id
stringlengths
9
9
media
images listlengths
1
1
messages
stringlengths
89
312
answer
stringlengths
1
34
question_type
stringclasses
2 values
tra_01800
[{"role": "user", "question": "<image>If $AB=6,BC=4$, and $AE=9$, find $ED$.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_01801
[{"role": "user", "question": "<image>Find $m \\angle 1$.", "hint": "", "options": {}, "choices": []}]
123
numeric
tra_01802
[{"role": "user", "question": "<image>Find $m \\angle JMK$.", "hint": "", "options": {}, "choices": []}]
102
numeric
tra_01803
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
22
numeric
tra_01804
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
310
numeric
tra_01805
[{"role": "user", "question": "<image>In the right triangle, what is $A B$ if $B C=6 ?$", "hint": "", "options": {}, "choices": []}]
4 \sqrt { 3 }
open
tra_01806
[{"role": "user", "question": "<image>Find $m \\angle C G D$", "hint": "", "options": {}, "choices": []}]
150
numeric
tra_01807
[{"role": "user", "question": "<image>Find $y$ so that the quadrilateral is a parallelogram", "hint": "", "options": {}, "choices": []}]
41
numeric
tra_01808
[{"role": "user", "question": "<image>If XN = t - 2, NZ = t + 1, XM = 2, and XY = 10, solve for t", "hint": "", "options": {}, "choices": []}]
3
numeric
tra_01809
[{"role": "user", "question": "<image>Find $m\\angle D$", "hint": "", "options": {}, "choices": []}]
74
numeric
tra_01810
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_01811
[{"role": "user", "question": "<image>Find $m \\angle DAB$.", "hint": "", "options": {}, "choices": []}]
125
numeric
tra_01812
[{"role": "user", "question": "<image>Find the measure of $\\angle 3$ in the figure.", "hint": "", "options": {}, "choices": []}]
25
numeric
tra_01813
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
127
numeric
tra_01814
[{"role": "user", "question": "<image>Find $LN$.", "hint": "", "options": {}, "choices": []}]
29
numeric
tra_01815
[{"role": "user", "question": "<image>Find x. Assume that any segment that appears to be tangent is tangent.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_01816
[{"role": "user", "question": "<image>Each pair of polygons is similar. Find BC", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_01817
[{"role": "user", "question": "<image>The degree measures of minor arc $\\widehat{A C}$ and major arc $\\widehat{A D C}$ are $x$ and $y$ respectively. If $m∠ABC = 70°$, find $y$.", "hint": "", "options": {}, "choices": []}]
250
numeric
tra_01818
[{"role": "user", "question": "<image>Find $h$.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_01819
[{"role": "user", "question": "<image>Find the measure of $m∠C$.", "hint": "", "options": {}, "choices": []}]
70
numeric
tra_01820
[{"role": "user", "question": "<image>Find $m \\angle MRP$.", "hint": "", "options": {}, "choices": []}]
60
numeric
tra_01821
[{"role": "user", "question": "<image>Find $F B$ if $\\overline{S A}$ and $\\overline{F B}$ are altitudes and $\\triangle R S T \\sim \\triangle E F G$", "hint": "", "options": {}, "choices": []}]
2
numeric
tra_01822
[{"role": "user", "question": "<image>WXYZ is a square. If $WT = 3$, Find $XY$", "hint": "", "options": {}, "choices": []}]
3 \sqrt { 2 }
open
tra_01823
[{"role": "user", "question": "<image>Find x. Round side measures to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
22.8
numeric
tra_01824
[{"role": "user", "question": "<image>Find $QR$.", "hint": "", "options": {}, "choices": []}]
25
numeric
tra_01825
[{"role": "user", "question": "<image>Find $m \\angle 1$.", "hint": "", "options": {}, "choices": []}]
