id
stringlengths
9
9
media
images listlengths
1
1
messages
stringlengths
89
312
answer
stringlengths
1
34
question_type
stringclasses
2 values
tra_00300
[{"role": "user", "question": "<image>Find the measure of $\\angle 1$.", "hint": "", "options": {}, "choices": []}]
70
numeric
tra_00301
[{"role": "user", "question": "<image>Find $x$. $A = 78$ cm$^2$.", "hint": "", "options": {}, "choices": []}]
8.0
numeric
tra_00302
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
5 \sqrt { 3 }
open
tra_00303
[{"role": "user", "question": "<image>Find $x$ so that the quadrilateral is a parallelogram", "hint": "", "options": {}, "choices": []}]
2
numeric
tra_00304
[{"role": "user", "question": "<image>In $\\odot C$, $m \\angle HCG=2x$ and $m \\angle HCD=6x+28$, find $m \\widehat {HD}$.", "hint": "", "options": {}, "choices": []}]
142
numeric
tra_00305
[{"role": "user", "question": "<image>In the figure, the vertices of quadrilateral ABCD intersect square EFGH and divide its sides into segments with measures that have a ratio of 1:2. Find the area of ABCD.", "hint": "", "options": {}, "choices": []}]
45
numeric
tra_00306
[{"role": "user", "question": "<image>Find the measure of $XT$.", "hint": "", "options": {}, "choices": []}]
7
numeric
tra_00307
[{"role": "user", "question": "<image>In $\\odot A, m \\angle E A D=42$. Find $m \\widehat{E D B}$", "hint": "", "options": {}, "choices": []}]
222
numeric
tra_00308
[{"role": "user", "question": "<image>$m \\widehat{J H}=114$ Find $m\\angle 1$", "hint": "", "options": {}, "choices": []}]
33
numeric
tra_00309
[{"role": "user", "question": "<image>Find the value of the variable w.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_00310
[{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}]
14
numeric
tra_00311
[{"role": "user", "question": "<image>Given $a ∥ b$, find $m∠1$.", "hint": "", "options": {}, "choices": []}]
79
numeric
tra_00312
[{"role": "user", "question": "<image>In the figure, $ \\triangle ABC$ is isosceles, $ \\triangle DCE$ is equilateral, and $ \\triangle FCG$ is isosceles. Find the measures of the $\\angle 5$ at vertex $C$.", "hint": "", "options": {}, "choices": []}]
18
numeric
tra_00313
[{"role": "user", "question": "<image>In $\\Delta G H J$, $H P=5 x-16$, $P J=3 x+8$, $m \\angle G J N=6 y-3$, $m \\angle N J H=4 y+23$ and $m \\angle H M G=4 z+14$. Find $m∠GJH$ if $\\overline{JN}$ is an angle bisector.", "hint": "", "options": {}, "choices": []}]
150
numeric
tra_00314
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_00315
[{"role": "user", "question": "<image>Find $m \\angle A G D$", "hint": "", "options": {}, "choices": []}]
90
numeric
tra_00316
[{"role": "user", "question": "<image>Find the measure of $∠T$ to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
64.6
numeric
tra_00317
[{"role": "user", "question": "<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
80
numeric
tra_00318
[{"role": "user", "question": "<image> In the figure, below, square $A B C D$ is attached to $\\triangle A D E$ as shown. If $m \\angle E A D$ is $30^{\\circ}$ and $A E$ is equal to $4 \\sqrt{3}$, then what is the area of square $A B C D $?", "hint": "", "options": {}, "choices": []}]
64
numeric
tra_00319
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
12
numeric
tra_00320
[{"role": "user", "question": "<image>Find $m \\angle 2$.", "hint": "", "options": {}, "choices": []}]
39
numeric
tra_00321
[{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
153
numeric
tra_00322
[{"role": "user", "question": "<image>Find $m\\angle X$", "hint": "", "options": {}, "choices": []}]
36
numeric
tra_00323
[{"role": "user", "question": "<image>Use rhombus $A B C D$ with $m \\angle 1=2 x+20, m \\angle 2=5 x-4$, $A C=15,$ and $m \\angle 3=y^{2}+26 .$ \r\nFind x", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_00324
