id stringlengths 29 36 | conversations listlengths 1 48 | images listlengths 1 1 | source_dataset stringclasses 2
values |
|---|---|---|---|
vision_r1_mulberry_sft_full-194181 | [
{
"from": "user",
"value": "<image>As shown in the figure, quadrilateral ABCD is inscribed in circle O, with DA=DC. If angle CBE=45°, then the measure of angle DAC is ()\nChoices:\nA: 70°\nB: 67.5°\nC: 62.5°\nD: 65°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to solve this prob... | [
"mulberry_images/geoqa_plus/10100.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194182 | [
{
"from": "user",
"value": "<image>If a rectangular strip of paper ABCD is folded along line AF, and angle ADB measures 32°, with AE running parallel to BD, what is the degree measure of angle DAF?\nChoices:\nA: 30°\nB: 28°\nC: 29°\nD: 26°"
},
{
"from": "assistant",
"value": "<think> Okay, let's... | [
"mulberry_images/geoqa_plus/10511.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194183 | [
{
"from": "user",
"value": "<image>According to the figure, circle O is illustrated with AB as its diameter, along with point C situated at the midpoint of the arc and point D positioned on the circle O on the opposite side of AB. What is the angle measurement of angle D?\nChoices:\nA: 30°\nB: 45°\nC: 60°\n... | [
"mulberry_images/geoqa_plus/10371.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194184 | [
{
"from": "user",
"value": "<image>In the figure shown, if triangle ABC and triangle DEC have equal areas, and E lies on the edge of BC, where DE is parallel to AB and intersects AC at point F, while AB measures 6.0 units and EF measures 4.0 units, what is the length of DF?\nChoices:\nA: 3\nB: 4\nC: 5\nD: 6... | [
"mulberry_images/geoqa_plus/7466.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194185 | [
{
"from": "user",
"value": "<image>Given a right triangle where the 60.0 angle vertex is placed on the center O, and the hypotenuse and the leg intersect circle O at points A and B respectively, if P is any point on the major arc AB (not coincident with A and B), what is the measurement of angle APB?\nChoic... | [
"mulberry_images/geoqa_plus/8439.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194186 | [
{
"from": "user",
"value": "<image>If AB is parallel to CD, and AC intersects BD at O, with angle A at 25 degrees and angle D at 45 degrees, what is the measurement of angle AOB in the diagram?\nChoices:\nA: 90°\nB: 110°\nC: 120°\nD: 135°"
},
{
"from": "assistant",
"value": "<think> Alright, let... | [
"mulberry_images/geoqa_plus/10420.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194187 | [
{
"from": "user",
"value": "<image>If AB is the diameter of circle O, and points C and D are on the circle, and angle AOC measures 126°, what would be the degree measure of angle CDB?\nChoices:\nA: 54°\nB: 64°\nC: 27°\nD: 37°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figur... | [
"mulberry_images/geoqa_plus/10317.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194188 | [
{
"from": "user",
"value": "<image>Suppose in the diagram of rhombus ABCD, angle D is 150 degrees, what can be said about the degree measurement of angle BAC?\nChoices:\nA: 30°\nB: 25°\nC: 20°\nD: 15°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So the problem is about a rhombus... | [
"mulberry_images/geoqa_plus/10710.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194189 | [
{
"from": "user",
"value": "<image>Given the parallel lines AB and CD in the figure, along with the point G lying on line CD, the point E lying between line AB and line CD, and the point F positioned above line AB, determine the collective value of angle 1 and angle 2 using the provided angles F and EGF.\nC... | [
"mulberry_images/geoqa_plus/10521.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194190 | [
{
"from": "user",
"value": "<image>The figure given shows line segment AB and line segment CD, both intersected by BC. If AB is parallel to CD, angle 1 measures 50°, and angle 2 measures 40°, what is the measure of angle 3?\nChoices:\nA: 80°\nB: 70°\nC: 90°\nD: 100°"
},
{
"from": "assistant",
"v... | [
"mulberry_images/geoqa_plus/10789.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194191 | [
{
"from": "user",
"value": "<image>In the provided figures, picture ① represents a standard campstool, while picture ② displays the side view of the campstool after it undergoes stretching. In the stretched version, the lengths of legs AB and CD are equal, with their midpoint labeled as point O. To ensure b... | [
"mulberry_images/geoqa_plus/5529.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194192 | [
{
"from": "user",
"value": "<image>If angle BAC equals 36 degrees, and point O lies on side AB, with circle O tangent to side AC at point D and intersecting side AB at points E and F, what is the value of angle AFD after connecting FD?\nChoices:\nA: 27°\nB: 29°\nC: 35°\nD: 37°"
},
{
"from": "assista... | [
"mulberry_images/geoqa_plus/10166.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194193 | [
