id stringlengths 9 9 | media images listlengths 1 1 | messages stringlengths 89 312 | answer stringlengths 1 34 | question_type stringclasses 2
values |
|---|---|---|---|---|
tra_01900 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 2 | numeric | |
tra_01901 | [{"role": "user", "question": "<image>In $\\odot F$, $GK=14$ and $m \\widehat{GHK}=142$. Find $m \\widehat {KM}$.", "hint": "", "options": {}, "choices": []}] | 109 | numeric | |
tra_01902 | [{"role": "user", "question": "<image>Find x. Round the side measure to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 8.3 | numeric | |
tra_01903 | [{"role": "user", "question": "<image>Find the perimeter of the triangle.", "hint": "", "options": {}, "choices": []}] | 100.4 | numeric | |
tra_01904 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 3 \sqrt { 29 } | open | |
tra_01905 | [{"role": "user", "question": "<image>Each pair of polygons is similar. Find CE", "hint": "", "options": {}, "choices": []}] | 11.4 | numeric | |
tra_01906 | [{"role": "user", "question": "<image>Find $RS$.", "hint": "", "options": {}, "choices": []}] | 31 | numeric | |
tra_01907 | [{"role": "user", "question": "<image>Find the value of $s$ in the parallelogram.", "hint": "", "options": {}, "choices": []}] | 13 | numeric | |
tra_01908 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 12.0 | numeric | |
tra_01909 | [{"role": "user", "question": "<image>For the pair of similar figures, find the area of the green figure.", "hint": "", "options": {}, "choices": []}] | 12.5 | numeric | |
tra_01910 | [{"role": "user", "question": "<image>Find x. Round side measures to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 35.1 | numeric | |
tra_01911 | [{"role": "user", "question": "<image>Find $x$ if $\\triangle JMN$ is an isosceles triangle with $\\overline{JM} \\cong \\overline{M N}$.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_01912 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 39.8 | numeric | |
tra_01913 | [{"role": "user", "question": "<image>$\\Delta DFG$ and $\\Delta F G H$ are isosceles, $m \\angle FDH=28$ and$\\overline{DG} \\cong \\overline{FG} \\cong \\overline{FH}$. Find the measure of $\\angle DFG$. ", "hint": "", "options": {}, "choices": []}] | 28 | numeric | |
tra_01914 | [{"role": "user", "question": "<image>Use parallelogram to find $x$", "hint": "", "options": {}, "choices": []}] | 79 | numeric | |
tra_01915 | [{"role": "user", "question": "<image>If $\\overline{TU} \\perp \\overline{UV}$ and $\\overline{UV} \\perp \\overline{VW}$, find $m \\angle 1$.", "hint": "", "options": {}, "choices": []}] | 45 | numeric | |
tra_01916 | [{"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 $m \\angle SUV$", "hint": "", "options": {}, "choices": []}] | 47 | numeric | |
tra_01917 | [{"role": "user", "question": "<image>Find the area of the shaded sector. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 10.0 | numeric | |
tra_01918 | [{"role": "user", "question": "<image>Find $x$ so that the quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_01919 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 6 \sqrt { 2 } | open | |
tra_01920 | [{"role": "user", "question": "<image>Find $m \\widehat {GJF}$.", "hint": "", "options": {}, "choices": []}] | 196 | numeric | |
tra_01921 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_01922 | [{"role": "user", "question": "<image>$P$ is the incenter of $\\triangle AEC$. Find $DE$. Rounded to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 13.11 | numeric | |
tra_01923 | [{"role": "user", "question": "<image>Express the ratio of $\\tan X$ as a decimal to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 3.43 | numeric | |
tra_01924 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_01925 | [{"role": "user", "question": "<image>Use parallelogram to find $a$", "hint": "", "options": {}, "choices": []}] | 2 | numeric | |
tra_01926 | [{"role": "user", "question": "<image>The segment is tangent to the circle. Find $x$.", "hint": "", "options": {}, "choices": []}] | 4 | numeric | |
tra_01927 | [{"role": "user", "question": "<image>Find the area of the shaded region. Round to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 61.7 | numeric | |
tra_01928 | [{"role": "user", "question": "<image>The segment is tangent to the circle. Find $x$ to the nearest hundredth.", "hint": "", "options": {}, "choices": []}] | 8.06 | numeric | |
tra_01929 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 20 | numeric | |
tra_01930 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 11 | numeric | |
tra_01931 | [{"role": "user", "question": "<image>Find the perimeter of the figure.", "hint": "", "options": {}, "choices": []}] | 36 | numeric | |
tra_01932 | [{"role": "user", "question": "<image>Find the exact value of $DE,$ given $AD=12$ and $BD=4$", "hint": "", "options": {}, "choices": []}] | 2 \sqrt { 3 } | open | |
