Datasets:
mm-eval
/
Geometry3K

Dataset card Data Studio Files
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1
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34
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2 values
tra_01300
[{"role": "user", "question": "<image>Find $SR$.", "hint": "", "options": {}, "choices": []}]
4
numeric
tra_01301
[{"role": "user", "question": "<image>If TP = 4x + 2, QP = 2y – 6, PS = 5y - 12, and PR = 6x - 4, find x so that the quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
3
numeric
tra_01302
[{"role": "user", "question": "<image>$\\triangle K L N$ and $\\triangle L M N$ are isosceles and $m \\angle J K N=130$. Find the measure of $\\angle M$.", "hint": "", "options": {}, "choices": []}]
140
numeric
tra_01303
[{"role": "user", "question": "<image>Find $x$ so that the quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_01304
[{"role": "user", "question": "<image>Find $m\\angle D$", "hint": "", "options": {}, "choices": []}]
60
numeric
tra_01305
[{"role": "user", "question": "<image>$\\odot C \\cong \\odot D$, Find $x$.", "hint": "", "options": {}, "choices": []}]
27
numeric
tra_01306
[{"role": "user", "question": "<image>Find $y$ so that the quadrilateral is a parallelogram", "hint": "", "options": {}, "choices": []}]
15.5
numeric
tra_01307
[{"role": "user", "question": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
12.8
numeric
tra_01308
[{"role": "user", "question": "<image>In $\\odot R, S U=20, Y W=20,$ and $m \\widehat{Y X}=45$.\r\nFind UV", "hint": "", "options": {}, "choices": []}]
10
numeric
tra_01309
[{"role": "user", "question": "<image>Find $m \\widehat {RQS}$ if $m \\widehat{QTS}=238$.", "hint": "", "options": {}, "choices": []}]
61
numeric
tra_01310
[{"role": "user", "question": "<image>Find the measure of the altitude drawn to the hypotenuse.", "hint": "", "options": {}, "choices": []}]
3 \sqrt { 5 }
open
tra_01311
[{"role": "user", "question": "<image>If $b=3,$ find $c$", "hint": "", "options": {}, "choices": []}]
2 \sqrt { 3 }
open
tra_01312
[{"role": "user", "question": "<image>If $m \\angle 2=70-4 x$ and $m \\angle 5=18 x-8,$ find $m \\angle 5$", "hint": "", "options": {}, "choices": []}]
28
numeric
tra_01313
[{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}]
4
numeric
tra_01314
[{"role": "user", "question": "<image>Find $m \\angle 4$.", "hint": "", "options": {}, "choices": []}]
95
numeric
tra_01315
[{"role": "user", "question": "<image>Find $EG$.", "hint": "", "options": {}, "choices": []}]
10
numeric
tra_01316
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
9
numeric
tra_01317
[{"role": "user", "question": "<image>Find the scale factor from $W$ to $W'$.", "hint": "", "options": {}, "choices": []}]
0.6
numeric
tra_01318
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
18
numeric
tra_01319
[{"role": "user", "question": "<image>If $\\angle R S T$ is a right angle, $\\overline{SU} \\perp \\overline{RT}$, $\\overline{UV} \\perp \\overline{ST},$ and $m \\angle RT S=47,$ find $m \\angle TUV$", "hint": "", "options": {}, "choices": []}]
43
numeric
tra_01320
[{"role": "user", "question": "<image>Find y. Round to the nearest tenth, if necessary.", "hint": "", "options": {}, "choices": []}]
8.6
numeric
tra_01321
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_01322
[{"role": "user", "question": "<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\\angle ABD = 55$ . Find AE", "hint": "", "options": {}, "choices": []}]
\sqrt { 63 }
open
tra_01323
[{"role": "user", "question": "<image>Quadrilateral ABCD is a rectangle. $m\\angle 2 = 40$. Find $m \\angle 6$", "hint": "", "options": {}, "choices": []}]
50
numeric
tra_01324
[{"role": "user", "question": "<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find KP", "hint": "", "options": {}, "choices": []}]
5
numeric
tra_01325
[{"role": "user", "question": "<image>Find $m \\angle ABD$.", "hint": "", "options": {}, "choices": []}]
103
numeric
tra_01326
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
5.5
numeric
tra_01327
[{"role": "user", "question": "<image>If $\\overline{MS}$ is a median of $ \\triangle MNQ$, $QS = 3a - 14$, $SN = 2a + 1$, and $m∠MSQ = 7a + 1$, find the value of $a$.", "hint": "", "options": {}, "choices": []}]
15
numeric
tra_01328
[{"role": "user", "question": "<image>If QRST is a parallelogram, find $y$", "hint": "", "options": {}, "choices": []}]
9
numeric
tra_01329
[{"role": "user", "question": "<image>Find the measure of $\\angle D$", "hint": "", "options": {}, "choices": []}]
46
numeric
tra_01330
[{"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": []}]
10.6
numeric
tra_01331
[{"role": "user", "question": "<image>In $\\odot G, m \\angle A G B=30$ and $\\overline{C G} \\perp \\overline{G D}$.\r\nFind $m \\widehat{C D F}$", "hint": "", "options": {}, "choices": []}]
