id stringlengths 9 9 | media images listlengths 1 1 | messages stringlengths 104 328 |
|---|---|---|
tra_00100 | [{"role": "user", "question": "<image>Find $x$ in the figure.", "answer": "90", "hint": "", "options": {}, "choices": []}] | |
tra_00101 | [{"role": "user", "question": "<image>A square with side length of $9$ inches is inscribed in $\\odot J$. Find the exact circumference of $\\odot J$.", "answer": "9 \\sqrt 2 \\pi", "hint": "", "options": {}, "choices": []}] | |
tra_00102 | [{"role": "user", "question": "<image>Find $x$.", "answer": "3", "hint": "", "options": {}, "choices": []}] | |
tra_00103 | [{"role": "user", "question": "<image>If QRST is a parallelogram, find $x$", "answer": "5.4", "hint": "", "options": {}, "choices": []}] | |
tra_00104 | [{"role": "user", "question": "<image>For trapezoid QRST, M and P are midpoints of the legs. If TS = 2x, PM = 20, and QR = 6x, find x.", "answer": "5", "hint": "", "options": {}, "choices": []}] | |
tra_00105 | [{"role": "user", "question": "<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.", "answer": "80", "hint": "", "options": {}, "choices": []}] | |
tra_00106 | [{"role": "user", "question": "<image>Find x.", "answer": "14", "hint": "", "options": {}, "choices": []}] | |
tra_00107 | [{"role": "user", "question": "<image>Find $m \\widehat {PO}$.", "answer": "112", "hint": "", "options": {}, "choices": []}] | |
tra_00108 | [{"role": "user", "question": "<image>Find the perimeter of the triangle. Round to the nearest tenth if necessary.", "answer": "36", "hint": "", "options": {}, "choices": []}] | |
tra_00109 | [{"role": "user", "question": "<image>Find $m\\angle D$", "answer": "117", "hint": "", "options": {}, "choices": []}] | |
tra_00110 | [{"role": "user", "question": "<image>Points $P$, $Q$, and $R$ are the midpoints of $\\overline{J K}$, $\\overline{K L}$, and $\\overline{J L}$, respectively. Find $x$ .", "answer": "5.5", "hint": "", "options": {}, "choices": []}] | |
tra_00111 | [{"role": "user", "question": "<image>Find $h$ in each triangle.", "answer": "\\frac { 15 \\sqrt 2 } { 2 }", "hint": "", "options": {}, "choices": []}] | |
tra_00112 | [{"role": "user", "question": "<image>Find $XY$.", "answer": "7", "hint": "", "options": {}, "choices": []}] | |
tra_00113 | [{"role": "user", "question": "<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.", "answer": "4.1", "hint": "", "options": {}, "choices": []}] | |
tra_00114 | [{"role": "user", "question": "<image>Find the scale factor from $W$ to $W'$.", "answer": "0.75", "hint": "", "options": {}, "choices": []}] | |
tra_00115 | [{"role": "user", "question": "<image>Find $U B$ if $\\triangle R S T \\sim \\triangle U V W, \\overline{T A}$ and $\\overline{WB}$ are medians, $T A=8$, $R A=3, W B=3 x-6,$ and $U B=x+2$", "answer": "36", "hint": "", "options": {}, "choices": []}] | |
tra_00116 | [{"role": "user", "question": "<image>$UJ=9, VJ=3$, and $ZT=18$. Find $JT$.", "answer": "6", "hint": "", "options": {}, "choices": []}] | |
tra_00117 | [{"role": "user", "question": "<image>If $MNPQ \\sim XYZW,$ find the perimeter of $XYZW$.", "answer": "17", "hint": "", "options": {}, "choices": []}] | |
tra_00118 | [{"role": "user", "question": "<image>Find the area of the figure.", "answer": "64", "hint": "", "options": {}, "choices": []}] | |
