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 |
|---|---|---|---|---|---|
geo209 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/209.png | In quadrilateral P Q R S, P Q = 721, Q R = 547, R S = 593, P S = 756, and m \angle P = 58. Find m \angle P Q S. | C | ['43.1', '56.4', '63.5', '87.4'] | multi_choice |
geo210 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/210.png | Find x. | B | ['34.9', '53.2', '67.1', '89.5'] | multi_choice |
geo211 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/211.png | Suppose \angle 4 and \angle 5 form a linear pair. If m \angle 1 = 2 x, m \angle 2 = 3 x - 20, and m \angle 3 = x - 4, what is m \angle 3? | C | ['26', '28', '30', '32'] | multi_choice |
geo212 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/212.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 F G H. | A | ['56', '58', '64', '68'] | multi_choice |
geo213 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/213.png | Find A C. | C | ['3', '7', '14', '21'] | multi_choice |
geo214 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/214.png | If \sin x = 0.6 and A B = 12, what is the area of \triangle A B C? | D | ['9.6', '28.8', '31.2', '34.6'] | multi_choice |
geo215 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/215.png | Find y. | B | ['- 3', '- 1', '1', '6'] | multi_choice |
geo216 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/216.png | Find m \angle T. | B | ['40', '60', '70', '80'] | multi_choice |
geo217 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/217.png | In \odot S, m \angle T S R = 42. Find m \widehat E R T. | D | ['42', '84', '138', '180'] | multi_choice |
geo218 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/218.png | Find x. | B | ['5', '9', '10', '45'] | multi_choice |
geo219 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/219.png | Find the measure of \angle B. Round to the nearest degree. | C | ['40', '45', '50', '55'] | multi_choice |
geo220 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/220.png | Find A B. | B | ['14', '15', '16', '16.2'] | multi_choice |
geo221 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/221.png | Find y. | C | ['2', '4', '4 \\sqrt { 2 }', '4 \\sqrt { 6 }'] | multi_choice |
geo222 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/222.png | In \odot S, L M = 16 and P N = 4 x. What is x? | A | ['4', '7', '8', '14'] | multi_choice |
geo223 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/223.png | Find the perimeter of \triangle A D F, if \triangle A D F \sim \triangle B C E, B C = 24, E B = 12, C E = 18, and D F = 21. | A | ['63', '72', '94.5', '108'] | multi_choice |
geo224 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/224.png | Find m \angle 1. | B | ['39', '42', '48', '51'] | multi_choice |
geo225 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/225.png | Find x. | D | ['36', '72', '136', '144'] | multi_choice |
geo226 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/226.png | Find m \angle D. | C | ['28', '40', '134', '140'] | multi_choice |
geo227 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/227.png | Find x so that p \parallel q. | A | ['15', '20', '25', '30'] | multi_choice |
geo228 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/228.png | Find m \widehat B C. | C | ['21', '63', '123', '155'] | multi_choice |
geo229 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/229.png | Find T Y. | B | ['5', '7.5', '10', '12.5'] | multi_choice |
geo230 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/230.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 X Y. | C | ['38', '48', '52', '98'] | multi_choice |
geo231 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/231.png | In \triangle P Q R, Z Q = 3 a - 11, Z P = a + 5, P Y = 2 c - 1, Y R = 4 c - 11, m \angle P R Z = 4 b - 17, m \angle Z R Q = 3 b - 4, m \angle Q Y R = 7 b + 6, and m \angle P X R = 2 a + 10. If Q Y is a perpendicular bisector of P R, find b. | D | ['9', '10', '11', '12'] | multi_choice |
geo232 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/232.png | Find x. | C | ['128', '148', '152', '160'] | multi_choice |
geo233 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/233.png | In \triangle D E F, P is the midpoint of D E, and Q is the midpoint of side D F. If E F = 3 x + 4 and P Q = 20, what is the value of x? | C | ['2', '10', '12', '40'] | multi_choice |
geo234 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/234.png | Find m \angle B A C. | C | ['40', '50', '60', '80'] | multi_choice |