{
"from": "user",
"value": "<image>If the diagram shows lines a and b as parallel, and angle 1 is 60°, then what is the degree measure of angle 2?\nChoices:\nA: 90°\nB: 100°\nC: 110°\nD: 120°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure this out. So, the problem illustr... | [
"mulberry_images/geoqa_plus/10442.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194194 | [
{
"from": "user",
"value": "<image>Given that AC is perpendicular to BC and AB is parallel to DE, and angle A equals 50°, can you determine the degree measure of angle BCE?\nChoices:\nA: 70°\nB: 60°\nC: 50°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the me... | [
"mulberry_images/geoqa_plus/10845.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194195 | [
{
"from": "user",
"value": "<image>In the heptagon ABCDEFG, if the extended lines EF and BA intersect at point P and the sum of the exterior angles of angles ABC, BCD, CDE, and DEF is 230°, then what is the measurement of angle P?\nChoices:\nA: 40°\nB: 45°\nC: 50°\nD: 55°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/10073.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194196 | [
{
"from": "user",
"value": "<image>Showcased in the illustration, circle O is intersected by the line OB at point C, and AB is tangent to circle O at point A. Point D is also situated on circle O, and the lines AD, CD, and OA are connected. If the measure of angle ABO is 20 degrees, what is the degree measu... | [
"mulberry_images/geoqa_plus/10138.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194197 | [
{
"from": "user",
"value": "<image>Triangle ABC is depicted in the diagram, with O being the circumcircle. When angle ACB measures 50 degrees, what is the measure of angle ABO?\nChoices:\nA: 30°\nB: 40°\nC: 45°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So there's tria... | [
"mulberry_images/geoqa_plus/10542.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194198 | [
{
"from": "user",
"value": "<image>If angle ACB in right triangle ABC measures 90 degrees, CD is the altitude on side AB, CE is the median on side AB, AD measures 3 units, and CE measures 5 units, what is the numerical value of tangent of angle BCE?\nChoices:\nA: 0.5\nB: \\frac{√21}{7}\nC: \\frac{√5}{5}\nD:... | [
"mulberry_images/geoqa_plus/10628.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194199 | [
{
"from": "user",
"value": "<image>What is the sum of the measures of angle A, angle B, angle C, angle D, angle E, and angle F as shown in the diagram?\nChoices:\nA: 90°\nB: 130°\nC: 180°\nD: 360°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is asking for the sum of ... | [
"mulberry_images/geoqa_plus/10067.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194200 | [
{
"from": "user",
"value": "<image>Given that AB is the diameter of circle O, and MN is a tangent to circle O with point of tangency at N, and angle MNB is 52°, what is the degree measure of angle NOA?\nChoices:\nA: 52°\nB: 56°\nC: 54°\nD: 76°"
},
{
"from": "assistant",
"value": "<think> Okay, l... | [
"mulberry_images/geoqa_plus/10402.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194201 | [
{
"from": "user",
"value": "<image>Given that quadrilateral ABCD is inscribed in circle O in the diagram and angle DCE equals 65 degrees, what is the degree measure of angle A?\nChoices:\nA: 112°\nB: 68°\nC: 65°\nD: 52°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the mea... | [
"mulberry_images/geoqa_plus/10131.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194202 | [
{
"from": "user",
"value": "<image>Angle DEF is located in the diagram where line AB intersects CD at point E, angle CEB is measured at 45 degrees, and EF forms a perpendicular with AE. What is the degree measure of angle DEF?\nChoices:\nA: 125°\nB: 135°\nC: 145°\nD: 155°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/10809.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194203 | [
{
"from": "user",
"value": "<image>When points A, B, C, and D are positioned around circle O with O as the center, the quadrilateral OABC is formed by connecting AD, BD, and consecutively connecting O, A, B, C. Given that OA and BC are of equal length, and OC and AB are of equal length, what is the angle me... | [
"mulberry_images/geoqa_plus/10142.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194204 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle CBD if triangle ABC is circumscribed about circle O, and angle A measures 50 degrees, with OD being perpendicular to BC and the foot at E as shown in the diagram?\nChoices:\nA: 50°\nB: 60°\nC: 25°\nD: 30°"
},
{
"from": "assistant... | [
"mulberry_images/geoqa_plus/10190.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194205 | [
{
"from": "user",
"value": "<image>If AB is the diameter of circle O, and points C and D are on the circle, with AD, CD, AC, and BC all connected, then what would be the degree of angle ADC, given that angle CAB is 35 degrees as shown in the figure?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: 65°"