tra_00119 | [{"role": "user", "question": "<image>Find x", "answer": "5 \\sqrt { 2 }", "hint": "", "options": {}, "choices": []}] | |
tra_00120 | [{"role": "user", "question": "<image>Find $m \\angle 5$.", "answer": "85", "hint": "", "options": {}, "choices": []}] | |
tra_00121 | [{"role": "user", "question": "<image>Quadrilateral $WXZY$ is a rhombus. If $m \\angle XZY=56$, find $m \\angle YWZ$.", "answer": "28", "hint": "", "options": {}, "choices": []}] | |
tra_00122 | [{"role": "user", "question": "<image>Find the area of the figure in feet. Round to the nearest tenth, if necessary.", "answer": "14.4", "hint": "", "options": {}, "choices": []}] | |
tra_00123 | [{"role": "user", "question": "<image>Find $x$.", "answer": "21", "hint": "", "options": {}, "choices": []}] | |
tra_00124 | [{"role": "user", "question": "<image>In $\\odot P, P D=10, P Q=10,$ and $Q E=20$, find PE", "answer": "10 \\sqrt { 5 }", "hint": "", "options": {}, "choices": []}] | |
tra_00125 | [{"role": "user", "question": "<image>If $WXYZ$ is a kite, find $ZY$.", "answer": "8 \\sqrt { 10 }", "hint": "", "options": {}, "choices": []}] | |
tra_00126 | [{"role": "user", "question": "<image>Find the area of the regular polygon. Round to the nearest tenth.", "answer": "15.6", "hint": "", "options": {}, "choices": []}] | |
tra_00127 | [{"role": "user", "question": "<image>If $m \\angle AFB = 8x - 6$ and $m \\angle BFC = 14x + 8$, find the value of $x$ so that $\\angle AFC$ is a right angle.", "answer": "4", "hint": "", "options": {}, "choices": []}] | |
tra_00128 | [{"role": "user", "question": "<image>Find $x$.", "answer": "170", "hint": "", "options": {}, "choices": []}] | |
tra_00129 | [{"role": "user", "question": "<image>Find $x$.", "answer": "11.2", "hint": "", "options": {}, "choices": []}] | |
tra_00130 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest hundredth, if necessary.", "answer": "4", "hint": "", "options": {}, "choices": []}] | |
tra_00131 | [{"role": "user", "question": "<image>Find the area of the figure. Round to the nearest tenth if necessary.", "answer": "50", "hint": "", "options": {}, "choices": []}] | |
tra_00132 | [{"role": "user", "question": "<image>Find x", "answer": "24", "hint": "", "options": {}, "choices": []}] | |
tra_00133 | [{"role": "user", "question": "<image>Find x.", "answer": "\\frac { 13 \\sqrt { 2 } } { 2 }", "hint": "", "options": {}, "choices": []}] | |
tra_00134 | [{"role": "user", "question": "<image>Find the measure of $\\angle 1$.", "answer": "56", "hint": "", "options": {}, "choices": []}] | |
tra_00135 | [{"role": "user", "question": "<image>Find $y$.", "answer": "3", "hint": "", "options": {}, "choices": []}] | |
tra_00136 | [{"role": "user", "question": "<image>Use parallelogram ABCD to find $m\\angle BCD$", "answer": "52", "hint": "", "options": {}, "choices": []}] | |
tra_00137 | [{"role": "user", "question": "<image>In $\\odot A, m \\angle E A D=42$. Find $m \\widehat{C D}$", "answer": "138", "hint": "", "options": {}, "choices": []}] | |
tra_00138 | [{"role": "user", "question": "<image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.", "answer": "\\frac { \\sqrt { 3 } } { 2 }", "hint": "", "options": {}, "choices": []}] | |
tra_00139 | [{"role": "user", "question": "<image>Find x.", "answer": "4 \\sqrt { 13 }", "hint": "", "options": {}, "choices": []}] | |