[{"role": "user", "question": "<image>Find the area of the figure.", "hint": "", "options": {}, "choices": []}]
150
numeric
tra_00325
[{"role": "user", "question": "<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
4.1
numeric
tra_00326
[{"role": "user", "question": "<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \\angle 8$.", "hint": "", "options": {}, "choices": []}]
116
numeric
tra_00327
[{"role": "user", "question": "<image>Each pair of polygons is similar. Find AB", "hint": "", "options": {}, "choices": []}]
\frac { 16 } { 3 }
open
tra_00328
[{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_00329
[{"role": "user", "question": "<image>The diameters of $\\odot A, \\odot B,$ and $\\odot C$ are $8$ inches, $18$ inches, and $11$ inches, respectively. Find $FB$.", "hint": "", "options": {}, "choices": []}]
5
numeric
tra_00330
[{"role": "user", "question": "<image>Find y so that $e || f$.", "hint": "", "options": {}, "choices": []}]
20
numeric
tra_00331
[{"role": "user", "question": "<image>In $\\odot G, m \\angle A G B=30$ and $\\overline{C G} \\perp \\overline{G D}$.\r\nFind $m \\widehat{B C D}$", "hint": "", "options": {}, "choices": []}]
150
numeric
tra_00332
[{"role": "user", "question": "<image>In the figure, $m∠1 = 123$. Find the measure of $\\angle 11$.", "hint": "", "options": {}, "choices": []}]
123
numeric
tra_00333
[{"role": "user", "question": "<image>MNQR is a rectangle. If $N R=2 x+10$ and $N P=2 x-30$\r\nfind $M P$", "hint": "", "options": {}, "choices": []}]
40
numeric
tra_00334
[{"role": "user", "question": "<image>Find x. Round side measures to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
4.1
numeric
tra_00335
[{"role": "user", "question": "<image>Find the measure of the altitude drawn to the hypotenuse.", "hint": "", "options": {}, "choices": []}]
\sqrt { 26 }
open
tra_00336
[{"role": "user", "question": "<image>$\\overline{AD}$ and $\\overline{CG}$ are diameters of $\\odot B$. Find $m \\widehat {ACF}$.", "hint": "", "options": {}, "choices": []}]
270
numeric
tra_00337
[{"role": "user", "question": "<image>Find $m \\angle ACB$.", "hint": "", "options": {}, "choices": []}]
136
numeric
tra_00338
[{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}]
3 \sqrt { 13 }
open
tra_00339
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
39.4
numeric
tra_00340
[{"role": "user", "question": "<image>Find the measure of $\\angle 6$.", "hint": "", "options": {}, "choices": []}]
140
numeric
tra_00341
[{"role": "user", "question": "<image>What is the value of x in the figure?", "hint": "", "options": {}, "choices": []}]
26
numeric
tra_00342
[{"role": "user", "question": "<image>Refer to the figure at the right. The orthocenter of $\\triangle A B C$ is located 6.4 units from point $D$. Find $B C$.", "hint": "", "options": {}, "choices": []}]
10.03
numeric
tra_00343
[{"role": "user", "question": "<image>If $EN=13$, what is the diameter of the circle?", "hint": "", "options": {}, "choices": []}]
26
numeric
tra_00344
[{"role": "user", "question": "<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \\angle 3$.", "hint": "", "options": {}, "choices": []}]
116
numeric
tra_00345
[{"role": "user", "question": "<image>Find the area of the trapezoid.", "hint": "", "options": {}, "choices": []}]
272
numeric
tra_00346
[{"role": "user", "question": "<image>In right triangle $ABC$ shown below, what is the measure of $∠ A$ to the nearest tenth of a degree?", "hint": "", "options": {}, "choices": []}]
38.9
numeric
tra_00347
[{"role": "user", "question": "<image>Find x. Assume that any segment that appears to be tangent is tangent.", "hint": "", "options": {}, "choices": []}]
9
numeric
tra_00348
