id stringlengths 9 9 | media images listlengths 1 1 | messages stringlengths 89 312 | answer stringlengths 1 34 | question_type stringclasses 2
values |
|---|---|---|---|---|
tra_00900 | [{"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 value of $x$.", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_00901 | [{"role": "user", "question": "<image>$\\overline{AB}$ is tangent to the circle. Find $x$. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 6.1 | numeric | |
tra_00902 | [{"role": "user", "question": "<image>In the figure, $m∠1 = 123$. Find the measure of $\\angle 4$.", "hint": "", "options": {}, "choices": []}] | 57 | numeric | |
tra_00903 | [{"role": "user", "question": "<image>In $\\odot X, A B=30, C D=30,$ and $m \\widehat{C Z}=40$\r\nFind MB", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_00904 | [{"role": "user", "question": "<image>Find $DE$.", "hint": "", "options": {}, "choices": []}] | 7.5 | numeric | |
tra_00905 | [{"role": "user", "question": "<image>Quadrilateral EFGH is a rectangle. If $m\\angle FEG = 57$, find $m\\angle GEH$.", "hint": "", "options": {}, "choices": []}] | 33 | numeric | |
tra_00906 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_00907 | [{"role": "user", "question": "<image>If $ABCD$ is a kite, find $AB$", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_00908 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_00909 | [{"role": "user", "question": "<image>Use parallelogram ABCD to find $m\\angle AFB$", "hint": "", "options": {}, "choices": []}] | 131 | numeric | |
tra_00910 | [{"role": "user", "question": "<image>If $WZ=25.3$, $YZ=22.4$, $WZ=25.3$, find $XY$.", "hint": "", "options": {}, "choices": []}] | 22.4 | numeric | |
tra_00911 | [{"role": "user", "question": "<image>Find the value of the variable $y$ in the figure.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_00912 | [{"role": "user", "question": "<image>In $\\odot R, S U=20, Y W=20,$ and $m \\widehat{Y X}=45$.\r\nFind SV", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_00913 | [{"role": "user", "question": "<image>parallelogram MNPQ with $m \\angle M=10 x$ and $m \\angle N=20 x$, find $\\angle Q$", "hint": "", "options": {}, "choices": []}] | 120 | numeric | |
tra_00914 | [{"role": "user", "question": "<image>Quadrilateral $RSTU$ is circumscribed about $\\odot J$. If the preimeter is $18$ units, find $x$.", "hint": "", "options": {}, "choices": []}] | 1.5 | numeric | |
tra_00915 | [{"role": "user", "question": "<image>If TR = 8, LR = 3, and RW = 6, find WS.", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_00916 | [{"role": "user", "question": "<image>Find z.", "hint": "", "options": {}, "choices": []}] | \frac { 22 } { 5 } | open | |
tra_00917 | [{"role": "user", "question": "<image>The triangle is inscribed in $\\odot D$. Find the exact circumference of $\\odot D$.", "hint": "", "options": {}, "choices": []}] | 4 \sqrt { 13 } \pi | open | |
tra_00918 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth, if necessary.", "hint": "", "options": {}, "choices": []}] | 5.3 | numeric | |
tra_00919 | [{"role": "user", "question": "<image>Find PQ", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_00920 | [{"role": "user", "question": "<image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_00921 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 58 | numeric | |
tra_00922 | [{"role": "user", "question": "<image>$\\overline{RS}$ bisects $\\angle VRU$. Solve for $x$.", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_00923 | [{"role": "user", "question": "<image>Find $m \\angle 2$.", "hint": "", "options": {}, "choices": []}] | 110 | numeric | |