tra_00140 | [{"role": "user", "question": "<image>Find $x$. (Hint: Draw an auxiliary line.)", "answer": "130", "hint": "", "options": {}, "choices": []}] | |
tra_00141 | [{"role": "user", "question": "<image>Find z", "answer": "2 \\sqrt { 6 }", "hint": "", "options": {}, "choices": []}] | |
tra_00142 | [{"role": "user", "question": "<image>In $\\odot F$, find $m \\widehat {AED}$.", "answer": "153", "hint": "", "options": {}, "choices": []}] | |
tra_00143 | [{"role": "user", "question": "<image>Find $y$ in the figure.", "answer": "26.3", "hint": "", "options": {}, "choices": []}] | |
tra_00144 | [{"role": "user", "question": "<image>For trapezoid $ABCD$, $S$ and $T$ are midpoints of the legs. If $AB=3x$, $ST=15$, and $CD=9x$, find $x$.", "answer": "2.5", "hint": "", "options": {}, "choices": []}] | |
tra_00145 | [{"role": "user", "question": "<image>If $BT = 5$ and $TC = 8$, find $CD$.", "answer": "\\sqrt { 89 }", "hint": "", "options": {}, "choices": []}] | |
tra_00146 | [{"role": "user", "question": "<image>If $QR=2$, $XW=12$, $QW=15$, and $ST=5$, find $RS$.", "answer": "8", "hint": "", "options": {}, "choices": []}] | |
tra_00147 | [{"role": "user", "question": "<image>In $\\odot W$, $\\widehat {RS} \\cong \\widehat {TV}$. Find $RS$.", "answer": "11", "hint": "", "options": {}, "choices": []}] | |
tra_00148 | [{"role": "user", "question": "<image>In the figure, $m∠8 = 96$ and $m∠12 = 42$. Find the measure of $\\angle 9$.", "answer": "84", "hint": "", "options": {}, "choices": []}] | |
tra_00149 | [{"role": "user", "question": "<image>$\\overline{JH}, \\overline{JP},$ and $\\overline{PH}$ are midsegments of $\\triangle KLM$. Find $x$.", "answer": "50", "hint": "", "options": {}, "choices": []}] | |
tra_00150 | [{"role": "user", "question": "<image>Find y", "answer": "\\frac { 5 } { 3 }", "hint": "", "options": {}, "choices": []}] | |
tra_00151 | [{"role": "user", "question": "<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.", "answer": "14", "hint": "", "options": {}, "choices": []}] | |
tra_00152 | [{"role": "user", "question": "<image>If $c=8,$ find $b$", "answer": "4 \\sqrt { 3 }", "hint": "", "options": {}, "choices": []}] | |
tra_00153 | [{"role": "user", "question": "<image>Find $m\\angle T$", "answer": "58", "hint": "", "options": {}, "choices": []}] | |
tra_00154 | [{"role": "user", "question": "<image>Find the area of the shaded region. Round to the nearest tenth.", "answer": "68.7", "hint": "", "options": {}, "choices": []}] | |
tra_00155 | [{"role": "user", "question": "<image>Segments $\\overline{AD}$ and $\\overline{CE}$ are medians of $\\triangle ACB, \\overline{AD} \\perp \\overline{CE}, AB=10$, and $CE=9$. Find $CA$", "answer": "\\sqrt { 52 }", "hint": "", "options": {}, "choices": []}] | |
tra_00156 | [{"role": "user", "question": "<image>In $\\triangle RST$, $Z$ is the centroid and $RZ=18$. Find $ZV$.", "answer": "9", "hint": "", "options": {}, "choices": []}] | |
tra_00157 | [{"role": "user", "question": "<image>Find x.", "answer": "45", "hint": "", "options": {}, "choices": []}] | |
tra_00158 | [{"role": "user", "question": "<image>In $\\odot B$, the diameter is 20 units long, and $m \\angle A C E=45$ Find $x$", "answer": "\\sqrt { 2 }", "hint": "", "options": {}, "choices": []}] | |
tra_00159 | [{"role": "user", "question": "<image>Find $x$.", "answer": "145", "hint": "", "options": {}, "choices": []}] | |