[{"role": "user", "question": "<image>Use rhombus XYZW with $m \\angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\\frac{5 a+1}{4}$\r\nFind XW", "hint": "", "options": {}, "choices": []}]
5
numeric
tra_00349
[{"role": "user", "question": "<image>In $\\odot G, m \\angle A G B=30$ and $\\overline{C G} \\perp \\overline{G D}$.\r\nFind $m \\widehat{A B}$", "hint": "", "options": {}, "choices": []}]
30
numeric
tra_00350
[{"role": "user", "question": "<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}]
5
numeric
tra_00351
[{"role": "user", "question": "<image>Find z", "hint": "", "options": {}, "choices": []}]
25
numeric
tra_00352
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
54
numeric
tra_00353
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
18
numeric
tra_00354
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_00355
[{"role": "user", "question": "<image>Quadrilateral $ABCD$ is a rhombus. If $m\\angle DPC = 3x – 15$, find $x$.", "hint": "", "options": {}, "choices": []}]
35
numeric
tra_00356
[{"role": "user", "question": "<image>$∠6$ and $∠8$ are complementary, $m∠8 = 47$. Find the measure of $\\angle 6$.", "hint": "", "options": {}, "choices": []}]
43
numeric
tra_00357
[{"role": "user", "question": "<image>Find $m \\angle K$.", "hint": "", "options": {}, "choices": []}]
117
numeric
tra_00358
[{"role": "user", "question": "<image>Find $y$ if $m∠5 = 68$ and $m∠3 = 3y - 2$.", "hint": "", "options": {}, "choices": []}]
38
numeric
tra_00359
[{"role": "user", "question": "<image>Find x so that $GJ \\parallel FK$. GF = 12, HG = 6, HJ = 8, JK = x - 4.\r\n", "hint": "", "options": {}, "choices": []}]
20
numeric
tra_00360
[{"role": "user", "question": "<image>Find $m \\widehat{E D B}$ if $m \\widehat{F E}=118, m \\widehat{A B}=108$, $m \\angle E G B=52,$ and $m \\angle E F B=30$.", "hint": "", "options": {}, "choices": []}]
15
numeric
tra_00361
[{"role": "user", "question": "<image>Find $m\\angle R$", "hint": "", "options": {}, "choices": []}]
150
numeric
tra_00362
[{"role": "user", "question": "<image>$\\ln \\odot K$, $ M N=16$ and $m \\widehat{M N}=98$. Find the measure of $m \\widehat{NJ}$. Round to the nearest hundredth.", "hint": "", "options": {}, "choices": []}]
131.00
numeric
tra_00363
[{"role": "user", "question": "<image>Find the perimeter of $\\triangle C B H,$ if $\\triangle C B H \\sim \\triangle F E H, A D E G$ is a parallelogram, $C H=7, F H=10$, $F E=11,$ and $E H=6$.", "hint": "", "options": {}, "choices": []}]
18.9
numeric
tra_00364
[{"role": "user", "question": "<image>Find x. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}]
9
numeric
tra_00365
[{"role": "user", "question": "<image>$m \\angle 2=2 x, m \\angle 3=x$ Find $m\\angle 1$", "hint": "", "options": {}, "choices": []}]
30
numeric
tra_00366
[{"role": "user", "question": "<image>If $\\overline{PR} \\| \\overline{KL}, KN=9, LN=16,$ and $PM=2KP$, find $ML$.", "hint": "", "options": {}, "choices": []}]
20
numeric
tra_00367
[{"role": "user", "question": "<image>Find $SW$.", "hint": "", "options": {}, "choices": []}]
16
numeric
tra_00368
[{"role": "user", "question": "<image>$\\overline{GJ}$ is a diameter of $\\odot K$. Find $m \\widehat {GLH}$.", "hint": "", "options": {}, "choices": []}]
238
numeric
tra_00369
[{"role": "user", "question": "<image>If $ABCD$ is a kite, Find $m \\angle C$", "hint": "", "options": {}, "choices": []}]
70
numeric
tra_00370
[{"role": "user", "question": "<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
13.2
numeric
tra_00371
[{"role": "user", "question": "<image>Triangle RST is circumscribed about the circle below. What is the perimeter of the triangle?\r\n ", "hint": "", "options": {}, "choices": []}]
36
numeric
tra_00372
[{"role": "user", "question": "<image>Find $m \\angle PQS$.", "hint": "", "options": {}, "choices": []}]
