Datasets:
mm-eval
/
Geometry3K

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1
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9
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1
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2 values
tra_00600
[{"role": "user", "question": "<image>Find the measure of $\\angle 2$.", "hint": "", "options": {}, "choices": []}]
53
numeric
tra_00601
[{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
57.9
numeric
tra_00602
[{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}]
16
numeric
tra_00603
[{"role": "user", "question": "<image>Find $y$ in the figure.", "hint": "", "options": {}, "choices": []}]
15
numeric
tra_00604
[{"role": "user", "question": "<image>Find the exact circumference of the circle below.", "hint": "", "options": {}, "choices": []}]
32 \pi
open
tra_00605
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
48
numeric
tra_00606
[{"role": "user", "question": "<image>Find the area of the composite figure. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
357.0
numeric
tra_00607
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
9 \sqrt { 2 }
open
tra_00608
[{"role": "user", "question": "<image>Find z.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_00609
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
231
numeric
tra_00610
[{"role": "user", "question": "<image>Find $m \\angle X$", "hint": "", "options": {}, "choices": []}]
108
numeric
tra_00611
[{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}]
15
numeric
tra_00612
[{"role": "user", "question": "<image>Find x. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
10.8
numeric
tra_00613
[{"role": "user", "question": "<image>Find the value of x.", "hint": "", "options": {}, "choices": []}]
4.08
numeric
tra_00614
[{"role": "user", "question": "<image>Use the figure to find the indicated variable. Find $y$ if $m \\angle 3 = 4y + 30$ and $m \\angle 7 = 7y + 6$.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_00615
[{"role": "user", "question": "<image>In $\\triangle CDF$, $K$ is the centroid and $DK=16$. Find $FG$.", "hint": "", "options": {}, "choices": []}]
18
numeric
tra_00616
[{"role": "user", "question": "<image>Find the area of the shaded figure in square inches. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
420
numeric
tra_00617
[{"role": "user", "question": "<image>Find the area of the figure.", "hint": "", "options": {}, "choices": []}]
54.9
numeric
tra_00618
[{"role": "user", "question": "<image>Find the value of $f$ in the parallelogram", "hint": "", "options": {}, "choices": []}]
14
numeric
tra_00619
[{"role": "user", "question": "<image>$J$ is the incenter of $\\angle ABC$. Find $m \\angle JAC$.", "hint": "", "options": {}, "choices": []}]
24
numeric
tra_00620
[{"role": "user", "question": "<image>Find $m \\angle R C L$", "hint": "", "options": {}, "choices": []}]
137
numeric
tra_00621
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
3 \sqrt { 2 }
open
tra_00622
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
32
numeric
tra_00623
[{"role": "user", "question": "<image>Find the area of the shaded region. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
471.2
numeric
tra_00624
[{"role": "user", "question": "<image>If quadrilateral ABCD is a kite, what is $m \\angle C$?", "hint": "", "options": {}, "choices": []}]
76
numeric
tra_00625
[{"role": "user", "question": "<image>Find the value of the variable $y$ in the figure.", "hint": "", "options": {}, "choices": []}]
125
numeric
tra_00626
[{"role": "user", "question": "<image>In the figure, $m ∠1 = 53$. Find the measure of $∠4$.", "hint": "", "options": {}, "choices": []}]
127
numeric
tra_00627
[{"role": "user", "question": "<image>Find $m \\angle S$.", "hint": "", "options": {}, "choices": []}]
54
numeric
tra_00628
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
\frac { 15 } { 14 } \sqrt { 19 }
open
tra_00629
[{"role": "user", "question": "<image>Find $x$ so that $p \\parallel q$.", "hint": "", "options": {}, "choices": []}]
45
numeric
tra_00630
[{"role": "user", "question": "<image>If $MNPQ \\sim XYZW,$ find the scale factor of $MNPQ$ to $XYZW$.", "hint": "", "options": {}, "choices": []}]
2
numeric
tra_00631
[{"role": "user", "question": "<image>Find $SP$.", "hint": "", "options": {}, "choices": []}]
17
numeric
tra_00632
[{"role": "user", "question": "<image>$m∠9 = 2x - 4$, $m∠10 = 2x + 4$. Find the measure of $∠9$.", "hint": "", "options": {}, "choices": []}]
86
numeric
tra_00633
[{"role": "user", "question": "<image>Find the measure of $m∠K$.", "hint": "", "options": {}, "choices": []}]
53
numeric
tra_00634
[{"role": "user", "question": "<image>If $J,P,$ and $L$ are the midpoints of $\\overline{KH}, \\overline{HM}$ and $\\overline{MK}$, respectively. Find $y$.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_00635