geo235 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/235.png | What is the perimeter of the right triangle below? Round your answer to the nearest tenth if necessary. | A | ['33.5', '39.1', '49.9', '55.5'] | multi_choice |
geo236 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/236.png | Find x. | D | ['3', '4', '5', '6'] | multi_choice |
geo237 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/237.png | Find the measure of \angle 5 if A B \perp B C. | B | ['62', '64', '66', '68'] | multi_choice |
geo238 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/238.png | Find the perimeter of the \triangle W Z X, if \triangle W Z X \sim \triangle S R T, S T = 6, W X = 5, and the perimeter of \triangle S R T = 15. | B | ['10.5', '12.5', '15', '17.5'] | multi_choice |
geo239 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/239.png | Express the ratio of \sin V as a decimal to the nearest hundredth. | A | ['0.28', '0.29', '0.96', '3.43'] | multi_choice |
geo240 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/240.png | Find m \angle C G B. | B | ['60', '120', '240', '360'] | multi_choice |
geo241 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/241.png | Find x. | B | ['12', '16', '24', '62'] | multi_choice |
geo242 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/242.png | Use rectangle L M N P, parallelogram L K M J to solve the problem. If M K = 6 x, K L = 3 x + 2 y, and J N = 14 - x, find x. | B | ['1', '2', '6', '12'] | multi_choice |
geo243 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/243.png | Find the area of the figure. Round to the nearest tenth if necessary. | B | ['8.2', '71.8', '80', '88.2'] | multi_choice |
geo244 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/244.png | Which of the following angle pairs are alternate exterior angles? | C | ['\\angle 1 and \\angle 5', '\\angle 2 and \\angle 10', '\\angle 2 and \\angle 6', '\\angle 5 and \\angle 9'] | multi_choice |
geo245 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/245.png | In the figure, m \angle 12 = 64. Find the measure of \angle 9. | D | ['104', '106', '114', '116'] | multi_choice |
geo246 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/246.png | If m \angle C F D = 12 a + 45, find a so that \overrightarrow F C \perp \overrightarrow F D. | A | ['3.75', '7.5', '11.25', '15'] | multi_choice |
geo247 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/247.png | If m \angle B N C = 20, find m \widehat B C. | A | ['20', '30', '40', '50'] | multi_choice |
geo248 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/248.png | Find x so that m \parallel n. | C | ['11', '14', '22', '90'] | multi_choice |
geo249 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/249.png | Find the value of x. Round to the nearest tenth. | B | ['5.9', '7.8', '15.6', '21.6'] | multi_choice |
geo250 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/250.png | Find b in the given parallelogram. | B | ['3', '4', '5', '13'] | multi_choice |
geo251 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/251.png | The segment is tangent to the circle. Find x. | C | ['22', '24', '26', '28'] | multi_choice |
geo252 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/252.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. | B | ['4', '5', '7', '11'] | multi_choice |
geo253 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/253.png | A D and C G are diameters of \odot B. Find m \widehat A C. | B | ['90', '125', '135', '145'] | multi_choice |
geo254 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/254.png | Find the area of the figure. Round to the nearest tenth if necessary. | C | ['512', '562.3', '612.5', '713.1'] | multi_choice |
geo255 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/255.png | Find the value of x. | A | ['71', '81', '86', '106'] | multi_choice |
geo256 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/256.png | Find x. | C | ['8', '16', '16 \\sqrt { 3 }', '32'] | multi_choice |
geo257 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/257.png | If b = 3, find a. | B | ['\\sqrt { 2 }', '\\sqrt { 3 }', '\\sqrt { 6 }', '\\sqrt { 7 }'] | multi_choice |
geo258 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/258.png | Find m \angle 1. | B | ['28', '38', '52', '62'] | multi_choice |
geo259 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/259.png | Find R T. | C | ['3', '7', '13', '19'] | multi_choice |