55
numeric
tra_01826
[{"role": "user", "question": "<image>In $\\odot G, m \\angle A G B=30$ and $\\overline{C G} \\perp \\overline{G D}$.\r\nFind $m \\widehat{F D}$", "hint": "", "options": {}, "choices": []}]
30
numeric
tra_01827
[{"role": "user", "question": "<image>Find $m \\angle SRT$.", "hint": "", "options": {}, "choices": []}]
65
numeric
tra_01828
[{"role": "user", "question": "<image>Find AB", "hint": "", "options": {}, "choices": []}]
3.6
numeric
tra_01829
[{"role": "user", "question": "<image>Each triangle in the figure is a $30^{\\circ}-60^{\\circ}-90^{\\circ}$ triangle. Find $x$", "hint": "", "options": {}, "choices": []}]
2.25
numeric
tra_01830
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
70.9
numeric
tra_01831
[{"role": "user", "question": "<image>A regular hexagon is inscribed in a circle with a diameter of 14. Find the area of the red segment.", "hint": "", "options": {}, "choices": []}]
4.44
numeric
tra_01832
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
72
numeric
tra_01833
[{"role": "user", "question": "<image>$\\odot J \\cong \\odot K$ and $\\widehat {MN} \\cong \\widehat {PQ}$. Find $PQ$.", "hint": "", "options": {}, "choices": []}]
17
numeric
tra_01834
[{"role": "user", "question": "<image>Find $YZ$.", "hint": "", "options": {}, "choices": []}]
4
numeric
tra_01835
[{"role": "user", "question": "<image>Find $z$ in the figure.", "hint": "", "options": {}, "choices": []}]
22
numeric
tra_01836
[{"role": "user", "question": "<image>Find $VS$.", "hint": "", "options": {}, "choices": []}]
20
numeric
tra_01837
[{"role": "user", "question": "<image>Find the angle measure of $\\angle4$.", "hint": "", "options": {}, "choices": []}]
52
numeric
tra_01838
[{"role": "user", "question": "<image>Find $m\\angle P$", "hint": "", "options": {}, "choices": []}]
120
numeric
tra_01839
[{"role": "user", "question": "<image>Find the area of the regular polygon. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
62.4
numeric
tra_01840
[{"role": "user", "question": "<image>Find x. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}]
10
numeric
tra_01841
[{"role": "user", "question": "<image>Find $y$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_01842
[{"role": "user", "question": "<image>$a=8, b=15,$ and $c=17$ find $cosB$", "hint": "", "options": {}, "choices": []}]
0.47
numeric
tra_01843
[{"role": "user", "question": "<image>In $\\odot F$, if $DA=7.4$, what is $EF$?", "hint": "", "options": {}, "choices": []}]
3.7
numeric
tra_01844
[{"role": "user", "question": "<image>Refer to the figure at the right. Find the value of $y$ if $ p \\parallel q $.", "hint": "", "options": {}, "choices": []}]
105
numeric
tra_01845
[{"role": "user", "question": "<image>Find $m \\widehat {PM}$.", "hint": "", "options": {}, "choices": []}]
144
numeric
tra_01846
[{"role": "user", "question": "<image>Find x. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}]
17.7
numeric
tra_01847
[{"role": "user", "question": "<image>Find $m \\angle 4$.", "hint": "", "options": {}, "choices": []}]
15
numeric
tra_01848
[{"role": "user", "question": "<image>Use parallelogram NQRM to find w", "hint": "", "options": {}, "choices": []}]
12
numeric
tra_01849
[{"role": "user", "question": "<image>Find $x$ so that the quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
4
numeric
tra_01850
[{"role": "user", "question": "<image>Find $x$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
8
numeric
tra_01851
[{"role": "user", "question": "<image>$H$ is the incenter of $\\triangle ABC$. Find $DH$.", "hint": "", "options": {}, "choices": []}]