42
numeric
tra_00373
[{"role": "user", "question": "<image>Find x. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
2
numeric
tra_00374
[{"role": "user", "question": "<image>Find $x$ in the figure.", "hint": "", "options": {}, "choices": []}]
34
numeric
tra_00375
[{"role": "user", "question": "<image>Find y in the parallelogram", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_00376
[{"role": "user", "question": "<image>Find the variable of $b$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}]
11.3
numeric
tra_00377
[{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}]
15
numeric
tra_00378
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
4 \sqrt { 3 }
open
tra_00379
[{"role": "user", "question": "<image>Find the area of the triangle. Round to the nearest hundredth.", "hint": "", "options": {}, "choices": []}]
23.39
numeric
tra_00380
[{"role": "user", "question": "<image>Find the perimeter of $▱ ABCD$.", "hint": "", "options": {}, "choices": []}]
28
numeric
tra_00381
[{"role": "user", "question": "<image>Solve for x in the figure.", "hint": "", "options": {}, "choices": []}]
4
numeric
tra_00382
[{"role": "user", "question": "<image>In the figure, $m∠3 = 110$ and $m ∠ 12 = 55$. Find the measure of $∠15$.", "hint": "", "options": {}, "choices": []}]
55
numeric
tra_00383
[{"role": "user", "question": "<image>In the figure, $m ∠1 = 58 $, $m ∠2 = 47 $, and $m ∠3 = 26 $. Find the measure of $∠7$.", "hint": "", "options": {}, "choices": []}]
58
numeric
tra_00384
[{"role": "user", "question": "<image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x + 2, QR = 5x + 3, and PM = 13, find TS.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_00385
[{"role": "user", "question": "<image>Find the measure of $\\angle R$", "hint": "", "options": {}, "choices": []}]
122
numeric
tra_00386
[{"role": "user", "question": "<image>Find the circumference of $\\odot S$. Round to the nearest hundredth.", "hint": "", "options": {}, "choices": []}]
40.83
numeric
tra_00387
[{"role": "user", "question": "<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
168.2
numeric
tra_00388
[{"role": "user", "question": "<image>$\\overline{AD}$ and $\\overline{CG}$ are diameters of $\\odot B$. Find $m \\widehat {GCF}$.", "hint": "", "options": {}, "choices": []}]
325
numeric
tra_00389
[{"role": "user", "question": "<image>Find the measure of $\\angle 3$.", "hint": "", "options": {}, "choices": []}]
49
numeric
tra_00390
[{"role": "user", "question": "<image>Find $JK$.", "hint": "", "options": {}, "choices": []}]
24
numeric
tra_00391
[{"role": "user", "question": "<image>In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\\angle 7$.", "hint": "", "options": {}, "choices": []}]
76
numeric
tra_00392
[{"role": "user", "question": "<image>Find x. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}]
13
numeric
tra_00393
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
71
numeric
tra_00394
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
\frac { 15 } { 2 } \sqrt { 3 }
open
tra_00395
[{"role": "user", "question": "<image>$\\overline{QS}$ is a diameter of $\\odot V$. Find $m \\widehat {QRT}$.", "hint": "", "options": {}, "choices": []}]
255
numeric
tra_00396
[{"role": "user", "question": "<image>Find $BC$.", "hint": "", "options": {}, "choices": []}]
10
numeric
tra_00397
[{"role": "user", "question": "<image>Find x. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}]
18
numeric
tra_00398
[{"role": "user", "question": "<image>Find the measure of $\\angle 1$ if $m∠DGF = 53$ and $m∠AGC = 40$.", "hint": "", "options": {}, "choices": []}]
37
numeric
tra_00399
[{"role": "user", "question": "<image>Find $KL$.", "hint": "", "options": {}, "choices": []}]
14
numeric