[{"role": "user", "question": "<image>If $J,P,$ and $L$ are the midpoints of $\\overline{KH}, \\overline{HM}$ and $\\overline{MK}$, respectively. Find $z$.", "hint": "", "options": {}, "choices": []}]
1
numeric
tra_00636
[{"role": "user", "question": "<image>If QRST is a parallelogram, what is the value of x?", "hint": "", "options": {}, "choices": []}]
13
numeric
tra_00637
[{"role": "user", "question": "<image>In $\\odot F$, $\\overline{AB} \\cong \\overline{BC}$, $DF=3x-7$, and $FE=x+9$. What is $x$?", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_00638
[{"role": "user", "question": "<image>Find $x$. A = 153 in$^2$.", "hint": "", "options": {}, "choices": []}]
17
numeric
tra_00639
[{"role": "user", "question": "<image>What is the area of the sector?", "hint": "", "options": {}, "choices": []}]
\frac { \pi } { 4 }
open
tra_00640
[{"role": "user", "question": "<image>Find $m\\angle J$", "hint": "", "options": {}, "choices": []}]
150
numeric
tra_00641
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
3
numeric
tra_00642
[{"role": "user", "question": "<image>Each pair of polygons is similar. Find y", "hint": "", "options": {}, "choices": []}]
70
numeric
tra_00643
[{"role": "user", "question": "<image>$a=8, b=15,$ and $c=17$ find $tanB$", "hint": "", "options": {}, "choices": []}]
1.88
numeric
tra_00644
[{"role": "user", "question": "<image>Find $z$ in the figure.", "hint": "", "options": {}, "choices": []}]
142
numeric
tra_00645
[{"role": "user", "question": "<image>Find the measure of $\\angle 1 $ if $\\overline{A B} \\perp \\overline{B C}$.", "hint": "", "options": {}, "choices": []}]
76
numeric
tra_00646
[{"role": "user", "question": "<image>Find AC", "hint": "", "options": {}, "choices": []}]
7 \sqrt { 3 }
open
tra_00647
[{"role": "user", "question": "<image>Find $m \\angle K$.", "hint": "", "options": {}, "choices": []}]
97
numeric
tra_00648
[{"role": "user", "question": "<image>In $\\triangle JKL$, $PT=2$. Find $KP$.", "hint": "", "options": {}, "choices": []}]
4
numeric
tra_00649
[{"role": "user", "question": "<image>Find $m\\angle Z$", "hint": "", "options": {}, "choices": []}]
144
numeric
tra_00650
[{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
115
numeric
tra_00651
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
1200
numeric
tra_00652
[{"role": "user", "question": "<image>Find $m\\angle K$", "hint": "", "options": {}, "choices": []}]
62
numeric
tra_00653
[{"role": "user", "question": "<image>Find $m \\widehat {AC}$.", "hint": "", "options": {}, "choices": []}]
48
numeric
tra_00654
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
10
numeric
tra_00655
[{"role": "user", "question": "<image>Find the value of $x$ in each diagram", "hint": "", "options": {}, "choices": []}]
44
numeric
tra_00656
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
4
numeric
tra_00657
[{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
60
numeric
tra_00658
[{"role": "user", "question": "<image>$ \\triangle RST$ is a right triangle. Find $m∠R$.", "hint": "", "options": {}, "choices": []}]
60
numeric
tra_00659
[{"role": "user", "question": "<image>Lines $l$, $m$, and $n$ are perpendicular bisectors of $\\triangle PQR$ and meet at $T$. If $TQ = 2x$, $PT = 3y - 1$, and $TR = 8$, find $x$.", "hint": "", "options": {}, "choices": []}]
4
numeric
tra_00660
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
7 \sqrt { 3 }
open
tra_00661
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
99
numeric
tra_00662
[{"role": "user", "question": "<image>Find $x$ if $\\overline{MS}$ is an altitude of $\\triangle MNQ$, $m\\angle 1 = 3x + 11$, and $m \\angle 2 = 7x + 9$.", "hint": "", "options": {}, "choices": []}]
7
numeric
tra_00663
[{"role": "user", "question": "<image>Find $z$ in the figure.", "hint": "", "options": {}, "choices": []}]
42
numeric
tra_00664
[{"role": "user", "question": "<image>$\\triangle PQS \\cong \\triangle RQS$. Find $y$.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_00665
[{"role": "user", "question": "<image>$P$ is the incenter of $\\angle XYZ$. Find $m \\angle LZP$.", "hint": "", "options": {}, "choices": []}]
32
numeric
tra_00666
[{"role": "user", "question": "<image>The pair of polygons is similar. Find AB", "hint": "", "options": {}, "choices": []}]
4
numeric
tra_00667
[{"role": "user", "question": "<image>isosceles trapezoid TWYZ with $\\angle Z \\cong \\angle Y, m \\angle Z=30 x$, $\\angle T \\cong \\angle W,$ and $m \\angle T=20 x$, find $\\angle T$", "hint": "", "options": {}, "choices": []}]
72
numeric
tra_00668
[{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}]
6 \sqrt { 2 }
open
tra_00669
