the perimeter of the diamond is 32, what is the length of OE... | {"<|obj1|>":[0,0,139,78],"<|obj2|>":[40,0,65,30],"<|obj3|>":[0,53,30,83],"<|obj4|>":[64,65,76,83],"<|obj5|>":[116,0,135,12],"<|obj6|>":[11,5,135,72],"<|obj7|>":[0,0,139,78],"<|obj8|>":[52,0,111,60],"<|obj9|>":[64,0,135,78],"<|obj10|>":[81,35,111,54],"<|obj11|>":[75,29,111,54]} | [
140,
84
] | 3,165 | |
553 | [
{
"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: As shown in the figure, in triangle ABC, points D and E are respectively the midpoints of sides AB and BC. If the perimeter of triangle DBE is 6, then the pe... | {"<|obj1|>":[7,7,167,55],"<|obj2|>":[42,7,167,55],"<|obj3|>":[63,35,98,55],"<|obj4|>":[98,7,112,28],"<|obj5|>":[63,7,167,55],"<|obj6|>":[0,0,77,55]} | [
168,
56
] | 1,948 | |
1331 | [
{
"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 provided figure, angle 1 is measured at 50 degrees. What is the degree of angle 2?\nChoices:\nA: 100°\nB: 120°\nC: 130°\nD: 140°.\nPlease answer the q... | {"<|obj1|>":[0,0,111,83],"<|obj2|>":[0,0,111,83]} | [
112,
84
] | 2,267 | |
147 | [
{
"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 given square ABCD with a side length of 4.0, point P lies on side CD, and CP is equal to 3.0. If Q is the midpoint of BP, and QM is perpendicular to P... | {"<|obj1|>":[0,0,111,139],"<|obj2|>":[82,40,101,53],"<|obj3|>":[47,35,111,59],"<|obj4|>":[35,64,71,105],"<|obj5|>":[0,11,77,117],"<|obj6|>":[0,0,106,139],"<|obj7|>":[11,11,77,111]} | [
112,
140
] | 2,385 | |
1304 | [
{
"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 given, line a is parallel to line b, and line b is parallel to line c. The right-angle vertex of a right-angled triangle rests on line b. If an... | {"<|obj1|>":[133,21,167,42],"<|obj2|>":[0,49,161,77],"<|obj3|>":[140,84,161,105],"<|obj4|>":[14,0,154,111],"<|obj5|>":[0,0,167,111],"<|obj6|>":[0,0,167,111]} | [
168,
112
] | 3,653 | |
1717 | [
{
"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 in rectangle ABCD the diagonals AC and BD intersect at point O, and point E is the midpoint of side BC, and the measure of angle OCB is 30°, what is the l... | {"<|obj1|>":[0,4,14,70],"<|obj2|>":[4,4,108,75],"<|obj3|>":[9,4,103,61],"<|obj4|>":[0,60,98,83]} | [
112,
84
] | 3,141 | |
914 | [
{
"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 it is known that angle BOC is equal to 100.0 degrees in the given figure, what is the measure of angle A?\nChoices:\nA: 50°\nB: 80°\nC: 100°\nD: 130°.\nPl... | {"<|obj1|>":[0,4,111,111],"<|obj2|>":[51,14,66,24],"<|obj3|>":[0,70,24,98],"<|obj4|>":[88,74,103,84],"<|obj5|>":[42,46,61,70],"<|obj6|>":[9,0,103,111],"<|obj7|>":[0,14,108,111],"<|obj8|>":[9,14,103,111],"<|obj9|>":[9,4,111,111]} | [
112,
112
] | 1,758 | |
4586 | [
{
"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: As shown in the diagram, PA and PB are tangent to circle O at points A and B respectively. Angle P is 72 degrees. Then the degree of angle C is ().\nChoices:... | {"<|obj1|>":[93,9,206,131],"<|obj2|>":[102,65,159,103],"<|obj3|>":[56,9,122,56],"<|obj4|>":[56,56,196,167],"<|obj5|>":[0,56,47,84],"<|obj6|>":[177,56,215,94],"<|obj7|>":[56,0,196,150],"<|obj8|>":[56,37,187,167]} | [
224,
168
] | 2,877 | |
141 | [
{
"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 provided diagram, if angle BOC is 100 degrees and points A, B, and C are all on circle O, what is the measure of angle BAC?\nChoices:\nA: 70°\nB: 60°\... | {"<|obj1|>":[7,0,55,54],"<|obj2|>":[4,2,52,52],"<|obj3|>":[8,8,43,43],"<|obj4|>":[16,4,49,52]} | [
56,
56
] | 1,178 | |
522 | [
{
