id stringlengths 9 9 | media images listlengths 1 1 | messages stringlengths 104 328 |
|---|---|---|
tra_02000 | [{"role": "user", "question": "<image>Find x. Round to the nearest degree.", "answer": "63", "hint": "", "options": {}, "choices": []}] | |
tra_02001 | [{"role": "user", "question": "<image>Find $m \\angle F$.", "answer": "30", "hint": "", "options": {}, "choices": []}] | |
tra_02002 | [{"role": "user", "question": "<image>In $\\triangle ABC, \\overline{BD}$ is a median. If $AD=3x+5$ and $CD=5x-1,$ find $AC$.", "answer": "28", "hint": "", "options": {}, "choices": []}] | |
tra_02003 | [{"role": "user", "question": "<image>WXYZ is a parallelogram. Find $m \\angle X W Z$ ", "answer": "65", "hint": "", "options": {}, "choices": []}] | |
tra_02004 | [{"role": "user", "question": "<image>In $\\odot R, S U=20, Y W=20,$ and $m \\widehat{Y X}=45$.\r\nFind $m\\widehat{S U}$", "answer": "90", "hint": "", "options": {}, "choices": []}] | |
tra_02005 | [{"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 Z", "answer": "108", "hint": "", "options": {}, "choices": []}] | |
tra_02006 | [{"role": "user", "question": "<image>Find $y$ in the figure.", "answer": "28", "hint": "", "options": {}, "choices": []}] | |
tra_02007 | [{"role": "user", "question": "<image>Find $y$.", "answer": "1", "hint": "", "options": {}, "choices": []}] | |
tra_02008 | [{"role": "user", "question": "<image>Refer to trapezoid $CDFG$ with median $\\overline{HE}$. Let $\\overline{WX}$ be the median of $CDEH$. Find $WX$.", "answer": "42", "hint": "", "options": {}, "choices": []}] | |
tra_02009 | [{"role": "user", "question": "<image>Find the measure of the altitude drawn to the hypotenuse", "answer": "12", "hint": "", "options": {}, "choices": []}] | |
tra_02010 | [{"role": "user", "question": "<image>Find x", "answer": "17.1", "hint": "", "options": {}, "choices": []}] | |
tra_02011 | [{"role": "user", "question": "<image>Find $\\angle B$ of quadrilateral ABCD", "answer": "90", "hint": "", "options": {}, "choices": []}] | |
tra_02012 | [{"role": "user", "question": "<image>Each pair of polygons is similar. Find y", "answer": "7", "hint": "", "options": {}, "choices": []}] | |
tra_02013 | [{"role": "user", "question": "<image>Find x. Assume that any segment that appears to be tangent is tangent.", "answer": "210", "hint": "", "options": {}, "choices": []}] | |
tra_02014 | [{"role": "user", "question": "<image>Find x.", "answer": "\\frac { 3 } { 2 } \\sqrt { 3 }", "hint": "", "options": {}, "choices": []}] | |
tra_02015 | [{"role": "user", "question": "<image>$a=8, b=15,$ and $c=17$, find $sinA$", "answer": "0.47", "hint": "", "options": {}, "choices": []}] | |
tra_02016 | [{"role": "user", "question": "<image>Find $y$.", "answer": "11", "hint": "", "options": {}, "choices": []}] | |
tra_02017 | [{"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 $m\\widehat{B C}$", "answer": "90", "hint": "", "options": {}, "choices": []}] | |
tra_02018 | [{"role": "user", "question": "<image>Find the value of $h$.", "answer": "84.85", "hint": "", "options": {}, "choices": []}] | |
tra_02019 | [{"role": "user", "question": "<image>Find the measure of the altitude drawn to the hypotenuse.", "answer": "\\sqrt { 612 }", "hint": "", "options": {}, "choices": []}] | |
tra_02020 | [{"role": "user", "question": "<image>Find y.", "answer": "7", "hint": "", "options": {}, "choices": []}] | |