},
{
"f... | [
"mulberry_images/geoqa_plus/10272.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194206 | [
{
"from": "user",
"value": "<image>If in the given figure, line AB intersects with CD at point O, and angle BOD is 50°, what is the degree measure of angle AOM when ray OM bisects angle BOD?\nChoices:\nA: 155°\nB: 140°\nC: 130°\nD: 135°"
},
{
"from": "assistant",
"value": "<think> Okay, so I nee... | [
"mulberry_images/geoqa_plus/10741.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194207 | [
{
"from": "user",
"value": "<image>As shown in the figure, in triangle ABC, AB = AC, the vertices D and E of triangle ADE are on BC and AC respectively, and angle DAE = 90.0, AD = AE, if angle C + angle BAC = 145.0, then the degree of angle EDC for()\nChoices:\nA: 17.5°\nB: 12.5°\nC: 12°\nD: 10°"
},
{
... | [
"mulberry_images/geoqa_plus/1055.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194208 | [
{
"from": "user",
"value": "<image>If in the diagram, the bisector BE intersects DC at point E in quadrilateral ABCD, and angle A is 60°, what is the measure of angle DEB?\nChoices:\nA: 130°\nB: 125°\nC: 120°\nD: 115°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this o... | [
"mulberry_images/geoqa_plus/10032.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194209 | [
{
"from": "user",
"value": "<image>In the provided diagram, with points A, B, and C located on circle O and angle BOC equal to 130 degrees, what is the degree measure of angle A?\nChoices:\nA: 65°\nB: 60°\nC: 55°\nD: 50°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem i... | [
"mulberry_images/geoqa_plus/10326.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194210 | [
{
"from": "user",
"value": "<image>In the provided diagram, the diameter AB of circle O is represented by variable u where u = 4.0 units. Point C is located on circle O, and the angle bisector of angle ACB intersects circle O at point D. By connecting AD and BD, what is the value of AD, denoted as variable ... | [
"mulberry_images/geoqa_plus/3061.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194211 | [
{
"from": "user",
"value": "<image>If the ruler and triangle ruler with a 30.0 degree angle are placed together according to the given figure, and angle 1 measures 20.0 degrees, what will be the measure of angle 2?\nChoices:\nA: 30°\nB: 40°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<t... | [
"mulberry_images/geoqa_plus/1033.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194212 | [
{
"from": "user",
"value": "<image>In the provided diagram, if the measure of angle AEB is represented by the variable u where u = 50.0 degrees, what is the measure of angle P, expressed as variable v in relation to u?\nChoices:\nA: 130°\nB: 80°\nC: 50°\nD: 45°"
},
{
"from": "assistant",
"value"... | [
"mulberry_images/geoqa_plus/4190.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194213 | [
{
"from": "user",
"value": "<image>As depicted in the figure, circle O has AB as its diameter, and triangle ABC is inscribed within the circle. Point D is located on AB, where BC is equal to BD. If CD is extended to intersect circle O at point E, and then AE is connected, what is the measurement of angle CA... | [
"mulberry_images/geoqa_plus/10333.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194214 | [
{
"from": "user",
"value": "<image>In the given figure, let OC be connected, with PC tangent to circle O at point C and intersecting the extended diameter AB at point P. If the radius of circle O is denoted by 'r' units (r = 5.0) and the angle between the diameter AB and the chord AC is denoted by 'θ' degre... | [
"mulberry_images/geoqa_plus/4088.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194215 | [
{
"from": "user",
"value": "<image>Given that triangle ADC is inscribed in circle O and BC is the diameter of the circle, with angle A measuring 66 degrees, what is the measure of angle BCD in the diagram?\nChoices:\nA: 14°\nB: 24°\nC: 34°\nD: 66°"
},
{
"from": "assistant",
"value": "<think> Oka... | [
"mulberry_images/geoqa_plus/10339.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194216 | [
{
"from": "user",
"value": "<image>In triangle ABC, where point O is the center of the incircle, angle OAC measures 40°. Determine the measure of angle BOC.\nChoices:\nA: 80°\nB: 100°\nC: 130°\nD: 140°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. I need to find the measure of an... | [
"mulberry_images/geoqa_plus/10641.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194217 | [
{
"from": "user",
"value": "<image>When looking at the diagram, if quadrilateral ABCD is inscribed in circle O and angle DCE is 65 degrees, what is the degree measurement of angle A?\nChoices:\nA: 112°\nB: 68°\nC: 65°\nD: 52°"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem is a... | [
"mulberry_images/geoqa_plus/10131.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194218 | [
{
"from": "user",