120
numeric
tra_01332
[{"role": "user", "question": "<image>If $CE=t-2$. $EB=t+1$, $CD=2$, and $CA=10$, find $t$.", "hint": "", "options": {}, "choices": []}]
3
numeric
tra_01333
[{"role": "user", "question": "<image>Find z.", "hint": "", "options": {}, "choices": []}]
\frac { \sqrt { 2 } } { 3 }
open
tra_01334
[{"role": "user", "question": "<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.", "hint": "", "options": {}, "choices": []}]
5
numeric
tra_01335
[{"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 AF", "hint": "", "options": {}, "choices": []}]
7.5
numeric
tra_01336
[{"role": "user", "question": "<image>Find the area of the shaded region formed by the circle and regular polygon. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
1.9
numeric
tra_01337
[{"role": "user", "question": "<image>In $\\odot O, \\overline{E C}$ and $\\overline{A B}$ are diameters, and $\\angle B O D \\cong \\angle D O E \\cong \\angle E O F \\cong \\angle F O A$\r\nFind $m\\widehat{E B}$", "hint": "", "options": {}, "choices": []}]
90
numeric
tra_01338
[{"role": "user", "question": "<image>Find the measure of $∠Z$ to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
36.9
numeric
tra_01339
[{"role": "user", "question": "<image>Find the area of the regular polygon. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
59.4
numeric
tra_01340
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
2
numeric
tra_01341
[{"role": "user", "question": "<image>Find $m \\angle A$.", "hint": "", "options": {}, "choices": []}]
85
numeric
tra_01342
[{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}]
9.6 \sqrt { 2 }
open
tra_01343
[{"role": "user", "question": "<image>Find $m \\angle C$.", "hint": "", "options": {}, "choices": []}]
49
numeric
tra_01344
[{"role": "user", "question": "<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.\r\nIf $m \\angle M J N=35,$ find $m \\angle M P N$", "hint": "", "options": {}, "choices": []}]
17.5
numeric
tra_01345
[{"role": "user", "question": "<image>The segment is tangent to the circle. Find $x$.", "hint": "", "options": {}, "choices": []}]
9
numeric
tra_01346
[{"role": "user", "question": "<image>$H$ is the incenter of $\\triangle ABC$. Find $m \\angle DHG$.", "hint": "", "options": {}, "choices": []}]
120
numeric
tra_01347
[{"role": "user", "question": "<image>What is the measure of $\\angle KLM$.", "hint": "", "options": {}, "choices": []}]
32
numeric
tra_01348
[{"role": "user", "question": "<image>Trapezoid $NOPQ$ has an area of 250 square inches. Find the height of $NOPQ$.", "hint": "", "options": {}, "choices": []}]
10
numeric
tra_01349
[{"role": "user", "question": "<image>Find $y$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
16
numeric
tra_01350
[{"role": "user", "question": "<image>$m \\widehat{J H}=114$ Find $m\\angle 2$", "hint": "", "options": {}, "choices": []}]
57
numeric
tra_01351
[{"role": "user", "question": "<image>Find the measure of $RS$ of equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.", "hint": "", "options": {}, "choices": []}]
18
numeric
tra_01352
[{"role": "user", "question": "<image>Find $x$ and so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_01353
[{"role": "user", "question": "<image>Use parallelogram MNPR to find $m \\angle MQR$", "hint": "", "options": {}, "choices": []}]
83
numeric
tra_01354
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
5
numeric
tra_01355
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_01356
[{"role": "user", "question": "<image>Find $MN$ if $\\triangle JMN$ is an isosceles triangle with $\\overline{JM} \\cong \\overline{M N}$.", "hint": "", "options": {}, "choices": []}]
3
numeric
tra_01357
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
14
numeric
tra_01358
[{"role": "user", "question": "<image>$\\overline{QS}$ is a diameter of $\\odot V$. Find $m \\widehat {PQR}$.", "hint": "", "options": {}, "choices": []}]
123
numeric
tra_01359
[{"role": "user", "question": "<image>Find AB", "hint": "", "options": {}, "choices": []}]
10
numeric
tra_01360
[{"role": "user", "question": "<image>Find $x$ so that $ m \\parallel n $.", "hint": "", "options": {}, "choices": []}]
- 8
open
tra_01361
[{"role": "user", "question": "<image>In the figure, $m ∠1 = 53$. Find the measure of $∠2$.", "hint": "", "options": {}, "choices": []}]
127
numeric
tra_01362
[{"role": "user", "question": "<image>Find $y$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
44
numeric
tra_01363
[{"role": "user", "question": "<image>Quadrilateral ABCD is a rectangle. $m\\angle 2 = 40$. Find $m \\angle 1$", "hint": "", "options": {}, "choices": []}]
50
numeric
tra_01364
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
150
numeric
tra_01365
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