"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 given diagram, the line segments AI, BI, and CI bisect angles BAC, ABC, and ACB, respectively. Additionally, ID is perpendicular to BC. If the perimet... | {"<|obj1|>":[0,0,251,167],"<|obj2|>":[147,0,189,42],"<|obj3|>":[21,126,53,158],"<|obj4|>":[210,115,242,158],"<|obj5|>":[10,0,210,137],"<|obj6|>":[10,0,251,137],"<|obj7|>":[51,0,251,167],"<|obj8|>":[126,73,168,116],"<|obj9|>":[115,63,179,167],"<|obj10|>":[21,126,53,158]} | [
252,
168
] | 2,646 | |
1603 | [
{
"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: Given the representation of circle O with AB as its diameter and point C located on the circle, if the measure of angle ABC is 55.0 degrees, what is the meas... | {"<|obj1|>":[11,0,129,53],"<|obj2|>":[52,64,135,135],"<|obj3|>":[75,0,117,35]} | [
140,
140
] | 879 | |
1714 | [
{
"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: Given the rectangle ABCD in the diagram, where AB measures 24 units and BC measures 25 units, if an arc is drawn centered at point B with BC as the radius, a... | {"<|obj1|>":[5,17,35,129],"<|obj2|>":[5,0,123,123],"<|obj3|>":[40,0,135,135],"<|obj4|>":[58,17,135,135]} | [
140,
140
] | 1,809 | |
947 | [
{
"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 ABC, AD is the median, E is a point on AD such that AE = 1/4 * AD, and the extension of BE intersects AC at F. What is the value of AF/AC express... | {"<|obj1|>":[0,0,139,139],"<|obj2|>":[0,0,135,139],"<|obj3|>":[5,99,65,139],"<|obj4|>":[58,110,82,139],"<|obj5|>":[40,17,76,129],"<|obj6|>":[0,0,117,139],"<|obj7|>":[40,17,88,76]} | [
140,
140
] | 4,629 | |
829 | [
{
"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 given figure, let's denote angle A as variable x where x = 32.0 degrees. If AB is the diameter of circle O and arc BC is congruent to arc BD, what is ... | {"<|obj1|>":[9,4,103,89],"<|obj2|>":[9,4,108,111],"<|obj3|>":[18,42,111,108],"<|obj4|>":[9,4,103,108],"<|obj5|>":[42,0,89,28],"<|obj6|>":[51,4,108,61]} | [
112,
112
] | 1,877 | |
312 | [
{
"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 provided figure, with points A, B, and C located on circle O and the degree of arc ACB measuring 300 degrees, what is the measure of angle C?\nChoices... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[4,9,98,47],"<|obj3|>":[9,4,111,111],"<|obj4|>":[37,9,108,111],"<|obj5|>":[0,0,111,108]} | [
112,
112
] | 2,602 | |
1472 | [
{
"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: Given the figure, AB is parallel to CD and angle 1 is 56°, the degree of angle 2 is ()\nChoices:\nA: 134°\nB: 128°\nC: 124°\nD: 114°.\nPlease answer the ques... | {"<|obj1|>":[16,24,195,132],"<|obj2|>":[147,82,188,116],"<|obj3|>":[24,0,188,139],"<|obj4|>":[16,0,172,139],"<|obj5|>":[24,0,172,139]} | [
196,
140
] | 3,531 | |
818 | [
{
"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 provided diagram, let's denote angle 1 as variable 'a' where a = 42°. If line a is parallel to line b, what is the degree measure of angle 2, expresse... | {"<|obj1|>":[70,0,167,83],"<|obj2|>":[0,0,167,83],"<|obj3|>":[147,35,161,56],"<|obj4|>":[7,70,28,83],"<|obj5|>":[14,0,112,83]} | [
168,
84
] | 1,711 | |
1833 | [
{
"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 picture, circle O contains points A, B, and C. If angle ABO is 43 degrees, what is the measure of angle ACB?\nChoices:\nA: 43°\nB: 45°\nC: 47°\nD: 50°... | {"<|obj1|>":[0,0,42,35],"<|obj2|>":[11,2,52,55],"<|obj3|>":[18,21,31,31],"<|obj4|>":[7,44,12,49],"<|obj5|>":[39,42,45,52],"<|obj6|>":[44,16,52,31],"<|obj7|>":[7,2,49,49],"<|obj8|>":[18,11,47,40],"<|obj9|>":[21,2,49,31],"<|obj10|>":[4,4,45,49],"<|obj11|>":[0,2,52,55]} | [