tra_02021 | [{"role": "user", "question": "<image>Find x", "answer": "22", "hint": "", "options": {}, "choices": []}] | |
tra_02022 | [{"role": "user", "question": "<image>Find the variable of $d$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.", "answer": "16.9", "hint": "", "options": {}, "choices": []}] | |
tra_02023 | [{"role": "user", "question": "<image>Find $x$.", "answer": "28", "hint": "", "options": {}, "choices": []}] | |
tra_02024 | [{"role": "user", "question": "<image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.", "answer": "167.1", "hint": "", "options": {}, "choices": []}] | |
tra_02025 | [{"role": "user", "question": "<image>Find the length of $FG$", "answer": "39", "hint": "", "options": {}, "choices": []}] | |
tra_02026 | [{"role": "user", "question": "<image>In the figure, $\\overline{A B} \\parallel \\overline{C E} .$ If $D A=6,$ what is $D B ?$", "answer": "6", "hint": "", "options": {}, "choices": []}] | |
tra_02027 | [{"role": "user", "question": "<image>In the figure, $QR \\| TS$, $QT \\| RS$, and $m \\angle 1=131$. Find the measure of $\\angle 2$. ", "answer": "49", "hint": "", "options": {}, "choices": []}] | |
tra_02028 | [{"role": "user", "question": "<image>The area of a circle is 20 $\\pi$ square centimeters. What is its circumference?", "answer": "4 \\sqrt 5 \\pi", "hint": "", "options": {}, "choices": []}] | |
tra_02029 | [{"role": "user", "question": "<image>Find x", "answer": "45", "hint": "", "options": {}, "choices": []}] | |
tra_02030 | [{"role": "user", "question": "<image>Find x.", "answer": "6", "hint": "", "options": {}, "choices": []}] | |
tra_02031 | [{"role": "user", "question": "<image>Rhombus $A B C D$ is circumscribed about $\\odot P$ and has a perimeter of 32 Find $x$", "answer": "5", "hint": "", "options": {}, "choices": []}] | |
tra_02032 | [{"role": "user", "question": "<image>Find the area of the figure in feet. Round to the nearest tenth, if necessary.", "answer": "31.2", "hint": "", "options": {}, "choices": []}] | |
tra_02033 | [{"role": "user", "question": "<image>Find $m \\angle MNP$.", "answer": "130", "hint": "", "options": {}, "choices": []}] | |
tra_02034 | [{"role": "user", "question": "<image>In $\\odot S$, find $PR$.", "answer": "12", "hint": "", "options": {}, "choices": []}] | |
tra_02035 | [{"role": "user", "question": "<image>Find x.", "answer": "12", "hint": "", "options": {}, "choices": []}] | |
tra_02036 | [{"role": "user", "question": "<image>Refer to the triangle shown below. Find $z$ to the nearest tenth.", "answer": "\\frac { 5 } { 2 } \\sqrt { 41 }", "hint": "", "options": {}, "choices": []}] | |
tra_02037 | [{"role": "user", "question": "<image>In $\\triangle EFG, \\overline{HL} \\parallel \\overline{EF}, EH=9, HG=21,$ and $FL=6 .$ Find $LG$", "answer": "14", "hint": "", "options": {}, "choices": []}] | |
tra_02038 | [{"role": "user", "question": "<image>Find $x$.", "answer": "3", "hint": "", "options": {}, "choices": []}] | |
tra_02039 | [{"role": "user", "question": "<image>Quadrilateral $ABDC$ is a rectangle. Find $m \\angle 6$ if $ m\\angle 1 = 38$.", "answer": "38", "hint": "", "options": {}, "choices": []}] | |
tra_02040 | [{"role": "user", "question": "<image>Find the area of the kite.", "answer": "52.5", "hint": "", "options": {}, "choices": []}] | |