"value": "<image>In the provided figure, line AB is parallel to line CD, while line EF intersects points E and F on AB and CD, and line EG bisects angle AEF. If angle 1 is 35 degrees, what is the measure of angle 2?\nChoices:\nA: 35°\nB: 55°\nC: 68°\nD: 70°"
},
{
"from": "assistant... | [
"mulberry_images/geoqa_plus/10434.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194219 | [
{
"from": "user",
"value": "<image>Let point O be the intersection of the straight lines AB and CD in the figure provided. The line segment OE is perpendicular to AB, with O as the foot of the perpendicular. If angle EOD measures 25 degrees, what is the degree measure of angle AOC?\nChoices:\nA: 35°\nB: 45°... | [
"mulberry_images/geoqa_plus/10790.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194220 | [
{
"from": "user",
"value": "<image>In the diagram, where line AB is parallel to line CD, and line AE bisects angle CAB while intersecting CD at point E, with angle C measured as 100 degrees, what is the measure of angle AED?\nChoices:\nA: 110°\nB: 125°\nC: 135°\nD: 140°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/10507.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194221 | [
{
"from": "user",
"value": "<image>Given a rectangle ABCD with diagonal AC intersecting diagonal BD at point O, and with AD measuring √3 and AB measuring 1, what is the value of angle BOC?\nChoices:\nA: 60°\nB: 60°\nC: 120°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to ... | [
"mulberry_images/geoqa_plus/10685.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194222 | [
{
"from": "user",
"value": "<image>In parallelogram ABCD, with EF being parallel to AB, and the ratio of DE to EA being 2.0:3.0, with EF measuring 4.0 units, what is the measure of CD?\nChoices:\nA: \\frac{16}{3}\nB: 8\nC: 10\nD: 16"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. S... | [
"mulberry_images/geoqa_plus/7786.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194223 | [
{
"from": "user",
"value": "<image>Given that AB is parallel to CD in the figure provided and the ratio of angle 1 to angle 2 is 7:11, determine the degree measure of angle 2.\nChoices:\nA: 60°\nB: 70°\nC: 80°\nD: 110°"
},
{
"from": "assistant",
"value": "<think> Okay, let me see. So, the proble... | [
"mulberry_images/geoqa_plus/10753.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194224 | [
{
"from": "user",
"value": "<image>If AB is the diameter of circle O, and points C and D are both on the circle, and angle CAB measures 50 degrees, what is the measure of angle ADC?\nChoices:\nA: 110°\nB: 120°\nC: 130°\nD: 140°"
},
{
"from": "assistant",
"value": "<think> Okay, so we have a circ... | [
"mulberry_images/geoqa_plus/10298.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194225 | [
{
"from": "user",
"value": "<image>In the given diagram, it's shown that line a is parallel to line b, and the right-angled vertex C of right triangle ABC lies on line b. What would be the degree measure of angle 2 if angle 1 equals 20 degrees?\nChoices:\nA: 40\nB: 50\nC: 60\nD: 70"
},
{
"from": "as... | [
"mulberry_images/geoqa_plus/10451.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194226 | [
{
"from": "user",
"value": "<image>In the given equation, what is the total measure of angle A, angle B, angle C, angle D, angle E, and angle F, as shown in the figure?\nChoices:\nA: 90°\nB: 130°\nC: 180°\nD: 360°"
},
{
"from": "assistant",
"value": "<think> Okay, so there are two triangles here... | [
"mulberry_images/geoqa_plus/10016.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194227 | [
{
"from": "user",
"value": "<image>What is the size of angle CAD in the regular pentagon ABCDE according to the provided diagram?\nChoices:\nA: 72°\nB: 45°\nC: 36°\nD: 35°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure out the angle CAD in the regular pentagon ABCDE. So ... | [
"mulberry_images/geoqa_plus/10602.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194228 | [
{
"from": "user",
"value": "<image>In the provided diagram, let's assign the value of 20.0 degrees to angle C, denoted as variable u. If AB represents the diameter of circle O and points C and D lie on circle O, what is the numerical value of the degree measure of angle ABD, represented by variable v in rel... | [
"mulberry_images/geoqa_plus/8495.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194229 | [
{
"from": "user",
"value": "<image>Consider the figure showing triangle ABC, where CD is the median on the hypotenuse AB. What is the value of angle BCD if angle A is 35 degrees?\nChoices:\nA: 35°\nB: 45°\nC: 60°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure thi... | [
"mulberry_images/geoqa_plus/10700.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194230 | [
{
"from": "user",
"value": "<image>In the figure, lines m and n are parallel to each other. If angle 1 is determined to be 40 degrees, what is the degree measurement of angle 2?\nChoices:\nA: 130°\nB: 140°\nC: 150°\nD: 160°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the... | [