tra_00924 | [{"role": "user", "question": "<image>Find $x$", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_00925 | [{"role": "user", "question": "<image>Find x. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 3.8 | numeric | |
tra_00926 | [{"role": "user", "question": "<image>Find $m \\widehat {CF}$.", "hint": "", "options": {}, "choices": []}] | 80 | numeric | |
tra_00927 | [{"role": "user", "question": "<image>If $b=18,$ find $c$ ", "hint": "", "options": {}, "choices": []}] | 12 \sqrt { 3 } | open | |
tra_00928 | [{"role": "user", "question": "<image>$\\triangle FGH$ is an equilateral triangle. Find $FG$.", "hint": "", "options": {}, "choices": []}] | 19 | numeric | |
tra_00929 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 259.8 | numeric | |
tra_00930 | [{"role": "user", "question": "<image>Find $y$ in the figure.", "hint": "", "options": {}, "choices": []}] | 90 | numeric | |
tra_00931 | [{"role": "user", "question": "<image>If $\\overline{W P}$ is a median and an angle bisector, $A P=3 y+11$, $P H=7 y-5$, $m \\angle H W P=x+12$, $m \\angle P A W=3 x-2$, and $m \\angle H W A=4 x-16$, find $x$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00932 | [{"role": "user", "question": "<image>In $\\triangle JLP$, $m \\angle JMP=3 x-6$, $JK=3y-2$, and $LK=5y-8$. If $\\overline{JM}$ is an altitude of $\\triangle JLP$, find $x$.\r\n", "hint": "", "options": {}, "choices": []}] | 32 | numeric | |
tra_00933 | [{"role": "user", "question": "<image>Find $\\angle 7$", "hint": "", "options": {}, "choices": []}] | 98 | numeric | |
tra_00934 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest hundredth, if necessary.", "hint": "", "options": {}, "choices": []}] | 68.6 | numeric | |
tra_00935 | [{"role": "user", "question": "<image>Find z", "hint": "", "options": {}, "choices": []}] | 10 \sqrt { 2 } | open | |
tra_00936 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 117 | numeric | |
tra_00937 | [{"role": "user", "question": "<image>If PR || KL, KN = 9, LN = 16, PM = 2 KP, find MR ", "hint": "", "options": {}, "choices": []}] | 40 / 3 | open | |
tra_00938 | [{"role": "user", "question": "<image>Find $m \\angle 2$.", "hint": "", "options": {}, "choices": []}] | 75 | numeric | |
tra_00939 | [{"role": "user", "question": "<image>Find $y$ in the figure.", "hint": "", "options": {}, "choices": []}] | 11 | numeric | |
tra_00940 | [{"role": "user", "question": "<image>Find $m \\angle 7$.", "hint": "", "options": {}, "choices": []}] | 53 | numeric | |
tra_00941 | [{"role": "user", "question": "<image>Find the value of x.", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_00942 | [{"role": "user", "question": "<image>For the pair of similar figures, find the area of the green figure.", "hint": "", "options": {}, "choices": []}] | 81 | numeric | |
tra_00943 | [{"role": "user", "question": "<image>The two circles are congruent. Find $x$.", "hint": "", "options": {}, "choices": []}] | 16 | numeric | |
tra_00944 | [{"role": "user", "question": "<image>In parallelogram $ABCD$, $\\overline{BD}$ and $\\overline{AC}$ intersect at $E$. If $AE = 9$, $BE = 3x - 7$, and $DE = x + 5$, find $x$.", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_00945 | [{"role": "user", "question": "<image>$\\overline{JH}, \\overline{JP},$ and $\\overline{PH}$ are midsegments of $\\triangle KLM$. Find $x$.", "hint": "", "options": {}, "choices": []}] | 60 | numeric | |
tra_00946 | [{"role": "user", "question": "<image>Find the measure of $x$.", "hint": "", "options": {}, "choices": []}] | 0.5 | numeric | |
tra_00947 | [{"role": "user", "question": "<image>$m∠19 = 100 + 20x$, $m∠20 = 20x $. Find the measure of $\\angle 19$.", "hint": "", "options": {}, "choices": []}] | 140 | numeric | |