tra_02041 | [{"role": "user", "question": "<image>In the figure, $ \\overline{GK} \\cong \\overline{GH}$ and $ \\overline{HK} \\cong \\overline{KJ}$. If $m \\angle HGK=28$, find $m \\angle HJK$.", "answer": "38", "hint": "", "options": {}, "choices": []}] | |
tra_02042 | [{"role": "user", "question": "<image>Find AS", "answer": "8", "hint": "", "options": {}, "choices": []}] | |
tra_02043 | [{"role": "user", "question": "<image>Find x. Assume that any segment that appears to be tangent is tangent.", "answer": "13", "hint": "", "options": {}, "choices": []}] | |
tra_02044 | [{"role": "user", "question": "<image>Find y.", "answer": "3 \\sqrt { 5 }", "hint": "", "options": {}, "choices": []}] | |
tra_02045 | [{"role": "user", "question": "<image>Find the exact circumference of each circle.", "answer": "5 \\pi", "hint": "", "options": {}, "choices": []}] | |
tra_02046 | [{"role": "user", "question": "<image>Find $m \\angle 1$.", "answer": "85", "hint": "", "options": {}, "choices": []}] | |
tra_02047 | [{"role": "user", "question": "<image>The area $A$ of the shaded region is given. Find $x$. $A = 94$ in$^2$ .", "answer": "55.0", "hint": "", "options": {}, "choices": []}] | |
tra_02048 | [{"role": "user", "question": "<image>Find $x$ if $\\overline{PS}$ is a median of $\\triangle PQR$.", "answer": "2", "hint": "", "options": {}, "choices": []}] | |
tra_02049 | [{"role": "user", "question": "<image>The diameters of $\\odot A, \\odot B,$ and $\\odot C$ are $8$ inches, $18$ inches, and $11$ inches, respectively. Find $FG$.", "answer": "14", "hint": "", "options": {}, "choices": []}] | |
tra_02050 | [{"role": "user", "question": "<image>Find y.", "answer": "\\frac { 25 } { 14 }", "hint": "", "options": {}, "choices": []}] | |
tra_02051 | [{"role": "user", "question": "<image>If $\\overline{K H}$ is parallel to $\\overline{JI}$, find the measure of $\\angle 2$", "answer": "54", "hint": "", "options": {}, "choices": []}] | |
tra_02052 | [{"role": "user", "question": "<image>If $\\overline{E B} \\parallel \\overline{D C},$ find $x$", "answer": "9.5", "hint": "", "options": {}, "choices": []}] | |
tra_02053 | [{"role": "user", "question": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.", "answer": "13.7", "hint": "", "options": {}, "choices": []}] | |
tra_02054 | [{"role": "user", "question": "<image>$\\triangle ABC \\cong \\triangle FGH$. Find $x$.", "answer": "3", "hint": "", "options": {}, "choices": []}] | |
tra_02055 | [{"role": "user", "question": "<image>Points $S$, $T$, and $U$ are the midpoints of $\\overline{DE}$, $\\overline{EF}$, and $\\overline{DF}$, respectively. Find $x$.", "answer": "4", "hint": "", "options": {}, "choices": []}] | |
tra_02056 | [{"role": "user", "question": "<image>Find $m \\angle DBA$.", "answer": "17", "hint": "", "options": {}, "choices": []}] | |
tra_02057 | [{"role": "user", "question": "<image>Circle $L$ has a radius of 32 centimeters. $\\overline{L H} \\perp \\overline{G J},$ and $G J=40$ centimeters. Find $L K$", "answer": "\\sqrt { 624 }", "hint": "", "options": {}, "choices": []}] | |
tra_02058 | [{"role": "user", "question": "<image>$\\triangle RST \\cong \\triangle VUT$. What is the area of $\\triangle RST$?", "answer": "300", "hint": "", "options": {}, "choices": []}] | |