tra_00160 | [{"role": "user", "question": "<image>Find $m \\angle T$.", "answer": "135", "hint": "", "options": {}, "choices": []}] | |
tra_00161 | [{"role": "user", "question": "<image>Find $x$.", "answer": "7", "hint": "", "options": {}, "choices": []}] | |
tra_00162 | [{"role": "user", "question": "<image>In the figure, $m ∠ 12 = 64$. Find the measure of $ \\angle 5$.", "answer": "64", "hint": "", "options": {}, "choices": []}] | |
tra_00163 | [{"role": "user", "question": "<image>Triangle $CDE$ has an area of 336 square inches. Find $CE$.", "answer": "28", "hint": "", "options": {}, "choices": []}] | |
tra_00164 | [{"role": "user", "question": "<image>Find $x$ in the figure.", "answer": "16", "hint": "", "options": {}, "choices": []}] | |
tra_00165 | [{"role": "user", "question": "<image>Find the area of the shaded region. Round to the nearest tenth.", "answer": "449.0", "hint": "", "options": {}, "choices": []}] | |
tra_00166 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "answer": "259.9", "hint": "", "options": {}, "choices": []}] | |
tra_00167 | [{"role": "user", "question": "<image>Polygon ABCD ~ polygon AEFG, $m\\angle AGF = 108$, GF = 14, AD = 12, DG = 4.5, EF = 8, and AB = 26.\r\nFind the perimeter of trapezoid ABCD", "answer": "73.2", "hint": "", "options": {}, "choices": []}] | |
tra_00168 | [{"role": "user", "question": "<image>In $\\odot B$, $m \\angle LBM = 3x$ and $m \\angle LBQ = 4x + 61$. What is the measure of $\\angle PBQ$?", "answer": "51", "hint": "", "options": {}, "choices": []}] | |
tra_00169 | [{"role": "user", "question": "<image>Find x. Round the angle measure to the nearest degree.", "answer": "40", "hint": "", "options": {}, "choices": []}] | |
tra_00170 | [{"role": "user", "question": "<image>Find $m \\angle 1$.", "answer": "108", "hint": "", "options": {}, "choices": []}] | |
tra_00171 | [{"role": "user", "question": "<image>Find x", "answer": "22", "hint": "", "options": {}, "choices": []}] | |
tra_00172 | [{"role": "user", "question": "<image>If $m\\angle ZYW = 2x - 7$ and $m \\angle WYX = 2x + 5$, find $m\\angle ZYW$.", "answer": "39", "hint": "", "options": {}, "choices": []}] | |
tra_00173 | [{"role": "user", "question": "<image>Find $m\\angle B$", "answer": "90", "hint": "", "options": {}, "choices": []}] | |
tra_00174 | [{"role": "user", "question": "<image>Find $x$ in each figure.", "answer": "31", "hint": "", "options": {}, "choices": []}] | |
tra_00175 | [{"role": "user", "question": "<image>Find $m \\angle 6$.", "answer": "45", "hint": "", "options": {}, "choices": []}] | |
tra_00176 | [{"role": "user", "question": "<image>Find x", "answer": "\\frac { 17 \\sqrt { 2 } } { 2 }", "hint": "", "options": {}, "choices": []}] | |
tra_00177 | [{"role": "user", "question": "<image>If $FK = 3x - 1$, $KG = 4y + 3$, $JK = 6y - 2$, and $KH = 2x + 3$, find $x$ so that the quadrilateral is a parallelogram.", "answer": "4", "hint": "", "options": {}, "choices": []}] | |
tra_00178 | [{"role": "user", "question": "<image>In $\\odot X, A B=30, C D=30,$ and $m \\widehat{C Z}=40$\r\nFind $m\\widehat{A B}$", "answer": "80", "hint": "", "options": {}, "choices": []}] | |
tra_00179 | [{"role": "user", "question": "<image>Find $m \\angle Q$", "answer": "70", "hint": "", "options": {}, "choices": []}] | |