tra_00948 | [{"role": "user", "question": "<image>find cos B", "hint": "", "options": {}, "choices": []}] | \frac { 5 } { 7 } | open | |
tra_00949 | [{"role": "user", "question": "<image>$\\overline{XY}$ and $\\overline{XZ}$ are midsegments of $\\triangle RST$. Find $XZ$.", "hint": "", "options": {}, "choices": []}] | 6.5 | numeric | |
tra_00950 | [{"role": "user", "question": "<image>Find $m\\angle Z X Y$", "hint": "", "options": {}, "choices": []}] | 65 | numeric | |
tra_00951 | [{"role": "user", "question": "<image>Find $m \\angle 1$.", "hint": "", "options": {}, "choices": []}] | 66 | numeric | |
tra_00952 | [{"role": "user", "question": "<image>Find the perimeter of the given triangle. $\\triangle A B C,$ if $\\triangle A B C \\sim \\triangle C B D, C D=4$, $D B=3,$ and $C B=5$.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_00953 | [{"role": "user", "question": "<image>Find the perimeter of quadrilateral ABCD.", "hint": "", "options": {}, "choices": []}] | 40 + 14 \sqrt { 2 } | open | |
tra_00954 | [{"role": "user", "question": "<image>Find $y$ so that the quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_00955 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_00956 | [{"role": "user", "question": "<image>Find DE", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_00957 | [{"role": "user", "question": "<image>$\\triangle PQS \\cong \\triangle RQS$. Find $x$.", "hint": "", "options": {}, "choices": []}] | 16 | numeric | |
tra_00958 | [{"role": "user", "question": "<image>Chords $\\overline{A C}$ and $\\overline{D F}$ are equidistant from the center. If the radius of $\\odot G$ is 26 find $D E$", "hint": "", "options": {}, "choices": []}] | 24 | numeric | |
tra_00959 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 19 | numeric | |
tra_00960 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 129.9 | numeric | |
tra_00961 | [{"role": "user", "question": "<image>Find $h$.", "hint": "", "options": {}, "choices": []}] | 15 \sqrt 3 | open | |
tra_00962 | [{"role": "user", "question": "<image>Find $m\\angle 2$", "hint": "", "options": {}, "choices": []}] | 130 | numeric | |
tra_00963 | [{"role": "user", "question": "<image>Find $JL$.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_00964 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 57.2 | numeric | |
tra_00965 | [{"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 $\\angle W$", "hint": "", "options": {}, "choices": []}] | 72 | numeric | |
tra_00966 | [{"role": "user", "question": "<image>Express the ratio of $\\tan B$ as a decimal to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 2.40 | numeric | |
tra_00967 | [{"role": "user", "question": "<image>Find $CB$.", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_00968 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 2 \sqrt { 10 } | open | |
tra_00969 | [{"role": "user", "question": "<image>If $\\frac{I J}{X J}=\\frac{HJ}{YJ}, m \\angle W X J=130$, and $m \\angle WZG=20,$ find $m \\angle JHG$", "hint": "", "options": {}, "choices": []}] | 110 | numeric | |
tra_00970 | [{"role": "user", "question": "<image>Quadrilateral $ABCD$ is a rhombus. If $m\\angle BCD = 54$, find $m\\angle BAC$.", "hint": "", "options": {}, "choices": []}] | 27 | numeric | |
tra_00971 | [{"role": "user", "question": "<image>Polygon $BCDE$ $\\cong$ polygon $RSTU$. Find $y$.", "hint": "", "options": {}, "choices": []}] | 42 | numeric | |
tra_00972 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 70 | numeric | |
tra_00973 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 13 | numeric | |
tra_00974 | [{"role": "user", "question": "<image>In the figure, $m ∠1 = 53$. Find the measure of $∠3$.", "hint": "", "options": {}, "choices": []}] | 53 | numeric | |