tra_01933 | [{"role": "user", "question": "<image>In the figure, $m∠3 = 43$. Find the measure of $\\angle 16$.", "hint": "", "options": {}, "choices": []}] | 137 | numeric | |
tra_01934 | [{"role": "user", "question": "<image>Find $JK$.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_01935 | [{"role": "user", "question": "<image>In the figure, $m∠11 = 62$ and $m∠14 = 38$. Find the measure of $\\angle 4$.", "hint": "", "options": {}, "choices": []}] | 62 | numeric | |
tra_01936 | [{"role": "user", "question": "<image>WXYZ is a parallelogram. Find $m \\angle Y Z W$ ", "hint": "", "options": {}, "choices": []}] | 115 | numeric | |
tra_01937 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 727.5 | numeric | |
tra_01938 | [{"role": "user", "question": "<image>Find the area of the quadrilateral.", "hint": "", "options": {}, "choices": []}] | 260 | numeric | |
tra_01939 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_01940 | [{"role": "user", "question": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 60.1 | numeric | |
tra_01941 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_01942 | [{"role": "user", "question": "<image>Find $m \\angle TQR$.", "hint": "", "options": {}, "choices": []}] | 43 | numeric | |
tra_01943 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_01944 | [{"role": "user", "question": "<image>Quadrilateral $ABCD$ is a rhombus. If $AB = 14$, find $BC$.", "hint": "", "options": {}, "choices": []}] | 14 | numeric | |
tra_01945 | [{"role": "user", "question": "<image>Find the measure of $\\angle 2$ if $m∠4= m∠5$.", "hint": "", "options": {}, "choices": []}] | 53 | numeric | |
tra_01946 | [{"role": "user", "question": "<image>Find x. Round the side measure to the nearest tenth.", "hint": "", "options": {}, "choices": []}] | 6.1 | numeric | |
tra_01947 | [{"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 { 3 } { 7 } | open | |
tra_01948 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_01949 | [{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}] | 2 | numeric | |
tra_01950 | [{"role": "user", "question": "<image>Find the measure of $ST$ of equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.", "hint": "", "options": {}, "choices": []}] | 18 | numeric | |
tra_01951 | [{"role": "user", "question": "<image>Use parallelogram NQRM to find QR", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_01952 | [{"role": "user", "question": "<image>Equilateral pentagon $P Q R S T$ is inscribed in $\\odot U$.\r\nFind $m \\angle P T S$", "hint": "", "options": {}, "choices": []}] | 144 | numeric | |
tra_01953 | [{"role": "user", "question": "<image>In $\\odot X, A B=30, C D=30,$ and $m \\widehat{C Z}=40$\r\nFind AM", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_01954 | [{"role": "user", "question": "<image>Use parallelogram ABCD to find $x$", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_01955 | [{"role": "user", "question": "<image>Find $x$ so that $ m \\parallel n $.", "hint": "", "options": {}, "choices": []}] | 9 | numeric | |
tra_01956 | [{"role": "user", "question": "<image>Find $x$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_01957 | [{"role": "user", "question": "<image>If $a=10 \\sqrt{3},$ find $C E$ ", "hint": "", "options": {}, "choices": []}] | 15 | numeric | |
tra_01958 | [{"role": "user", "question": "<image>Find the measure of $\\angle 4$ if $m \\angle D G F=53$ and $m \\angle A G C=40$.", "hint": "", "options": {}, "choices": []}] | 40 | numeric | |
tra_01959 | [{"role": "user", "question": "<image>Polygon $BCDE$ $\\cong$ polygon $RSTU$. Find $w$.", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_01960 | [{"role": "user", "question": "<image>If $\\overline{K H}$ is parallel to $\\overline{JI}$, find the measure of $\\angle 1$", "hint": "", "options": {}, "choices": []}] | 66 | numeric | |
tra_01961 | [{"role": "user", "question": "<image>Each pair of polygons is similar. Find x", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_01962 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth.\r\n", "hint": "", "options": {}, "choices": []}] | 7.1 | numeric | |
tra_01963 | [{"role": "user", "question": "<image>Find $m \\angle 3$.", "hint": "", "options": {}, "choices": []}] | 68 | numeric | |
tra_01964 | [{"role": "user", "question": "<image>Find $JL$, if $KP = 4$ and $PM = 7$", "hint": "", "options": {}, "choices": []}] | 11 | numeric | |
tra_01965 | [{"role": "user", "question": "<image>Find $x$ so that each quadrilateral is a parallelogram.", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_01966 | [{"role": "user", "question": "<image>Find x.", "hint": "", "options": {}, "choices": []}] | 9 \sqrt { 3 } | open | |
tra_01967 | [{"role": "user", "question": "<image>Use parallelogram PQRS to find $m\\angle R$", "hint": "", "options": {}, "choices": []}] | 52 | numeric | |