56,
56
] | 1,170 | |
216 | [
{
"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: Consider circle O with diameter AB, where BD and CD are tangents to circle O at points B and C, respectively. If the measure of angle BDC is 100.0, what is t... | {"<|obj1|>":[0,4,47,98],"<|obj2|>":[4,56,61,111],"<|obj3|>":[51,0,94,42],"<|obj4|>":[74,65,103,103],"<|obj5|>":[51,4,94,42],"<|obj6|>":[51,4,98,89],"<|obj7|>":[0,0,111,111],"<|obj8|>":[4,14,84,98],"<|obj9|>":[0,0,94,98],"<|obj10|>":[46,14,98,108],"<|obj11|>":[0,0,111,111],"<|obj12|>":[0,14,103,108],"<|obj13|>":[0,0,111... | [
112,
112
] | 3,737 | |
336 | [
{
"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: Based on the provided diagram, if the bottom radius of a cone is OB = 6.0 and the height is OC = 8.0, how can we determine the lateral area of this cone?\nCh... | {"<|obj1|>":[5,0,95,88],"<|obj2|>":[11,105,101,135],"<|obj3|>":[47,0,59,18],"<|obj4|>":[35,105,65,139],"<|obj5|>":[38,70,109,139],"<|obj6|>":[41,17,111,88],"<|obj7|>":[38,5,109,76]} | [
112,
140
] | 1,753 | |
584 | [
{
"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: As shown in the figure, the diagonals AC and BD of rhombus ABCD intersect at point O. If the perimeter is 20 and BD = 8, then the length of AC is ().\nChoice... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[0,0,139,106],"<|obj3|>":[0,0,139,111],"<|obj4|>":[0,0,139,106],"<|obj5|>":[0,35,135,111],"<|obj6|>":[0,0,139,111],"<|obj7|>":[5,0,139,111]} | [
140,
112
] | 2,275 | |
76 | [
{
"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: As shown in the figure, take one side AB of the parallelogram ABCD as the diameter as circle O, if circle O passes through point C, and angle AOC = 70.0, the... | {"<|obj1|>":[16,0,195,111],"<|obj2|>":[81,14,180,111],"<|obj3|>":[8,0,180,111],"<|obj4|>":[16,0,172,104],"<|obj5|>":[15,0,173,111],"<|obj6|>":[15,0,173,111]} | [
196,
112
] | 3,375 | |
1893 | [
{
"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 given diagram, let's denote the radius of circle O as variable r and angle OBA as variable b where b = 50.0 degrees. What is the degree measure of ang... | {"<|obj1|>":[18,0,103,75],"<|obj2|>":[42,32,61,61],"<|obj3|>":[0,74,75,111],"<|obj4|>":[42,88,80,111],"<|obj5|>":[84,37,111,66],"<|obj6|>":[9,14,98,98],"<|obj7|>":[9,14,98,98],"<|obj8|>":[42,46,98,103]} | [
112,
112
] | 1,562 | |
449 | [
{
"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 diagram shows AB parallel to CD and angle 1 measuring 135°. What is the degree measure of angle A?\nChoices:\nA: 40°\nB: 45°\nC: 135°\nD: 145°.\nPlease a... | {"<|obj1|>":[0,0,195,139],"<|obj2|>":[171,115,188,132],"<|obj3|>":[0,57,156,83],"<|obj4|>":[32,0,195,139],"<|obj5|>":[16,0,147,139]} | [
196,
140
] | 3,607 | |
458 | [
{
"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: As shown in the figure, the known point C is the midpoint of the line segment AD, AB = 10.0, BD = 4.0, then the length of BC is ()\nChoices:\nA: 5cm\nB: 6cm\... | {"<|obj1|>":[0,0,117,27],"<|obj2|>":[40,0,111,27],"<|obj3|>":[99,5,135,27],"<|obj4|>":[64,0,135,27],"<|obj5|>":[35,0,117,27],"<|obj6|>":[58,0,139,27]} | [
140,
28
] | 1,414 | |
309 | [
{
"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 diagram of diamond ABCD, with point O as the intersection of diagonals AC and BD, if OA measures 4.0 and OB measures 3.0, what is the total perimeter ... | {"<|obj1|>":[0,0,139,111],"<|obj2|>":[11,11,129,77],"<|obj3|>":[0,0,139,111],"<|obj4|>":[17,0,139,111]} | [
140,
112
] | 2,274 | |