"mulberry_images/geoqa_plus/10872.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194231 | [
{
"from": "user",
"value": "<image>What is the measure of angle MON in the provided figure, which showcases a regular pentagon ABCDE? Points M and N are situated on sides AB and BC, respectively, and it is given that AM and BN have equal length. Point O represents the center of the pentagon.\nChoices:\nA: 4... | [
"mulberry_images/geoqa_plus/10660.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194232 | [
{
"from": "user",
"value": "<image>In the provided diagram, triangle ABC is shown with AB measuring the same as AC, equal to 12.0 units. Point D lies on side AC, with DC equal to 4.0 units. By moving the line segment DC by 7.0 units in the direction of CB, we obtain the line segment EF, with vertices E and ... | [
"mulberry_images/geoqa_plus/1434.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194233 | [
{
"from": "user",
"value": "<image>In the provided figure, let's represent the perimeter of diamond ABCD as variable P (P = 16) and the measure of angle DAB as variable x (x = 60°). What is the value of BD, expressed as variable y in relation to P and x?\nChoices:\nA: 10\nB: 8\nC: 4\nD: 2"
},
{
"fro... | [
"mulberry_images/geoqa_plus/12142.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194234 | [
{
"from": "user",
"value": "<image>In the given diagram, let's denote the perimeter of triangle AOB as variable x and the perimeter of triangle AOD as variable y. If the difference between x and y is 5, and AB:AD=2:1, what is the perimeter of parallelogram ABCD, expressed as variable z in terms of x and y?\... | [
"mulberry_images/geoqa_plus/12357.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194235 | [
{
"from": "user",
"value": "<image>What is the size of angle BDC if AB acts as the diameter of circle O and point D is positioned on the circle, while angle AOC measures 130°?\nChoices:\nA: 70°\nB: 50°\nC: 25°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this o... | [
"mulberry_images/geoqa_plus/10293.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194236 | [
{
"from": "user",
"value": "<image>In the given diagram, let angle AOM be denoted as x degrees and angle ANO as y degrees. If angle MBN is 60.0 degrees, what is the value of angle A?\nChoices:\nA: 60°\nB: 70°\nC: 80°\nD: 140°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this g... | [
"mulberry_images/geoqa_plus/4455.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194237 | [
{
"from": "user",
"value": "<image>In the diagram showing points A, B, and C on circle O, if angle B is 32 degrees, what is the measure of angle OAC?\nChoices:\nA: 64°\nB: 58°\nC: 68°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out step by step. So, we ha... | [
"mulberry_images/geoqa_plus/10092.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194238 | [
{
"from": "user",
"value": "<image>In the given figure, with PA serving as the tangent line to circle O at point A, and the extension of PO intersecting circle O at point B, what is the measure of angle B if angle P equals 38 degrees?\nChoices:\nA: 22°\nB: 24°\nC: 26°\nD: 28°"
},
{
"from": "assistan... | [
"mulberry_images/geoqa_plus/10413.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194239 | [
{
"from": "user",
"value": "<image>As per the diagram of circle O, where AB, BC, and CD are all equal and angle AOB is 40 degrees, what is the measure of angle CAD?\nChoices:\nA: 10°\nB: 20°\nC: 30°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this geometry problem ste... | [
"mulberry_images/geoqa_plus/10152.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194240 | [
{
"from": "user",
"value": "<image>The diagram depicts circle O with diameter AB and chords AC and BC. If angle A equals 20°, what is the measurement of angle B?\nChoices:\nA: 70°\nB: 90°\nC: 40°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this circle with center O, and... | [
"mulberry_images/geoqa_plus/10219.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194241 | [
{
"from": "user",
"value": "<image>In the provided diagram, let's denote angle 1 as variable 'a' (a = 50.0 degrees) and angle 2 as variable 'b' (b = 110.0 degrees). What is the degree measure of angle E, expressed as variable 'c' in relation to 'a' and 'b'?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 30°"
},
... | [
"mulberry_images/geoqa_plus/405.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194242 | [
{
"from": "user",
"value": "<image>If in triangle MNB, BN measures 6.0 units and points A, C, and D are positioned on segments MB, NB, and MN respectively, and quadrilateral ABCD is a parallelogram with angle NDC being equal to angle MDA, what is the sum of all the sides of quadrilateral ABCD?\nChoices:\nA:... | [
"mulberry_images/geoqa_plus/9546.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194243 | [
{
"from": "user",
"value": "<image>If angle 1 measures 130° and line a is parallel to line b in the provided diagram, what is the measure of angle 2?\nChoices:\nA: 70°\nB: 60°\nC: 50°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this problem where angle 1 is 130 degrees,... | [