geo260 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/260.png | In \odot E, E G = E F. Find A B. | C | ['9', '18', '27', '36'] | multi_choice |
geo261 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/261.png | If the circumference of the circle is 16 \pi units, what is the total area of the shaded regions? | C | ['8 \\pi', '12 \\pi', '32 \\pi', '64 \\pi'] | multi_choice |
geo262 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/262.png | Find the base of the parallelogram given its area with 2000 square units. | C | ['30', '40', '50', '60'] | multi_choice |
geo263 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/263.png | Find the value of x in the figure at the right. | C | ['4.56', '4.97', '5.42', '6.21'] | multi_choice |
geo264 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/264.png | Find the area of the regular polygon. Round to the nearest tenth. | C | ['40.5', '81', '162', '324'] | multi_choice |
geo265 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/265.png | Find the perimeter of parallelogram A B C D to the nearest tenth. | C | ['23.1', '23.9', '34.6', '43.1'] | multi_choice |
geo266 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/266.png | In rhombus A B C D, m \angle D A B = 2, m \angle A D C and C B = 6. Find m \angle D A B. | C | ['60', '90', '120', '180'] | multi_choice |
geo267 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/267.png | Quadrilateral W X Y Z is a rectangle. If P Y = 3 x - 5 and W P = 2 x + 11, find Z P. | D | ['8', '16', '32', '43'] | multi_choice |
geo268 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/268.png | If a = 4, find c. | A | ['8', '10', '12', '14'] | multi_choice |
geo269 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/269.png | Find the area of the kite. | C | ['42', '63', '84', '105'] | multi_choice |
geo270 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/270.png | W X Y Z is a square. If W T = 3. Find m \angle W Y X. | B | ['30', '45', '60', '75'] | multi_choice |
geo271 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/271.png | In the figure, m \angle 3 = 133. Find m \angle 5. | D | ['47', '113', '123', '133'] | multi_choice |
geo272 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/272.png | Find x. Assume that segments that appear to be tangent are tangent. | C | ['24', '28', '32', '36'] | multi_choice |
geo273 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/273.png | Find the area of the shaded region. Round to the nearest tenth if necessary. | B | ['112', '202', '256', '270'] | multi_choice |
geo274 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/274.png | Find P N. | C | ['9', '10', '11', '12'] | multi_choice |
geo275 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/275.png | Find A F. | B | ['5', '11', '22', '32'] | multi_choice |
geo276 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/276.png | Find m \widehat E S. | D | ['40', '50', '80', '100'] | multi_choice |
geo277 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/277.png | Find z. | D | ['4', '2 \\sqrt { 5 }', '6', '2 \\sqrt { 13 }'] | multi_choice |
geo278 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/278.png | Use parallelogram P Q R S to find m \angle S. | D | ['5', '15', '53', '128'] | multi_choice |
geo279 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/279.png | Circle W has a radius of 4 units, \odot Z has a radius of 7 units, and X Y = 2. Find I X. | B | ['2', '6', '12', '18'] | multi_choice |
geo280 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/280.png | Find the value of the variable x in the figure. | A | ['60', '70', '110', '120'] | multi_choice |
geo281 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/281.png | Circles G, J, and K all intersect at L. If G H = 10. Find F G. | A | ['10', '15', '20', '30'] | multi_choice |
geo282 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/282.png | Find y. | C | ['30', '37.5', '45', '90'] | multi_choice |
geo283 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/283.png | Find y. | B | ['3', '3 \\sqrt { 2 }', '6', '6 \\sqrt { 2 }'] | multi_choice |
geo284 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/284.png | Find J L. | C | ['6', '12', '24', '42'] | multi_choice |
geo285 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/285.png | If m \widehat A E = 75, find m \angle A D E. | A | ['37.5', '75', '102.5', '135'] | multi_choice |