1075 | [
{
"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: As shown in the figure, line a runs parallel to line b. If the measure of angle 1 is 60.0 degrees and angle 2 is 40.0 degrees, what will be the measure of an... | {"<|obj1|>":[0,0,58,48],"<|obj2|>":[0,14,98,111],"<|obj3|>":[24,0,180,111],"<|obj4|>":[138,7,180,111],"<|obj5|>":[39,0,195,111]} | [
196,
112
] | 3,902 | |
765 | [
{
"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 given figure, let angle A represent the circumferential angle of circle O. If angle A is equal to 50.0 degrees, what is the degree measure of angle BO... | {"<|obj1|>":[0,4,56,61],"<|obj2|>":[42,0,98,56],"<|obj3|>":[9,4,108,94]} | [
112,
112
] | 1,655 | |
549 | [
{
"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 point E lies on side CD of square ABCD and the area of triangle ABE is 8, with CE measuring 3 units, what is the length of segment BE?\nChoices:\nA: 4\nB:... | {"<|obj1|>":[0,0,111,111],"<|obj2|>":[79,23,103,47],"<|obj3|>":[14,4,103,98],"<|obj4|>":[0,23,98,108]} | [
112,
112
] | 1,981 | |
1551 | [
{
"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 rectangle ABCD shown, where AD is twice the length of AB and E is the midpoint of AD, what is the degree of angle BEC?\nChoices:\nA: 45°\nB: 60°\nC: 9... | {"<|obj1|>":[0,7,167,83],"<|obj2|>":[70,0,140,42],"<|obj3|>":[35,21,147,77],"<|obj4|>":[0,0,140,77],"<|obj5|>":[7,42,49,77],"<|obj6|>":[133,63,167,83],"<|obj7|>":[126,0,167,83]} | [
168,
84
] | 3,941 | |
1956 | [
{
"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: Given a wooden box with dimensions 'length' (L), 'width' (W), and 'height' (H) (L = 12.0, W = 4.0, H = 3.0), what is the maximum length 'M' of a thin wooden ... | {"<|obj1|>":[0,0,167,83],"<|obj2|>":[14,0,167,83],"<|obj3|>":[14,0,167,83],"<|obj4|>":[0,0,167,83]} | [
168,
84
] | 2,102 | |
686 | [
{
"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 displaying triangle ABC, where point D is taken to be the midpoint of side AB and point E is assumed to be the midpoint of side BC, if triangle... | {"<|obj1|>":[0,0,167,139],"<|obj2|>":[7,0,167,126],"<|obj3|>":[70,112,91,139],"<|obj4|>":[63,49,167,126]} | [
168,
140
] | 2,774 | |
220 | [
{
"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 degree measure of angle 3 if line a is parallel to line b in the given figure, angle 1 is 69 degrees, and angle 3 is half of angle 2?\nChoices:\n... | {"<|obj1|>":[91,0,167,91],"<|obj2|>":[126,70,154,84],"<|obj3|>":[0,7,35,35],"<|obj4|>":[0,63,154,139],"<|obj5|>":[0,0,154,139],"<|obj6|>":[0,35,119,139],"<|obj7|>":[7,14,91,139]} | [
168,
140
] | 3,239 | |
844 | [
{
"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 measure of angle BAC in rhombus ABCD if angle D is measured at 150 degrees?\nChoices:\nA: 30°\nB: 25°\nC: 20°\nD: 15°.\nPlease answer the questio... | {"<|obj1|>":[21,0,242,83],"<|obj2|>":[21,0,251,63],"<|obj3|>":[21,0,251,83],"<|obj4|>":[10,10,53,63],"<|obj5|>":[189,21,242,63]} | [
252,
84
] | 3,014 | |
1861 | [
{
"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: Consider quadrilateral ABCD with midpoints E and F on sides AB and AD, respectively. Given that EF = 6, BC = 13, and CD = 5, determine the area of triangle D... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[17,0,47,30],"<|obj3|>":[0,59,24,83],"<|obj4|>":[110,65,139,83],"<|obj5|>":[70,11,105,30],"<|obj6|>":[5,13,76,83],"<|obj7|>":[17,0,139,83],"<|obj8|>":[5,59,139,83],"<|obj9|>":[11,0,139,83]} | [
140,
84
] | 1,754 | |
1364 | [
{