tra_02059 | [{"role": "user", "question": "<image>Find x. Assume that any segment that appears to be tangent is tangent.", "answer": "8", "hint": "", "options": {}, "choices": []}] | |
tra_02060 | [{"role": "user", "question": "<image>In the figure, $m∠4 = 104$, $m∠14 = 118$. Find the measure of $\\angle 9$.", "answer": "62", "hint": "", "options": {}, "choices": []}] | |
tra_02061 | [{"role": "user", "question": "<image>Find the area of the parallelogram.", "answer": "318.7", "hint": "", "options": {}, "choices": []}] | |
tra_02062 | [{"role": "user", "question": "<image>Find $m \\angle C$.", "answer": "47", "hint": "", "options": {}, "choices": []}] | |
tra_02063 | [{"role": "user", "question": "<image>Find x", "answer": "4 \\sqrt { 3 }", "hint": "", "options": {}, "choices": []}] | |
tra_02064 | [{"role": "user", "question": "<image>$m∠4 = 32$. Find the measure of $\\angle 3$.", "answer": "90", "hint": "", "options": {}, "choices": []}] | |
tra_02065 | [{"role": "user", "question": "<image>If $\\overline{W P}$ is a perpendicular bisector, $m \\angle WHA=8 q+17$, $m \\angle HWP=10+q$, $AP=6 r+4$, and $PH=22+3 r$, find $r$.", "answer": "6", "hint": "", "options": {}, "choices": []}] | |
tra_02066 | [{"role": "user", "question": "<image>Find x.", "answer": "5 \\sqrt { 3 }", "hint": "", "options": {}, "choices": []}] | |
tra_02067 | [{"role": "user", "question": "<image>Find the measure of $RT$ of equilateral triangle $RST$ if $RS = x + 9$, $ST = 2x$, and $RT = 3x - 9$.", "answer": "18", "hint": "", "options": {}, "choices": []}] | |
tra_02068 | [{"role": "user", "question": "<image>Find $m \\angle 4$.", "answer": "52", "hint": "", "options": {}, "choices": []}] | |
tra_02069 | [{"role": "user", "question": "<image>Find x.", "answer": "10", "hint": "", "options": {}, "choices": []}] | |
tra_02070 | [{"role": "user", "question": "<image>Find the area of $▱EFGH$.", "answer": "90", "hint": "", "options": {}, "choices": []}] | |
tra_02071 | [{"role": "user", "question": "<image>For trapezoid $T R S V, M$ and $N$ are midpoints of the legs. If $V S=21$ and $T R=44,$ find $M N$", "answer": "32.5", "hint": "", "options": {}, "choices": []}] | |
tra_02072 | [{"role": "user", "question": "<image> $m \\widehat{G H}=78$ Find $m\\angle 2$", "answer": "51", "hint": "", "options": {}, "choices": []}] | |
tra_02073 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth if necessary. Assume that segments that appear\r\nto be tangent are tangent.", "answer": "6", "hint": "", "options": {}, "choices": []}] | |
tra_02074 | [{"role": "user", "question": "<image>Find $x$.", "answer": "170", "hint": "", "options": {}, "choices": []}] | |
tra_02075 | [{"role": "user", "question": "<image>For the pair of similar figures, find the area of the green figure.", "answer": "24", "hint": "", "options": {}, "choices": []}] | |
tra_02076 | [{"role": "user", "question": "<image>Find x.", "answer": "5 \\sqrt { 2 }", "hint": "", "options": {}, "choices": []}] | |
tra_02077 | [{"role": "user", "question": "<image>Find the area of the quadrilateral.", "answer": "240", "hint": "", "options": {}, "choices": []}] | |
tra_02078 | [{"role": "user", "question": "<image>Find y.", "answer": "10", "hint": "", "options": {}, "choices": []}] | |
tra_02079 | [{"role": "user", "question": "<image>If $\\overline{GH} \\cong \\overline{HK}$, $\\overline{HJ} \\cong \\overline{YK}$, and $m \\angle GJK=100$, what is the measure of $\\angle HGK$ ?", "answer": "20", "hint": "", "options": {}, "choices": []}] | |