"mulberry_images/geoqa_plus/10885.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194244 | [
{
"from": "user",
"value": "<image>Given that angle ABO measures 25 degrees and O is the circumcircle of triangle ABC, what is the value of angle ACB in the diagram?\nChoices:\nA: 50°\nB: 55°\nC: 65°\nD: 75°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem shows that in ... | [
"mulberry_images/geoqa_plus/10165.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194245 | [
{
"from": "user",
"value": "<image>In the diagram, with points A, B, and C lying on circle O and angle A measuring 64°, what is the degree measure of angle OCB?\nChoices:\nA: 24°\nB: 26°\nC: 28°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. There's a circle with center O,... | [
"mulberry_images/geoqa_plus/10229.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194246 | [
{
"from": "user",
"value": "<image>As depicted in the diagram of circle O, with AB, BC, and CD being equal and angle AOB measuring 40 degrees, what is the size of angle CAD?\nChoices:\nA: 10°\nB: 20°\nC: 30°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. So, there's a circ... | [
"mulberry_images/geoqa_plus/10152.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194247 | [
{
"from": "user",
"value": "<image>In the given figure, the regular pentagon ABCDE is enclosed in circle O. What is the degree of angle DAE?\nChoices:\nA: 36°\nB: 26°\nC: 30°\nD: 45°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's a regular pentagon ABCDE inscribed in a circle with... | [
"mulberry_images/geoqa_plus/10645.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194248 | [
{
"from": "user",
"value": "<image>In the given circle, let's denote the measure of angle AOD as variable a (a = 110.0°) and the measure of angle BDC as variable b (b = 20.0°). What is the numerical value of angle P, expressed as variable c in terms of a and b?\nChoices:\nA: 45°\nB: 55°\nC: 60°\nD: 35°"
}... | [
"mulberry_images/geoqa_plus/8794.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194249 | [
{
"from": "user",
"value": "<image>In the quadrilateral ABCD, where AB is not equal to AD, and OE is perpendicular to and bisects AC at E, find the perimeter of the quadrilateral if the perimeter of triangle CDE is 4 units.\nChoices:\nA: 4\nB: 6\nC: 8\nD: 10"
},
{
"from": "assistant",
"value": "... | [
"mulberry_images/geoqa_plus/12180.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194250 | [
{
"from": "user",
"value": "<image>Given AB as the diameter of circle O and perpendicular chord CD, if chord AF is extended to intersect DC at E, and angle DFC is 48°, what is the degree of angle CFE?\nChoices:\nA: 60°\nB: 66°\nC: 68°\nD: 72°"
},
{
"from": "assistant",
"value": "<think> Okay, le... | [
"mulberry_images/geoqa_plus/10254.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194251 | [
{
"from": "user",
"value": "<image>What is the degree of angle 1 when the set square is set up in the manner shown in the figure?\nChoices:\nA: 90°\nB: 100°\nC: 105°\nD: 135°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure out this angle problem. So, the image is a right ... | [
"mulberry_images/geoqa_plus/10423.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194252 | [
{
"from": "user",
"value": "<image>What is the measure of angle CDE if a regular ruler intersects with a right angle triangle ruler at points D and E, and its other side passes through point A and intersects with the right angle side BC at point F, while angle CAF measures 42° in the diagram?\nChoices:\nA: ... | [
"mulberry_images/geoqa_plus/10436.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194253 | [
{
"from": "user",
"value": "<image>Triangle ABC is inscribed in circle O with AB as the diameter, and point D lies on circle O. If the angle BAC is 35°, what is the degree measure of angle ADC as per the diagram?\nChoices:\nA: 45°\nB: 50°\nC: 55°\nD: 65°"
},
{
"from": "assistant",
"value": "<thi... | [
"mulberry_images/geoqa_plus/10418.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194254 | [
{
"from": "user",
"value": "<image>In the given diagram, line AB serves as the tangent to circle O at point A, and line OB intersects circle O at point C. Point D is located on circle O. Connecting AD, CD, and OA, what is the degree measure of angle ABO if angle ADC equals 30 degrees?\nChoices:\nA: 25°\nB: ... | [
"mulberry_images/geoqa_plus/10154.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194255 | [
{
"from": "user",
"value": "<image>When angle C is measured at 80.0 degrees in the circle inscribed within the quadrilateral ABCD shown in the figure, what is the measure of angle A?\nChoices:\nA: 120°\nB: 100°\nC: 80°\nD: 90°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this qu... | [
"mulberry_images/geoqa_plus/104.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194256 | [
{
"from": "user",