"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 given diagram, let's denote the central angle BOC as variable x where x = 64°. What is the degree measure of angle BAC, expressed as variable y in rel... | {"<|obj1|>":[35,52,89,105],"<|obj2|>":[35,5,59,30],"<|obj3|>":[0,58,59,129],"<|obj4|>":[35,105,71,135],"<|obj5|>":[23,17,101,111],"<|obj6|>":[11,11,101,111],"<|obj7|>":[17,46,65,117],"<|obj8|>":[41,58,65,123],"<|obj9|>":[17,17,106,139]} | [
112,
140
] | 1,646 | |
1448 | [
{
"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 given triangle ABC, with AB = 15 and BC = 9, let BD be the median of side AC. If the perimeter of triangle ABD is represented by the variable 'm' (m =... | {"<|obj1|>":[16,0,195,111],"<|obj2|>":[16,47,131,104]} | [
196,
112
] | 1,729 | |
1709 | [
{
"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 provided diagram, Tongtong starts from point A and moves forward 3m to point B, then turns right by an angle of 20°. After moving forward 3m to point ... | {"<|obj1|>":[0,0,91,55],"<|obj2|>":[49,0,91,21],"<|obj3|>":[77,0,161,55]} | [
168,
56
] | 1,308 | |
1604 | [
{
"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: As shown in the figure, if triangle ABC congruent triangle DEF, angle A = 45.0, angle F = 35.0, then angle E is equal to ()\nChoices:\nA: 35°\nB: 45°\nC: 60... | {"<|obj1|>":[0,31,126,74],"<|obj2|>":[147,10,242,83],"<|obj3|>":[52,31,116,74],"<|obj4|>":[147,0,242,83],"<|obj5|>":[94,10,221,83]} | [
252,
84
] | 3,010 | |
1657 | [
{
"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: Given that quadrilateral ABCD is inscribed in circle O in the provided figure, and angle A is measured at 80 degrees, what is the measurement of angle C in d... | {"<|obj1|>":[0,0,55,55],"<|obj2|>":[4,4,52,54],"<|obj3|>":[9,0,55,55],"<|obj4|>":[16,2,55,40]} | [
56,
56
] | 1,744 | |
1671 | [
{
"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: As depicted in the figure, right triangle ABC has angle C as a right angle, measuring 90.0 degrees. BC measures 4.0 and AC measures 8.0. Point D is the last ... | {"<|obj1|>":[0,0,111,139],"<|obj2|>":[0,0,111,139],"<|obj3|>":[0,0,111,117],"<|obj4|>":[88,122,106,139],"<|obj5|>":[0,0,111,139],"<|obj6|>":[0,64,53,123],"<|obj7|>":[88,40,106,76],"<|obj8|>":[29,0,111,139]} | [
112,
140
] | 2,720 | |
972 | [
{
"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 isosceles triangle ABC, given that AB = AC = 12.0, BC = 20.0, and the perpendicular bisector of side AC intersects AC and BC at points D and E respect... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[87,0,139,78],"<|obj3|>":[87,23,100,54],"<|obj4|>":[52,59,76,83],"<|obj5|>":[5,5,129,83]} | [
140,
84
] | 2,486 | |
1135 | [
{
"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: Let 'x' denote the base length and 'y' represent the height of the axis section isosceles triangle in a cone (x = 10.0, y = 10.0). Determine the lateral area... | {"<|obj1|>":[0,0,83,83],"<|obj2|>":[0,0,83,83]} | [
84,
84
] | 1,426 | |
1324 | [
{
"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 given parallelogram ABCD, as shown in the figure, if point E is the midpoint of side AB and the diagonal DE intersects the diagonal AC at point F, and... | {"<|obj1|>":[0,0,139,83],"<|obj2|>":[40,59,65,83],"<|obj3|>":[0,0,139,83],"<|obj4|>":[81,0,135,36]} | [
140,
84
] | 2,306 | |
1445 | [
{
"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: When triangle ABC, with angle ACB at 90 degrees, angle BAC at 30 degrees, and BC at 2cm, is rotated around the line AC for one revolution, what will be the r... | {"<|obj1|>":[0,0,111,108],"<|obj2|>":[0,0,111,111]} | [
112,
112
] | 3,171 |