7
numeric
tra_01852
[{"role": "user", "question": "<image>Find the measure of $\\angle 2$ if $m∠DGF = 53$ and $m∠AGC = 40$.", "hint": "", "options": {}, "choices": []}]
50
numeric
tra_01853
[{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
3108
numeric
tra_01854
[{"role": "user", "question": "<image>Find $y$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
7
numeric
tra_01855
[{"role": "user", "question": "<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \\angle 13$.", "hint": "", "options": {}, "choices": []}]
64
numeric
tra_01856
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
10
numeric
tra_01857
[{"role": "user", "question": "<image>Find the measure of $ \\angle 4 $ if $l \\parallel m$ and $m \\angle 1 = 105$.", "hint": "", "options": {}, "choices": []}]
75
numeric
tra_01858
[{"role": "user", "question": "<image>In rhombus LMPQ, $m \\angle Q L M=2 x^{2}-10$, $m \\angle Q P M=8 x$, and $M P=10$ . \r\nFind $m \\angle L P Q$", "hint": "", "options": {}, "choices": []}]
20
numeric
tra_01859
[{"role": "user", "question": "<image>Points $S$, $T$, and $U$ are the midpoints of $\\overline{DE}$, $\\overline{EF}$, and $\\overline{DF}$, respectively. Find $z$.", "hint": "", "options": {}, "choices": []}]
0.575
numeric
tra_01860
[{"role": "user", "question": "<image>Find $x$ so that the quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}]
40
numeric
tra_01861
[{"role": "user", "question": "<image>Find $m \\angle AEB$.", "hint": "", "options": {}, "choices": []}]
109
numeric
tra_01862
[{"role": "user", "question": "<image>In $\\odot T, Z V=1,$ and $T W=13$. Find XV", "hint": "", "options": {}, "choices": []}]
5
numeric
tra_01863
[{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
29.2
numeric
tra_01864
[{"role": "user", "question": "<image>Use parallelogram to find $z$", "hint": "", "options": {}, "choices": []}]
2
numeric
tra_01865
[{"role": "user", "question": "<image>In $\\odot F$, $GK=14$ and $m \\widehat{GHK}=142$. Find $JK$.", "hint": "", "options": {}, "choices": []}]
7
numeric
tra_01866
[{"role": "user", "question": "<image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.", "hint": "", "options": {}, "choices": []}]
284.0
numeric
tra_01867
[{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}]
107
numeric
tra_01868
[{"role": "user", "question": "<image>$\\overline{GJ}$ is a diameter of $\\odot K$. Find $m \\widehat {GH}$.", "hint": "", "options": {}, "choices": []}]
122
numeric
tra_01869
[{"role": "user", "question": "<image>Find $m \\angle ACD$.", "hint": "", "options": {}, "choices": []}]
44
numeric
tra_01870
[{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}]
6
numeric
tra_01871
[{"role": "user", "question": "<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \\angle 4$.", "hint": "", "options": {}, "choices": []}]
64
numeric
tra_01872
[{"role": "user", "question": "<image>Find $XA$.", "hint": "", "options": {}, "choices": []}]
4
numeric
tra_01873
[{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
338.4
numeric
tra_01874
[{"role": "user", "question": "<image>For the pair of similar figures, use the given areas to find $x$.", "hint": "", "options": {}, "choices": []}]
35
numeric
tra_01875
[{"role": "user", "question": "<image>Find x. Assume that segments that appear to be tangent are tangent. ", "hint": "", "options": {}, "choices": []}]
15
numeric
tra_01876
[{"role": "user", "question": "<image>In $\\triangle ABC$, $\\overline{AD}$ and $\\overline{DC}$ are angle bisectors and $m \\angle B=76$. What is the measure of $\\angle ADC $?", "hint": "", "options": {}, "choices": []}]
128