"value": "<image>In the given diagram, the zero-degree lines of two protractors align with the straight line AB, and the center of the smaller protractor is on the outer edge of the larger protractor. If the degree marking corresponding to point P on their outer edges is 50.0 on the larger... | [
"mulberry_images/geoqa_plus/8806.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194257 | [
{
"from": "user",
"value": "<image>The diagram shows line AB as a tangent to circle O at point A, and line OB as intersecting circle O at point C. Given that point D is on circle O and angle ADC is 28 degrees, what is the measure of angle ABO?\nChoices:\nA: 28°\nB: 34°\nC: 56°\nD: 62°"
},
{
"from": ... | [
"mulberry_images/geoqa_plus/10406.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194258 | [
{
"from": "user",
"value": "<image>Given that a ring-shaped carpet is being installed in the lobby of a hotel, and the worker measures the length of chord AB of the great circle tangent to the small circle as 20.0, what is the area of the ring carpet?\nChoices:\nA: 10平方米\nB: 10π平方米\nC: 100平方米\nD: 100π平方米"
... | [
"mulberry_images/geoqa_plus/1010.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194259 | [
{
"from": "user",
"value": "<image>In circle O, if OA and OB are radii and AB, AC, and BC are chords, and angle OAB is 70 degrees, then what is the degree of angle C?\nChoices:\nA: 40°\nB: 70°\nC: 20°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Alright, let's tackle this geometry proble... | [
"mulberry_images/geoqa_plus/10332.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194260 | [
{
"from": "user",
"value": "<image>In the figure provided, point A marks the intersection of DA and AB, forming a right angle. Similarly, point D marks the intersection of CD and DA, also forming a right angle. If angle B is known to be 63 degrees, what can be determined about the measurement of angle C?\nC... | [
"mulberry_images/geoqa_plus/10880.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194261 | [
{
"from": "user",
"value": "<image>In the diagram provided, circle O has the tangent CD with the point of tangency at D. The line CO intersects the circle at points B and A, where angle A is 15 degrees. What is the measure of angle C?\nChoices:\nA: 45°\nB: 65°\nC: 60°\nD: 70°"
},
{
"from": "assistan... | [
"mulberry_images/geoqa_plus/10357.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194262 | [
{
"from": "user",
"value": "<image>In the provided figure, with BC being the diameter of circle O and angle AOC measuring 58 degrees, what is the degree measure of angle A?\nChoices:\nA: 28°\nB: 29°\nC: 32°\nD: 42°"
},
{
"from": "assistant",
"value": "<think> Okay, let me see. So there's a circl... | [
"mulberry_images/geoqa_plus/10083.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194263 | [
{
"from": "user",
"value": "<image>In parallelogram ABCD with intersecting diagonals at point O and AD＞CD, line OM is perpendicular to AC and intersects AD at point M. If the perimeter of triangle CDM is 7.5, find the perimeter of parallelogram ABCD using advanced geometric methods. Represent the perimeter ... | [
"mulberry_images/geoqa_plus/12160.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194264 | [
{
"from": "user",
"value": "<image>Given that AC and BD intersect at point O in the figure showing parallelogram ABCD, and the perimeter of ABCD is 16.0, with OE being the perpendicular from O to AC and intersecting AD at point E, what is the perimeter of triangle DCE?\nChoices:\nA: 4cm\nB: 6cm\nC: 8cm\nD: ... | [
"mulberry_images/geoqa_plus/9407.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194265 | [
{
"from": "user",
"value": "<image>If line segment OA is rotated counterclockwise around point O by 120 degrees, resulting in OA', and angle B measures 40 degrees, what is the measure of angle BOA' in the figure where BA is tangent to circle O at point A?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
... | [
"mulberry_images/geoqa_plus/10171.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194266 | [
{
"from": "user",
"value": "<image>Given that angle A is 64° and points A, B, and C are on circle O in the diagram, what is the measure of angle OCB?\nChoices:\nA: 24°\nB: 26°\nC: 28°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem displays angle A is 64 degrees... | [
"mulberry_images/geoqa_plus/10229.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194267 | [
{
"from": "user",
"value": "<image>On circle O with points A, B, C, D, and E, where AC equals AE and angle B is 128 degrees, what is the degree measure of angle D?\nChoices:\nA: 108°\nB: 106°\nC: 104°\nD: 102°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the measure... | [
"mulberry_images/geoqa_plus/10094.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194268 | [
{
"from": "user",
"value": "<image>In the provided diagram, there is a right-angled triangle board and a ruler placed in a certain manner. If angle 1 is measured to be 35 degrees, what would be the measurement of angle 2?\nChoices:\nA: 55°\nB: 50°\nC: 45°\nD: 35°"