8.4
numeric
tra_01366
[{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}]
\sqrt { 33 }
open
tra_01367
[{"role": "user", "question": "<image>Find $m\\angle M$", "hint": "", "options": {}, "choices": []}]
96
numeric
tra_01368
[{"role": "user", "question": "<image>In $\\odot X, A B=30, C D=30,$ and $m \\widehat{C Z}=40$\r\nFind $m\\widehat{Y B}$", "hint": "", "options": {}, "choices": []}]
40
numeric
tra_01369
[{"role": "user", "question": "<image>Find $m \\angle 3$.", "hint": "", "options": {}, "choices": []}]
29
numeric
tra_01370
[{"role": "user", "question": "<image>Find $m \\widehat {VX}$.", "hint": "", "options": {}, "choices": []}]
152
numeric
tra_01371
[{"role": "user", "question": "<image>What is the value of x in the figure?", "hint": "", "options": {}, "choices": []}]
12
numeric
tra_01372
[{"role": "user", "question": "<image>Find x. Assume that any segment that appears to be tangent is tangent.", "hint": "", "options": {}, "choices": []}]
130
numeric
tra_01373
[{"role": "user", "question": "<image>In A, the radius is $14$ and $CD = 22$. Find $CE$.", "hint": "", "options": {}, "choices": []}]
11
numeric
tra_01374
[{"role": "user", "question": "<image>Find the area of the shaded region.", "hint": "", "options": {}, "choices": []}]
47.7
numeric
tra_01375
[{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}]
8 \sqrt { 3 }
open
tra_01376
[{"role": "user", "question": "<image>Find the area of the regular polygon figure. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
166.3
numeric
tra_01377
[{"role": "user", "question": "<image>Find the measure of $\\angle 2$.", "hint": "", "options": {}, "choices": []}]
25
numeric
tra_01378
[{"role": "user", "question": "<image>In the figure, $m ∠9 = 75$. Find the measure of $\\angle 5$.", "hint": "", "options": {}, "choices": []}]
75
numeric
tra_01379
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
105.7
numeric
tra_01380
[{"role": "user", "question": "<image>In the figure, $ \\triangle ABC$ is isosceles, $ \\triangle DCE$ is equilateral, and $ \\triangle FCG$ is isosceles. Find the measure of the $\\angle 2$ at vertex $C$.", "hint": "", "options": {}, "choices": []}]
17
numeric
tra_01381
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
37
numeric
tra_01382
[{"role": "user", "question": "<image>If $m \\angle 1=3 x+40$, $m \\angle 2=2(y-10)$, and $m \\angle 3=2 x+70$, find $x$.", "hint": "", "options": {}, "choices": []}]
30
numeric
tra_01383
[{"role": "user", "question": "<image>$Q$ is the centroid and $BE=9$. Find $QE$.", "hint": "", "options": {}, "choices": []}]
3
numeric
tra_01384
[{"role": "user", "question": "<image>Find the perimeter of the $\\triangle DEF$, if $\\triangle ABC \\sim \\triangle DEF$, $AB=5, BC=6, AC=7$, and $DE=3$.", "hint": "", "options": {}, "choices": []}]
10.8
numeric
tra_01385
[{"role": "user", "question": "<image>In $\\odot R, S U=20, Y W=20,$ and $m \\widehat{Y X}=45$.\r\nFind $m\\widehat{S T}$", "hint": "", "options": {}, "choices": []}]
45
numeric
tra_01386
[{"role": "user", "question": "<image>Suppose $B D=12$ millimeters. Find the radius of the circle.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_01387
[{"role": "user", "question": "<image>Find the rhombus of the kite.", "hint": "", "options": {}, "choices": []}]
240
numeric
tra_01388
[{"role": "user", "question": "<image>Find the area of the shaded sector. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
4.5
numeric
tra_01389
[{"role": "user", "question": "<image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\\angle 10$.", "hint": "", "options": {}, "choices": []}]
57
numeric
tra_01390
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
3
numeric
tra_01391
[{"role": "user", "question": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
28
numeric
tra_01392
[{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_01393
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
21
numeric
tra_01394
[{"role": "user", "question": "<image>Find $m \\widehat{B X}$", "hint": "", "options": {}, "choices": []}]
117
numeric
tra_01395
[{"role": "user", "question": "<image>Find $m \\angle 3$.", "hint": "", "options": {}, "choices": []}]
133
numeric
tra_01396
[{"role": "user", "question": "<image>What is the value of tan x?", "hint": "", "options": {}, "choices": []}]
\frac { 5 } { 12 }
open
tra_01397
[{"role": "user", "question": "<image>If TP = 4x + 2, QP = 2y – 6, PS = 5y - 12, and PR = 6x - 4, find y so that the quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
2
numeric
tra_01398
[{"role": "user", "question": "<image>Find $b$ in the given parallelogram", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_01399
[{"role": "user", "question": "<image>Each pair of polygons is similar. Find y", "hint": "", "options": {}, "choices": []}]
14
numeric