tra_00180 | [{"role": "user", "question": "<image>Triangle $WXY$ has an area of 248 square inches. Find the length of the base.", "answer": "31", "hint": "", "options": {}, "choices": []}] | |
tra_00181 | [{"role": "user", "question": "<image>Find $x$ to the nearest tenth. Assume that segments that appear to be tangent are tangent.", "answer": "5.6", "hint": "", "options": {}, "choices": []}] | |
tra_00182 | [{"role": "user", "question": "<image>Find $m \\angle 4$.", "answer": "125", "hint": "", "options": {}, "choices": []}] | |
tra_00183 | [{"role": "user", "question": "<image>If WXYZ is a kite, find $YZ$", "answer": "\\sqrt { 89 }", "hint": "", "options": {}, "choices": []}] | |
tra_00184 | [{"role": "user", "question": "<image>Find x. Round to the nearest tenth.", "answer": "5.2", "hint": "", "options": {}, "choices": []}] | |
tra_00185 | [{"role": "user", "question": "<image>Find the measure of $\\angle B$", "answer": "46", "hint": "", "options": {}, "choices": []}] | |
tra_00186 | [{"role": "user", "question": "<image>Find $m \\angle A G E$", "answer": "120", "hint": "", "options": {}, "choices": []}] | |
tra_00187 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "answer": "665.1", "hint": "", "options": {}, "choices": []}] | |
tra_00188 | [{"role": "user", "question": "<image>$a=14, b=48,$ and $c=50$, find $tanB$", "answer": "3.43", "hint": "", "options": {}, "choices": []}] | |
tra_00189 | [{"role": "user", "question": "<image>Find x", "answer": "22.5", "hint": "", "options": {}, "choices": []}] | |
tra_00190 | [{"role": "user", "question": "<image>Find $x$.", "answer": "6", "hint": "", "options": {}, "choices": []}] | |
tra_00191 | [{"role": "user", "question": "<image>Find $x$ so that the quadrilateral is a parallelogram", "answer": "11", "hint": "", "options": {}, "choices": []}] | |
tra_00192 | [{"role": "user", "question": "<image>Use rhombus XYZW with $m \\angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\\frac{5 a+1}{4}$\r\nFind XZ", "answer": "8", "hint": "", "options": {}, "choices": []}] | |
tra_00193 | [{"role": "user", "question": "<image>Use rhombus XYZW with $m \\angle W Y Z=53, V W=3$, $X V=2 a-2,$ and $Z V=\\frac{5 a+1}{4}$\r\nFind $m \\angle X Y W$", "answer": "53", "hint": "", "options": {}, "choices": []}] | |
tra_00194 | [{"role": "user", "question": "<image>In the figure, $QR \\| TS$, $QT \\| RS$, and $m \\angle 1=131$. Find the measure of $\\angle 7$. ", "answer": "49", "hint": "", "options": {}, "choices": []}] | |
tra_00195 | [{"role": "user", "question": "<image>Find x", "answer": "8 \\sqrt { 3 }", "hint": "", "options": {}, "choices": []}] | |
tra_00196 | [{"role": "user", "question": "<image>Find $x$.", "answer": "25", "hint": "", "options": {}, "choices": []}] | |
tra_00197 | [{"role": "user", "question": "<image>In the figure, $ \\triangle ABC$ is isosceles, $ \\triangle DCE$ is equilateral, and $ \\triangle FCG$ is isosceles. Find the measures of the $\\angle 3$ at vertex $C$.", "answer": "26", "hint": "", "options": {}, "choices": []}] | |
tra_00198 | [{"role": "user", "question": "<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.", "answer": "103.9", "hint": "", "options": {}, "choices": []}] | |
tra_00199 | [{"role": "user", "question": "<image>Find y.", "answer": "\\frac { 3 } { 2 }", "hint": "", "options": {}, "choices": []}] |
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