numeric
tra_01877
[{"role": "user", "question": "<image>Find $\\angle W$", "hint": "", "options": {}, "choices": []}]
134
numeric
tra_01878
[{"role": "user", "question": "<image>The area $A$ of the shaded region is given. Find $x$. $A = 128$ ft$^2$ .", "hint": "", "options": {}, "choices": []}]
9.8
numeric
tra_01879
[{"role": "user", "question": "<image>Find the ratio of the area of $ \\triangle ABC$ to the area of square $BCDE$.", "hint": "", "options": {}, "choices": []}]
\frac { \sqrt 3 } { 4 } : 1
open
tra_01880
[{"role": "user", "question": "<image>Quadrilateral MNOP is a rectangle. If $M O=6 x+14$ and $P N=9 x+5,$ find $x$", "hint": "", "options": {}, "choices": []}]
3
numeric
tra_01881
[{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}]
28
numeric
tra_01882
[{"role": "user", "question": "<image>$MC=7,RM=4$, and $AT=16$. Find $SC$.", "hint": "", "options": {}, "choices": []}]
10.5
numeric
tra_01883
[{"role": "user", "question": "<image>Find $m \\angle Y$.", "hint": "", "options": {}, "choices": []}]
60
numeric
tra_01884
[{"role": "user", "question": "<image>Find the value of x.", "hint": "", "options": {}, "choices": []}]
95
numeric
tra_01885
[{"role": "user", "question": "<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}]
80.0
numeric
tra_01886
[{"role": "user", "question": "<image>Find $\\sin x$", "hint": "", "options": {}, "choices": []}]
\frac { 2 \sqrt { 2 } } { 5 }
open
tra_01887
[{"role": "user", "question": "<image>Suppose $C E=5.2$ inches. Find the diameter of the circle.", "hint": "", "options": {}, "choices": []}]
10.4
numeric
tra_01888
[{"role": "user", "question": "<image>Use the Pythagorean Theorem to find the length of the hypotenuse of each right triangle.", "hint": "", "options": {}, "choices": []}]
\sqrt { 34 }
open
tra_01889
[{"role": "user", "question": "<image>Find the measure of the altitude drawn to the hypotenuse.", "hint": "", "options": {}, "choices": []}]
\sqrt { 147 }
open
tra_01890
[{"role": "user", "question": "<image>Find WX", "hint": "", "options": {}, "choices": []}]
10
numeric
tra_01891
[{"role": "user", "question": "<image>Find the perimeter of each polygon for the given information.\r\n$S T=18,$ radius of $\\odot P=5$", "hint": "", "options": {}, "choices": []}]
58.5
numeric
tra_01892
[{"role": "user", "question": "<image>Find $m \\angle 1$.", "hint": "", "options": {}, "choices": []}]
26
numeric
tra_01893
[{"role": "user", "question": "<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\\angle 12$.", "hint": "", "options": {}, "choices": []}]
118
numeric
tra_01894
[{"role": "user", "question": "<image>The segment is tangent to the circle. Find $x$.", "hint": "", "options": {}, "choices": []}]
1
numeric
tra_01895
[{"role": "user", "question": "<image>Find y.", "hint": "", "options": {}, "choices": []}]
10 \sqrt { 5 }
open
tra_01896
[{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}]
4 \sqrt { 74 }
open
tra_01897
[{"role": "user", "question": "<image>$m \\angle B=76$. The measure of $\\angle A$ is half the measure of $\\angle B$. What is $m \\angle C$?", "hint": "", "options": {}, "choices": []}]
66
numeric
tra_01898
[{"role": "user", "question": "<image>In $\\triangle PQR$, $ZQ=3a-11$, $ZP=a+5$, $PY=2 c-1$, $YR=4 c-11$, $m \\angle PRZ=4 b-17$, $m \\angle ZRQ=3 b-4$, $m \\angle QYR=7 b+6$, and $m \\angle PXR=2 a+10$. $\\overline{PX}$ is an altitude of $ \\triangle PQR$. Find $a$.", "hint": "", "options": {}, "choices": []}]
40
numeric
tra_01899
[{"role": "user", "question": "<image>If CDFG is a kite, find $m\\angle D$", "hint": "", "options": {}, "choices": []}]
122
numeric