},
{
"from": "assistant",
"valu... | [
"mulberry_images/geoqa_plus/10784.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194269 | [
{
"from": "user",
"value": "<image>In the given diagram, let's denote the measure of angle BAC as variable u where u = 28.0°. If AB is the diameter of circle O and C and D are points on the circle, what is the degree measure of angle ADC, expressed as variable v in terms of u?\nChoices:\nA: 52°\nB: 56°\nC: ... | [
"mulberry_images/geoqa_plus/9846.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194270 | [
{
"from": "user",
"value": "<image>Circle O is represented with AB as the diameter and BC as the tangent. What is the measure of angle ACB if angle BAC equals 35°?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: 65°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the measure of ... | [
"mulberry_images/geoqa_plus/10195.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194271 | [
{
"from": "user",
"value": "<image>Given the diagram depicting circle O with diameter AC, along with points B and D located on the circle, express the measure of angle BAC using a variable 'α' to represent the measure of angle BOC.\nChoices:\nA: 110^○^\nB: 75^○^\nC: 55^○^\nD: 50^○^"
},
{
"from": "as... | [
"mulberry_images/geoqa_plus/9696.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194272 | [
{
"from": "user",
"value": "<image>If the perpendicular bisector of side AB intersects AB and BC at points D and E, and the perpendicular bisector of side AC intersects AC and BC at points F and G in triangle ABC, and angle BAC equals 100 degrees, then what is the measure of angle EAG?\nChoices:\nA: 10°\nB:... | [
"mulberry_images/geoqa_plus/10465.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194273 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle BAC when it is known that angle BOC is 64° and points A, B, and C are all on circle O in the figure?\nChoices:\nA: 64°\nB: 32°\nC: 26°\nD: 23°"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem is about a circl... | [
"mulberry_images/geoqa_plus/10305.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194274 | [
{
"from": "user",
"value": "<image>Suppose there is a diagram illustrating a right-angled triangle board and a ruler placed according to a specific configuration. If angle 1 is determined to be 35 degrees, what will be the exact value of angle 2?\nChoices:\nA: 55°\nB: 50°\nC: 45°\nD: 35°"
},
{
"from... | [
"mulberry_images/geoqa_plus/10784.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194275 | [
{
"from": "user",
"value": "<image>A figure shows the intersection of lines AB and CD at point O. If the sum of angle 1 and angle 2 measures 80 degrees, what value does angle 2 have?\nChoices:\nA: 80°\nB: 40°\nC: 70°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, let me see. The prob... | [
"mulberry_images/geoqa_plus/10833.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194276 | [
{
"from": "user",
"value": "<image>What is the measure of angle D if angle B measures 110° and points A, B, C, and D are all on the circumference of circle O?\nChoices:\nA: 110°\nB: 70°\nC: 120°\nD: 90°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this cyclic quadrilateral ABCD ... | [
"mulberry_images/geoqa_plus/10916.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194277 | [
{
"from": "user",
"value": "<image>Triangle ABC is shown in the figure, and CD is the median on the hypotenuse AB. What is the degree measure of angle BCD if angle A is 35 degrees?\nChoices:\nA: 35°\nB: 45°\nC: 60°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure t... | [
"mulberry_images/geoqa_plus/10700.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194278 | [
{
"from": "user",
"value": "<image>In the figure provided, triangle ABC is congruent to triangle AED, and point E lies on the line segment BC. If angle 1 is measured at 44 degrees, what is the degree of angle AED?\nChoices:\nA: 70°\nB: 68°\nC: 64°\nD: 62°"
},
{
"from": "assistant",
"value": "<th... | [
"mulberry_images/geoqa_plus/10576.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194279 | [
{
"from": "user",
"value": "<image>The figure shows the intersection of the straight lines AB and CD at point O. Let OE be the perpendicular line segment to AB, with O as the foot of the perpendicular. If the measure of angle EOD is 25 degrees, what is the value of angle AOC?\nChoices:\nA: 35°\nB: 45°\nC: 5... | [
"mulberry_images/geoqa_plus/10790.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194280 | [
{
"from": "user",
"value": "<image>In the provided diagram, let's represent the measure of angle DCB as variable u where u = 20.0 degrees. If AB is the diameter of circle O, what is the degree measure of angle DBA, expressed as variable v in relation to u?\nChoices:\nA: 50°\nB: 20°\nC: 60°\nD: 70°"
},
{... | [
"mulberry_images/geoqa_plus/9827.png"
] | vision_r1_mulberry_sft_full |
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