id stringlengths 4 8 | image_url stringlengths 77 81 | query stringlengths 7 1.32k | answer stringlengths 1 148 | choice stringlengths 4 597 | question_type stringclasses 2
values |
|---|---|---|---|---|---|
geo109 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/109.png | Find the area of the figure. Round to the nearest tenth if necessary. | B | ['72.3', '96.5', '120.7', '167.5'] | multi_choice |
geo110 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/110.png | Find the area of the figure. Round to the nearest tenth if necessary. | C | ['40', '45', '50', '60'] | multi_choice |
geo111 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/111.png | Find x. | D | ['\\frac { 5 } { 3 }', '5 \\sqrt { 3 }', '10', '\\frac { 40 } { 3 }'] | multi_choice |
geo112 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/112.png | Find the area of the shaded region. Assume the inscribed polygon is regular. | B | ['30.1', '39.3', '78.6', '117.9'] | multi_choice |
geo113 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/113.png | Find x. | B | ['5', '10', '15', '20'] | multi_choice |
geo114 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/114.png | A B, B C, C D, and A D are tangent to a circle. If A B = 19, B C = 6, and C D = 14, find A D. | D | ['6', '14', '19', '27'] | multi_choice |
geo115 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/115.png | In \odot P, P D = 10, P Q = 10, and Q E = 20, find A B. | D | ['10', '20', '30', '40'] | multi_choice |
geo116 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/116.png | Find R S. | B | ['4.5', '9', '12', '18'] | multi_choice |
geo117 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/117.png | Find the measure of \angle 5. | C | ['5', '70', '75', '80'] | multi_choice |
geo118 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/118.png | Find y. | B | ['9', '9 \\sqrt { 3 }', '18', '18 \\sqrt 3'] | multi_choice |
geo119 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/119.png | Find the measure of \angle 1 in the figure. | D | ['106', '116', '118', '128'] | multi_choice |
geo120 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/120.png | In the figure, m \angle 4 = 104, m \angle 14 = 118. Find the measure of \angle 2. | C | ['62', '76', '104', '118'] | multi_choice |
geo121 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/121.png | Use parallelogram A B C D to find m \angle B C D. | D | ['15', '65', '80', '115'] | multi_choice |
geo122 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/122.png | Find m \widehat A C. | A | ['58', '65', '72', '137'] | multi_choice |
geo123 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/123.png | Find the measure of \angle 1. | D | ['47', '55', '57', '76'] | multi_choice |
geo124 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/124.png | In \triangle G H J, H P = 5 x - 16, P J = 3 x + 8, m \angle G J N = 6 y - 3, m \angle N J H = 4 y + 23 and m \angle H M G = 4 z + 14. G P is a median of \triangle G H J. Find H J. | C | ['84', '86', '88', '90'] | multi_choice |
geo125 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/125.png | In \odot F, if C F = 14 inches, what is the diameter of the circle? | C | ['7', '14', '28', '56'] | multi_choice |
geo126 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/126.png | Find the area of the figure. | C | ['28', '48', '96', '192'] | multi_choice |
geo127 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/127.png | Find y. | D | ['3', '\\sqrt { 21 }', '7', '21'] | multi_choice |
geo128 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/128.png | Find the value of the variable y in the figure. | C | ['54', '66', '114', '124'] | multi_choice |
geo129 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/129.png | Find x. | B | ['7', '8', '12', '17'] | multi_choice |
geo130 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/130.png | Find J K. | C | ['4', '6', '8', '12'] | multi_choice |
geo131 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/131.png | Find the area of the shaded sector. Round to the nearest tenth. | C | ['37.4', '101.8', '175.8', '277.6'] | multi_choice |
geo132 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/132.png | Find x. Assume that segments that appear to be tangent are tangent. | A | ['15', '30', '45', '60'] | multi_choice |