tra_01968 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 102 | numeric | |
tra_01969 | [{"role": "user", "question": "<image>Find $AB$.", "hint": "", "options": {}, "choices": []}] | 10 | numeric | |
tra_01970 | [{"role": "user", "question": "<image>$ABCD \\sim QSRP$. Find $x$.", "hint": "", "options": {}, "choices": []}] | 63 | numeric | |
tra_01971 | [{"role": "user", "question": "<image>The two polygons are similar. Then find y.", "hint": "", "options": {}, "choices": []}] | 20.5 | numeric | |
tra_01972 | [{"role": "user", "question": "<image>Solve for $x$.", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_01973 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 5 \sqrt { 2 } | open | |
tra_01974 | [{"role": "user", "question": "<image>In the figure, a regular polygon is inscribed in a circle. Find the measure of a central angle.", "hint": "", "options": {}, "choices": []}] | 72 | numeric | |
tra_01975 | [{"role": "user", "question": "<image>Find the perimeter of the figure. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 31.4 | numeric | |
tra_01976 | [{"role": "user", "question": "<image>Find the measure of $\\angle 2$ in the figure.", "hint": "", "options": {}, "choices": []}] | 105 | numeric | |
tra_01977 | [{"role": "user", "question": "<image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.", "hint": "", "options": {}, "choices": []}] | 322.0 | numeric | |
tra_01978 | [{"role": "user", "question": "<image>Quadrilateral $WXYZ$ is a rectangle. Find the measure of $\\angle 12$ if $m∠1 = 30$.", "hint": "", "options": {}, "choices": []}] | 120 | numeric | |
tra_01979 | [{"role": "user", "question": "<image>Find x. Assume that segments that appear to be tangent are tangent.", "hint": "", "options": {}, "choices": []}] | 6 | numeric | |
tra_01980 | [{"role": "user", "question": "<image>$RP=3.5$ and $JP=9$. Find $PS$.", "hint": "", "options": {}, "choices": []}] | 4.5 | numeric | |
tra_01981 | [{"role": "user", "question": "<image>Polygon $BCDE$ $\\cong$ polygon $RSTU$. Find $z$.", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_01982 | [{"role": "user", "question": "<image>Find z.", "hint": "", "options": {}, "choices": []}] | 8 | numeric | |
tra_01983 | [{"role": "user", "question": "<image>In the figure, $m∠1 = 123$. Find the measure of $\\angle 16$.", "hint": "", "options": {}, "choices": []}] | 57 | numeric | |
tra_01984 | [{"role": "user", "question": "<image>In $\\triangle JLP$, $m \\angle JMP=3 x-6$, $JK=3y-2$, and $LK=5y-8$. Find $LK$ if $\\overline{PK}$ is a median.\r\n", "hint": "", "options": {}, "choices": []}] | 7 | numeric | |
tra_01985 | [{"role": "user", "question": "<image>Given figure $A B C D$, with $\\overline{A B} \\| \\overline{D C}, m \\angle B=60, m \\angle D=45, B C=8$\r\nand $A B=24,$ find the perimeter.", "hint": "", "options": {}, "choices": []}] | 52 + 4 \sqrt { 3 } + 4 \sqrt { 6 } | open | |
tra_01986 | [{"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 { 5 } { 6 } | open | |
tra_01987 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_01988 | [{"role": "user", "question": "<image>Circle $W$ has a radius of 4 units, $\\odot Z$ has a radius of 7 units, and $X Y=2 .$ Find $Y Z$", "hint": "", "options": {}, "choices": []}] | 5 | numeric | |
tra_01989 | [{"role": "user", "question": "<image>Find $y$.", "hint": "", "options": {}, "choices": []}] | 3 | numeric | |
tra_01990 | [{"role": "user", "question": "<image>Find $m\\angle 3$.", "hint": "", "options": {}, "choices": []}] | 12 | numeric | |
tra_01991 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 4 \sqrt { 29 } | open | |
tra_01992 | [{"role": "user", "question": "<image>$ABCD \\sim QSRP$. Find $y$.", "hint": "", "options": {}, "choices": []}] | 32 | numeric | |
tra_01993 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "hint": "", "options": {}, "choices": []}] | 22.7 | numeric | |
tra_01994 | [{"role": "user", "question": "<image>Find $x$.", "hint": "", "options": {}, "choices": []}] | 114 | numeric | |
tra_01995 | [{"role": "user", "question": "<image>In the figure, $m ∠9 = 75$. Find the measure of $\\angle 8$.", "hint": "", "options": {}, "choices": []}] | 105 | numeric | |
tra_01996 | [{"role": "user", "question": "<image>In H, the diameter is $18$, $LM = 12$, and $m \\widehat {LM} = 84$. Find $m \\widehat {LK}$.", "hint": "", "options": {}, "choices": []}] | 42 | numeric | |
tra_01997 | [{"role": "user", "question": "<image>Find x", "hint": "", "options": {}, "choices": []}] | 42.5 | numeric | |
tra_01998 | [{"role": "user", "question": "<image>Find $m \\angle H$.", "hint": "", "options": {}, "choices": []}] | 54 | numeric | |
tra_01999 | [{"role": "user", "question": "<image>Find $h$.", "hint": "", "options": {}, "choices": []}] | 4 \sqrt 2 | open |
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