geo286 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/286.png | Find y. | B | ['3', '4', '5', '6'] | multi_choice |
geo287 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/287.png | Find m \angle 1. | C | ['86', '94', '110', '134'] | multi_choice |
geo288 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/288.png | For the pair of similar figures, use the given areas to find x. | C | ['9.0', '11.2', '17.5', '21.9'] | multi_choice |
geo289 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/289.png | Find the measure of \angle 2. | B | ['68', '70', '80', '82'] | multi_choice |
geo290 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/290.png | Find y. | B | ['5.5', '5.5 \\sqrt { 3 }', '11', '11 \\sqrt { 3 }'] | multi_choice |
geo291 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/291.png | Find the value of x. | D | ['25', '37', '39', '58'] | multi_choice |
geo292 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/292.png | Find the perimeter of the triangle. Round to the nearest tenth if necessary. | C | ['65.4', '67.9', '69.9', '71.6'] | multi_choice |
geo293 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/293.png | \triangle L M N \cong \triangle Q R S. Find y. | C | ['5', '12', '18', '24'] | multi_choice |
geo294 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/294.png | Find y so that the quadrilateral is a parallelogram. | B | ['4', '7', '11', '14'] | multi_choice |
geo295 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/295.png | Find y. | D | ['6', '17', '\\frac { 289 } { 6 }', '\\frac { 325 } { 6 }'] | multi_choice |
geo296 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/296.png | Find m \angle 7. | C | ['28.5', '56', '57', '58'] | multi_choice |
geo297 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/297.png | Find m \angle Y X W. | C | ['25', '65', '115', '180'] | multi_choice |
geo298 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/298.png | If m \angle F = 7 x + 2 and m \angle H = 17 x - 8, find x. | C | ['2', '3', '4', '5'] | multi_choice |
geo299 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/299.png | Find y. | C | ['8', '8 \\sqrt { 3 }', '16', '16 \\sqrt { 3 }'] | multi_choice |
geo300 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/300.png | Find the measure of \angle A. | C | ['35', '112', '158', '180'] | multi_choice |
geo301 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/301.png | As shown in the figure, given that AB ∥ CD and ∠1 = 56°, what is the degree of ∠2? | B | ['34°', '56°', '65°', '124°'] | multi_choice |
geo302 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/302.png | As shown in the figure: The perimeter of △ABC is 30 cm. Fold the side AC of △ABC so that vertex C coincides with point A. The crease intersects side BC at point D and intersects side AC at point E. Connect AD. If AE = 4 cm, what is the perimeter of △ABD? | A | ['22cm', '20cm', '18cm', '15cm'] | multi_choice |
geo303 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/303.png | As shown in the figure, AB is a chord of circle O, radius OC is perpendicular to AB at point D, and AB = 6 cm, OD = 4 cm. What is the length of DC? | D | ['5cm', '2.5cm', '2cm', '1cm'] | multi_choice |
geo304 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/304.png | As shown in the figure, AC bisects ∠BAD, ∠B = ∠D, AB = 8cm, then AD = () | B | ['6cm', '8cm', '10cm', '4cm'] | multi_choice |
geo305 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/305.png | As shown in the figure, ∠1 = ∠B, ∠2 = 25°, then ∠D = () | A | ['25°', '45°', '50°', '65°'] | multi_choice |
geo306 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/306.png | As shown in the figure, point D is on the extension of side AB of triangle △ABC, and BE is parallel to AC. If ∠C = 50° and ∠DBE = 60°, what is the measure of ∠DBC? | C | ['70°', '100°', '110°', '120°'] | multi_choice |
geo307 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/307.png | As shown in the figure, in △ABC, AB=AC, D is the midpoint of BC, ∠BAD=35°, then the degree of ∠C is () | C | ['35°', '45°', '55°', '60°'] | multi_choice |
geo308 | /home/yz979/scratch/chengye/math/data/original_set/geoset/images/images/308.png | As shown in the figure, the perimeter of triangle △ABC is 21, and AB=AC, BC=5. The perpendicular bisector of AB, DE, intersects AB at point D and intersects AC at point E. What is the perimeter of △BEC? | A | ['13', '14', '15', '16'] | multi_choice |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.