geo133 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/133.png | The diameters of \odot A, \odot B, and \odot C are 10 inches, 20 inches, and 14 inches, respectively. Find X B. | A | ['5', '10', '15', '20'] | multi_choice |
geo134 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/134.png | Find x. | C | ['135', '215', '225', '235'] | multi_choice |
geo135 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/135.png | Find y so that the quadrilateral is a parallelogram. | B | ['1', '2', '3', '4'] | multi_choice |
geo136 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/136.png | Find the area of the figure. Round to the nearest tenth, if necessary. | B | ['57.7', '82.9', '101.7', '108'] | multi_choice |
geo137 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/137.png | If P R \parallel W X, W X = 10, X Y = 6, W Y = 8, R Y = 5, and P S = 3, find P Y. | C | ['3', '4', '5', '6'] | multi_choice |
geo138 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/138.png | Find x. | C | ['9', '10', '12', '16'] | multi_choice |
geo139 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/139.png | In \odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U = 4 x, m \angle U Z Y = 2 x + 24, and V Y and W U are diameters. Find m \widehat W U Y. | D | ['44', '104', '136', '256'] | multi_choice |
geo140 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/140.png | Find m \angle 2. | C | ['32', '58', '80', '112'] | multi_choice |
geo141 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/141.png | Use a Pythagorean Triple to find x. | C | ['22', '25', '28', '31'] | multi_choice |
geo142 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/142.png | Find the value of the variable x in the figure. | A | ['54', '64', '102', '114'] | multi_choice |
geo143 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/143.png | What is the area of the parallelogram below? Round to the nearest whole number if necessary. | B | ['49.4', '106.0', '117', '250.9'] | multi_choice |
geo144 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/144.png | Use parallelogram J K L M to find m \angle M J K if J K = 2 b + 3 and J M = 3 a. | D | ['30', '70', '80', '100'] | multi_choice |
geo145 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/145.png | Find L M. | C | ['6', '8.5', '12', '17'] | multi_choice |
geo146 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/146.png | Find the area of the rhombus. | B | ['45', '90', '135', '180'] | multi_choice |
geo147 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/147.png | For isosceles trapezoid X Y Z W, find m \angle W. | C | ['15', '70', '110', '250'] | multi_choice |
geo148 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/148.png | Find m \widehat J M. | D | ['111', '133', '147', '155'] | multi_choice |
geo149 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/149.png | Find y. | B | ['6', '6.4', '7', '7.5'] | multi_choice |
geo150 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/150.png | Find x. | D | ['10', '20', '25', '30'] | multi_choice |
geo151 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/151.png | Quadrilateral A B C D is a rhombus. If D B = 2 x - 4 and P B = 2 x - 9, find P D. | A | ['5', '15', '34', '90'] | multi_choice |
geo152 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/152.png | Find E G if \triangle A C B \sim \triangle E G F, A D is an altitude of \triangle A C B, E H is an altitude of \triangle E G F, A C = 17, A D = 15, and E H = 7.5. | D | ['7', '7.5', '8', '8.5'] | multi_choice |
geo153 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/153.png | Find the measure of \angle T to the nearest tenth. | C | ['25.6', '28.6', '61.4', '64.4'] | multi_choice |
geo154 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/154.png | Find x so that m \parallel n. | D | ['21', '25', '35', '63'] | multi_choice |
geo155 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/155.png | Find m \angle 3. | C | ['74', '78', '82', '90'] | multi_choice |
geo156 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/156.png | isosceles trapezoid T W Y Z with \angle Z \cong \angle Y, m \angle Z = 30 x, \angle T \cong \angle W, and m \angle T = 20 x, find \angle Y. | C | ['62', '72', '108', '118'] | multi_choice |
geo157 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/157.png | Find the value of x. | A | ['3', '5', '10', '28'] | multi_choice |