tra_02080 | [{"role": "user", "question": "<image>$ACDF \\sim VWYZ$. Find $x$.", "answer": "15", "hint": "", "options": {}, "choices": []}] | |
tra_02081 | [{"role": "user", "question": "<image>Find the angle measure of $\\angle 2$.", "answer": "128", "hint": "", "options": {}, "choices": []}] | |
tra_02082 | [{"role": "user", "question": "<image>ABCD is a rhombus. If EB = 9, AB = 12 and $m\\angle ABD = 55$ . Find CE", "answer": "\\sqrt { 63 }", "hint": "", "options": {}, "choices": []}] | |
tra_02083 | [{"role": "user", "question": "<image>Find the measure of $\\angle 3$.", "answer": "14", "hint": "", "options": {}, "choices": []}] | |
tra_02084 | [{"role": "user", "question": "<image>Find the area of the shaded sector. Round to the nearest tenth.", "answer": "46.5", "hint": "", "options": {}, "choices": []}] | |
tra_02085 | [{"role": "user", "question": "<image>$\\overline{PQ}$ is tangent to circles $R$ and $S$. Find $PQ$.", "answer": "4 \\sqrt 6", "hint": "", "options": {}, "choices": []}] | |
tra_02086 | [{"role": "user", "question": "<image>If $SP=4, PT=6$, and $QR=12$, find $SQ$.", "answer": "8", "hint": "", "options": {}, "choices": []}] | |
tra_02087 | [{"role": "user", "question": "<image>If $\\overline{PQ} \\cong \\overline{UQ}$ and $ m ∠ P = 32 $, find $ m ∠PUQ $.", "answer": "32", "hint": "", "options": {}, "choices": []}] | |
tra_02088 | [{"role": "user", "question": "<image>If CDFG is a kite, find GF", "answer": "5", "hint": "", "options": {}, "choices": []}] | |
tra_02089 | [{"role": "user", "question": "<image>Find $\\angle1$", "answer": "112", "hint": "", "options": {}, "choices": []}] | |
tra_02090 | [{"role": "user", "question": "<image>If $x=7 \\sqrt{3},$ find $y$", "answer": "21 \\sqrt { 3 }", "hint": "", "options": {}, "choices": []}] | |
tra_02091 | [{"role": "user", "question": "<image>Find the variable of $r$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.", "answer": "1.8", "hint": "", "options": {}, "choices": []}] | |
tra_02092 | [{"role": "user", "question": "<image>Find $m \\angle DH$.", "answer": "162", "hint": "", "options": {}, "choices": []}] | |
tra_02093 | [{"role": "user", "question": "<image>Find $m \\angle 4$.", "answer": "64", "hint": "", "options": {}, "choices": []}] | |
tra_02094 | [{"role": "user", "question": "<image>Quadrilateral MNOP is a rhombus. If $m\\angle PON = 124$, find $m\\angle POM$.", "answer": "62", "hint": "", "options": {}, "choices": []}] | |
tra_02095 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth.", "answer": "3.5", "hint": "", "options": {}, "choices": []}] | |
tra_02096 | [{"role": "user", "question": "<image>$\\overline{PM}$ is a diameter of $\\odot R$. Find $m \\widehat {MNP}$.", "answer": "180", "hint": "", "options": {}, "choices": []}] | |
tra_02097 | [{"role": "user", "question": "<image>Find x.", "answer": "15.5", "hint": "", "options": {}, "choices": []}] | |
tra_02098 | [{"role": "user", "question": "<image>Find y in the figure.", "answer": "5", "hint": "", "options": {}, "choices": []}] | |
tra_02099 | [{"role": "user", "question": "<image>For the pair of similar figures, use the given areas to find $x$.", "answer": "10.0", "hint": "", "options": {}, "choices": []}] |
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