tra_00975 | [{"role": "user", "question": "<image>Solve for $x$.", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_00976 | [{"role": "user", "question": "<image>Find $m\\angle C$", "hint": "", "options": {}, "choices": []}] | 128 | numeric | |
tra_00977 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_00978 | [{"role": "user", "question": "<image>Find the perimeter of the triangle. Round to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 28.52 | numeric | |
tra_00979 | [{"role": "user", "question": "<image> $m \\widehat{G H}=78$ Find $m\\angle 1$", "hint": "", "options": {}, "choices": []}] | 39 | numeric | |
tra_00980 | [{"role": "user", "question": "<image>Quadrilateral WXYZ is a rectangle. If $XW = 3$, $WZ = 4$, and $XZ = b$, find $YW$. ", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_00981 | [{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}] | 2 | numeric | |
tra_00982 | [{"role": "user", "question": "<image>Find $z$.", "hint": "", "options": {}, "choices": []}] | 10 \sqrt { 5 } | open | |
tra_00983 | [{"role": "user", "question": "<image>Find $m\\angle 2$.", "hint": "", "options": {}, "choices": []}] | 151 | numeric | |
tra_00984 | [{"role": "user", "question": "<image>Use parallelogram to find $y$", "hint": "", "options": {}, "choices": []}] | 17 | numeric | |
tra_00985 | [{"role": "user", "question": "<image>Find $JM$.", "hint": "", "options": {}, "choices": []}] | 5.5 | numeric | |
tra_00986 | [{"role": "user", "question": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 19.2 | numeric | |
tra_00987 | [{"role": "user", "question": "<image>Use parallelogram WXYZ to find $m\\angle WZY$", "hint": "", "options": {}, "choices": []}] | 75 | numeric | |
tra_00988 | [{"role": "user", "question": "<image>Find the perimeter of $\\triangle D E F,$ if $\\triangle D E F \\sim \\triangle A C B$", "hint": "", "options": {}, "choices": []}] | 42 | numeric | |
tra_00989 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_00990 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 474 | numeric | |
tra_00991 | [{"role": "user", "question": "<image>If $m \\angle S=3x$ and $m \\angle V=x+16$, find $m \\angle S$.", "hint": "", "options": {}, "choices": []}] | 24 | numeric | |
tra_00992 | [{"role": "user", "question": "<image>Find the value of $x$ in each diagram", "hint": "", "options": {}, "choices": []}] | 52 | numeric | |
tra_00993 | [{"role": "user", "question": "<image>Find $BE$.", "hint": "", "options": {}, "choices": []}] | 2.1 | numeric | |
tra_00994 | [{"role": "user", "question": "<image>Find $m \\angle S$.", "hint": "", "options": {}, "choices": []}] | 66 | numeric | |
tra_00995 | [{"role": "user", "question": "<image>Use rectangle LMNP, parallelogram LKMJ to solve the problem.\r\nIf $M K=6 x, K L=3 x+2 y,$ and $J N=14-x$\r\nfind $y$", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_00996 | [{"role": "user", "question": "<image>Find $E H$ if $\\triangle A B C \\sim \\triangle D E F, \\overline{B G}$ is an altitude of $\\triangle A B C, \\overline{E H}$ is an altitude of $\\triangle D E F, B G=3$, $B F=4, F C=2,$ and $C E=1$", "hint": "", "options": {}, "choices": []}] | \frac { 3 } { 2 } | open | |
tra_00997 | [{"role": "user", "question": "<image>In the figure, $ m ∠1 = 3a + 40 $, $ m ∠2 = 2a + 25 $, and $ m ∠3 = 5b - 26 $. Find $b$.", "hint": "", "options": {}, "choices": []}] | 27 | numeric | |
tra_00998 | [{"role": "user", "question": "<image>Find y", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_00999 | [{"role": "user", "question": "<image>Quadrilateral ABCD is a rectangle. $m\\angle 2 = 40$. Find $m \\angle 7$", "hint": "", "options": {}, "choices": []}] | 40 | numeric |
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