geo158 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/158.png | In circle F, what is the measure of \widehat E A if m \angle D F E is 36? | C | ['54', '104', '144', '324'] | multi_choice |
geo159 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/159.png | \triangle D F G and \triangle F G H are isosceles, m \angle F D H = 28 and D G \cong F G \cong F H. Find the measure of \angle D G F. | A | ['124', '126', '128', '130'] | multi_choice |
geo160 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/160.png | In the figure, m \angle 4 = 101. Find the measure of \angle 7. | B | ['69', '79', '89', '101'] | multi_choice |
geo161 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/161.png | Point S is the incenter of \triangle J P L. Find S Q. | B | ['4', '6', '8', '10'] | multi_choice |
geo162 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/162.png | In \odot S, m \angle T S R = 42. Find m \widehat K R T. | C | ['42', '180', '222', '360'] | multi_choice |
geo163 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/163.png | Find the value of the variable m. | B | ['3', '4', '5', '6'] | multi_choice |
geo164 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/164.png | Find m \angle 2. | A | ['21', '23', '71', '92'] | multi_choice |
geo165 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/165.png | In the figure, m \angle 9 = 75. Find the measure of \angle 11. | A | ['75', '85', '95', '105'] | multi_choice |
geo166 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/166.png | Find y. | B | ['5 \\sqrt { 3 }', '10 \\sqrt { 3 }', '15 \\sqrt { 2 }', '30'] | multi_choice |
geo167 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/167.png | Find m \angle 3. | C | ['23', '55', '63', '125'] | multi_choice |
geo168 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/168.png | Find the area of the figure. Round to the nearest tenth if necessary. | B | ['11.6', '12.4', '24.8', '53.3'] | multi_choice |
geo169 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/169.png | Find m \angle 1. | D | ['38', '46', '90', '138'] | multi_choice |
geo170 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/170.png | Find x. Round side measure to the nearest tenth. | D | ['7.5', '8.6', '16.8', '19.3'] | multi_choice |
geo171 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/171.png | Point S is the incenter of \triangle J P L. Find Q J. | C | ['4', '6', '8', '10'] | multi_choice |
geo172 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/172.png | Find x so that the quadrilateral is a parallelogram. | B | ['7', '14', '38', '51'] | multi_choice |
geo173 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/173.png | Find the measure of \angle 1. | D | ['49', '50', '59', '60'] | multi_choice |
geo174 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/174.png | In the figure, m \angle 11 = 62 and m \angle 14 = 38. Find the measure of \angle 5. | C | ['62', '70', '80', '90'] | multi_choice |
geo175 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/175.png | Find b. | B | ['3.6', '4.6', '5.4', '6.4'] | multi_choice |
geo176 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/176.png | Find the area of the figure. Round to the nearest tenth if necessary. | B | ['121', '165', '209', '330'] | multi_choice |
geo177 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/177.png | In \odot H, P Q = 3 x - 4 and R S = 14. Find x. | B | ['4', '6', '8', '16'] | multi_choice |
geo178 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/178.png | In \odot C, m \angle H C G = 2 x and m \angle H C D = 6 x + 28, find m \widehat H G F. | B | ['116', '128', '134', '142'] | multi_choice |
geo179 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/179.png | Refer to the figure at the right. Find the value of m \angle C B D if p \parallel q. | D | ['75', '85', '95', '105'] | multi_choice |
geo180 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/180.png | Find m \angle B. | B | ['52', '76', '104', '128'] | multi_choice |
geo181 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/181.png | Find Q S if \triangle Q R S is an equilateral triangle. | B | ['1', '2', '2.5', '3'] | multi_choice |
geo182 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/182.png | In the figure, m \angle 1 = 53. Find the measure of \angle 7. | D | ['113', '117', '123', '127'] | multi_choice |
geo183 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/183.png | Find the value of x. | B | ['48', '55', '58', '90'] | multi_choice |