[{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}]
\frac { 2 } { 3 } \sqrt { 5 }
open
tra_00670
[{"role": "user", "question": "<image>$\\overline{E C}$ and $\\overline{A B}$ are diameters of $\\odot O$. Find its measure of $\\widehat{ACE}$.", "hint": "", "options": {}, "choices": []}]
270
numeric
tra_00671
[{"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 $m\\widehat{A C B}$", "hint": "", "options": {}, "choices": []}]
180
numeric
tra_00672
[{"role": "user", "question": "<image>Find BD", "hint": "", "options": {}, "choices": []}]
1.8
numeric
tra_00673
[{"role": "user", "question": "<image>If $m \\widehat{F E}=118, m \\widehat{A B}=108$, $m \\angle E G B=52,$ and $m \\angle E F B=30$\r\nFind $m \\widehat{A C}$", "hint": "", "options": {}, "choices": []}]
30
numeric
tra_00674
[{"role": "user", "question": "<image> The diagonals of rectangle $A B C D$ each have a length of 56 feet. If $m \\angle B A C=42^{\\circ}$, what is the length of $\\overline{A B}$ to the nearest tenth of a foot?", "hint": "", "options": {}, "choices": []}]
41.6
numeric
tra_00675
[{"role": "user", "question": "<image>In $\\triangle PQR$, $\\overline{ST} \\| \\overline{R Q}$ . If $PT=7.5$, $TQ=3$, and $SR=2.5$, find $PS$.", "hint": "", "options": {}, "choices": []}]
6.25
numeric
tra_00676
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
7
numeric
tra_00677
[{"role": "user", "question": "<image>Find the area of the regular polygon. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
212.1
numeric
tra_00678
[{"role": "user", "question": "<image>The area of $▱ A B C D$ is 150 square meters. The area of $▱ F G H J$ is 54 square meters. If $▱ A B C D \\sim ▱ F G H J$, find the scale factor of $▱ F G H J$ to $▱ A B C D$.", "hint": "", "options": {}, "choices": []}]
\frac { 3 } { 5 }
open
tra_00679
[{"role": "user", "question": "<image>Quadrilateral ABCD is a rectangle. Find y", "hint": "", "options": {}, "choices": []}]
5
numeric
tra_00680
[{"role": "user", "question": "<image>In the figure, $a ∥ b, c ∥ d$, and $m∠4 = 57$. Find the measure of $\\angle 8$.", "hint": "", "options": {}, "choices": []}]
57
numeric
tra_00681
[{"role": "user", "question": "<image>Use parallelogram to find $y$", "hint": "", "options": {}, "choices": []}]
5
numeric
tra_00682
[{"role": "user", "question": "<image>If $\\frac{I J}{X J}=\\frac{HJ}{YJ}, m \\angle W X J=130$\r\nand $m \\angle WZG=20,$ find $m \\angle JHI$", "hint": "", "options": {}, "choices": []}]
70
numeric
tra_00683
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
30
numeric
tra_00684
[{"role": "user", "question": "<image>Find x. Round to the nearest tenth, if necessary.", "hint": "", "options": {}, "choices": []}]
15
numeric
tra_00685
[{"role": "user", "question": "<image>$UJ=9, VJ=3$, and $ZT=18$. Find $ZJ$.", "hint": "", "options": {}, "choices": []}]
12
numeric
tra_00686
[{"role": "user", "question": "<image>Find the area of the triangle. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_00687
[{"role": "user", "question": "<image>For the pair of similar figures, use the given areas to find the scale factor of the blue to the green figure. ", "hint": "", "options": {}, "choices": []}]
\frac { 6 } { 5 }
open
tra_00688
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
3
numeric
tra_00689
[{"role": "user", "question": "<image>$JKMN$ is a rectangle. If $NQ=2x+3$ and $QK=5x-9$, find $JQ$.", "hint": "", "options": {}, "choices": []}]
11
numeric
tra_00690
[{"role": "user", "question": "<image>Find the perimeter of the $\\triangle A B C,$ if $\\triangle A B C \\sim \\triangle C B D, A D=5$, $C D=12,$ and $B C=31.2$", "hint": "", "options": {}, "choices": []}]
78
numeric
tra_00691
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
4185
numeric
tra_00692
[{"role": "user", "question": "<image>Find $m \\angle 2$.", "hint": "", "options": {}, "choices": []}]
59
numeric
tra_00693
[{"role": "user", "question": "<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\\angle ABD = 55$ . Find $m\\angle BDA$", "hint": "", "options": {}, "choices": []}]
55
numeric
tra_00694
[{"role": "user", "question": "<image>Find y in the figure.", "hint": "", "options": {}, "choices": []}]
40
numeric
tra_00695
[{"role": "user", "question": "<image>If WXYZ is a kite, find $m\\angle Z$", "hint": "", "options": {}, "choices": []}]
75
numeric
tra_00696
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
7
numeric
tra_00697
[{"role": "user", "question": "<image>Find $m\\angle T$", "hint": "", "options": {}, "choices": []}]
46
numeric
tra_00698
[{"role": "user", "question": "<image>Each pair of polygons is similar. Find x", "hint": "", "options": {}, "choices": []}]
27
numeric
tra_00699
[{"role": "user", "question": "<image>Find $SR$.", "hint": "", "options": {}, "choices": []}]
24
numeric