geo184 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/184.png | Find y. | D | ['4 \\sqrt { 2 }', '4 \\sqrt { 3 }', '8 \\sqrt { 2 }', '8 \\sqrt { 3 }'] | multi_choice |
geo185 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/185.png | If W X = 7, W Y = a, W V = 6, and V Z = a - 9, find W Y. | C | ['7', '12', '21', '24'] | multi_choice |
geo186 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/186.png | Find D E. | B | ['3', '4', '5', '6'] | multi_choice |
geo187 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/187.png | Find y. | B | ['21.1', '29.2', '32.7', '42.4'] | multi_choice |
geo188 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/188.png | In the figure, m \angle 8 = 96 and m \angle 12 = 42. Find the measure of \angle 11. | C | ['84', '96', '138', '148'] | multi_choice |
geo189 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/189.png | \triangle E F G is equilateral, and E H bisects \angle E. Find m \angle 1. | B | ['15', '30', '45', '60'] | multi_choice |
geo190 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/190.png | a = 8, b = 15, and c = 17, find \cos A. | D | ['0.12', '0.22', '0.44', '0.88'] | multi_choice |
geo191 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/191.png | Find the variable of a to the nearest tenth. Assume that segments that appear to be tangent are tangent. | A | ['15.0', '19.0', '21.0', '25.0'] | multi_choice |
geo192 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/192.png | P is the incenter of \triangle A E C. Find P B. Rounded to the nearest hundredth. | A | ['7.08', '7.45', '13', '14.9'] | multi_choice |
geo193 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/193.png | Find D E if A B = 6, A F = 8, B C = x, C D = y, D E = 2 y - 3, and F E = x + \frac { 10 } { 3 }. | D | ['9', '12', '13.3', '15'] | multi_choice |
geo194 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/194.png | Find the measure of \angle A F D on \odot F with diameter A C. | C | ['53', '55', '57', '59'] | multi_choice |
geo195 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/195.png | Find the perimeter of the figure. Round to the nearest hundredth, if necessary. | B | ['5.7', '8', '11.3', '16'] | multi_choice |
geo196 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/196.png | The radius of \odot P is 5 and P R = 3. Find Q R. | B | ['3', '4', '5', '6'] | multi_choice |
geo197 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/197.png | Find m \angle 3. | D | ['62', '70', '75', '82'] | multi_choice |
geo198 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/198.png | Find the area of the regular polygon. Round to the nearest tenth. | B | ['3.5', '6.9', '13.8', '27.6'] | multi_choice |
geo199 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/199.png | In the figure, m \angle 1 = 94. Find the measure of \angle 4. | B | ['76', '86', '94', '96'] | multi_choice |
geo200 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/200.png | Find A P. | B | ['8', '8 \\sqrt { 3 }', '16', '24'] | multi_choice |
geo201 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/201.png | Find x. | B | ['2', '3', '5', '7'] | multi_choice |
geo202 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/202.png | In the figure, m \angle 1 = 58, m \angle 2 = 47, and m \angle 3 = 26. Find the measure of \angle 6. | D | ['47', '58', '73', '75'] | multi_choice |
geo203 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/203.png | Find m \angle D. | C | ['52', '76', '104', '128'] | multi_choice |
geo204 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/204.png | A B C D is a rectangle. If C F = 4 x + 1 and D F = x + 13, find x. | A | ['4', '6', '8', '10'] | multi_choice |
geo205 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/205.png | Find x. | B | ['10', '20', '30', '40'] | multi_choice |
geo206 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/206.png | If \overrightarrow A C bisects \angle D A B, B C = 4 x + 8, and D C = 9 x - 7, find B C. | C | ['8', '15', '20', '40'] | multi_choice |
geo207 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/207.png | Find x. Round the side measure to the nearest tenth. | B | ['1.9', '3.8', '7.6', '15.2'] | multi_choice |
geo208 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/208.png | Find x. | B | ['9', '18', '18 \\sqrt { 2 }', '36'] | multi_choice |
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