id stringlengths 29 36 | conversations listlengths 1 48 | images listlengths 1 1 | source_dataset stringclasses 2
values |
|---|---|---|---|
vision_r1_mulberry_sft_full-194381 | [
{
"from": "user",
"value": "<image>With reference to the diagram depicting a right-angled triangle board, where angle F equals 90°, angle ACB equals 90°, angle E equals 45°, and angle A equals 60°, if C is located on the extended line FD, B lies on DE, and AB is parallel to CF, what is the degree measuremen... | [
"mulberry_images/geoqa_plus/10879.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194382 | [
{
"from": "user",
"value": "<image>In the provided diagram, if angle AOB equals 76° and points A, B, and C are positioned on circle O, what is the degree measure of angle C?\nChoices:\nA: 24°\nB: 33°\nC: 38°\nD: 76°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's a circle with cent... | [
"mulberry_images/geoqa_plus/11291.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194383 | [
{
"from": "user",
"value": "<image>In the depicted pentagon ABCDE, where point F is the point of intersection between AC and BE, what is the value of angle AFB?\nChoices:\nA: 100°\nB: 108°\nC: 120°\nD: 135°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the measure of... | [
"mulberry_images/geoqa_plus/11239.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194384 | [
{
"from": "user",
"value": "<image>Could you determine the measure of angle MON in a regular pentagon ABCDE, where points M and N lie on sides AB and BC, respectively? Additionally, it is mentioned that AM is the same length as BN, and point O acts as the center of the pentagon.\nChoices:\nA: 45度\nB: 60度\nC... | [
"mulberry_images/geoqa_plus/10660.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194385 | [
{
"from": "user",
"value": "<image>Based on the information provided in the diagram, if the interior angles of pentagon ABCDE are all equal and angle ADE is equal to angle DAE and angle BDC is equal to angle DBC, what is the measure of angle ADB?\nChoices:\nA: 18°\nB: 36°\nC: 72°\nD: 108°"
},
{
"fro... | [
"mulberry_images/geoqa_plus/11230.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194386 | [
{
"from": "user",
"value": "<image>If in triangle ABC, DE runs parallel to BC in the given figure, and AD is 4 while DB is 2, what is the value of DE compared to BC?\nChoices:\nA: \\frac{2}{3}\nB: 0.5\nC: \\frac{3}{4}\nD: \\frac{3}{5}"
},
{
"from": "assistant",
"value": "<think> Okay, let's see.... | [
"mulberry_images/geoqa_plus/11649.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194387 | [
{
"from": "user",
"value": "<image>Consider the diagram provided where AB is parallel to CD. Point M connects the two parallel lines, resulting in lines AM and CM. With angle A measuring 25 degrees and angle AMC measuring 60 degrees, what is the degree measure of angle C?\nChoices:\nA: 40°\nB: 35°\nC: 30°\n... | [
"mulberry_images/geoqa_plus/11188.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194388 | [
{
"from": "user",
"value": "<image>Given the figure with a right-angled triangle and a rectangular piece of paper, if angle 1 measures 47 degrees, what is the degree measurement for angle 2?\nChoices:\nA: 127°\nB: 133°\nC: 137°\nD: 143°"
},
{
"from": "assistant",
"value": "<think> Okay, let's se... | [
"mulberry_images/geoqa_plus/11038.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194389 | [
{
"from": "user",
"value": "<image>In the diagram, if we fold rectangle ABCD along EF and angle AEF measures 112°, what will be the angle 1 equal to?\nChoices:\nA: 43°\nB: 44°\nC: 45°\nD: 46°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this problem step by step. So we have a ... | [
"mulberry_images/geoqa_plus/10750.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194390 | [
{
"from": "user",
"value": "<image>Given an acute triangle ABC with altitudes CD and BE on sides AB and AC respectively, and the intersection point of CD and BE marked as P in the diagram, what is the measure of angle BPD if angle A is 68°?\nChoices:\nA: 58°\nB: 66°\nC: 68°\nD: 78°"
},
{
"from": "as... | [
"mulberry_images/geoqa_plus/11244.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194391 | [
{
"from": "user",
"value": "<image>Given that AB is parallel to DE in the diagram and angle 1 measures 135 degrees, what is the degree measurement of angle D when angle C is a right angle?\nChoices:\nA: 35°\nB: 40°\nC: 45°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. We ... | [
"mulberry_images/geoqa_plus/11035.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194392 | [
{
"from": "user",
"value": "<image>If AC intersects with BE at point F in pentagon ABCDE, what is the measure of angle AFB?\nChoices:\nA: 100°\nB: 108°\nC: 120°\nD: 135°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this pentagon ABCDE, and the lines AC and BE intersect at point ... | [
"mulberry_images/geoqa_plus/11239.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194393 | [
{
"from": "user",
"value": "<image>If the ruler is overlapped with the 45° angle triangle ruler as depicted in the diagram, and angle α is known to be 20°, what can be said about the measure of angle β?\nChoices:\nA: 65°\nB: 70°\nC: 60°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, ... | [
"mulberry_images/geoqa_plus/10732.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194394 | [
{
"from": "user",
"value": "<image>If lines AB and CD intersect at point O in the provided figure, and line OE is perpendicular to AB at point O, with angle COE measuring 55°, what is the degree measure of angle BOD?\nChoices:\nA: 35°\nB: 45°\nC: 30°\nD: 40°"
},
{
"from": "assistant",
"value": "... | [
"mulberry_images/geoqa_plus/10820.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194395 | [
{
"from": "user",
"value": "<image>What is the lateral surface area of a cone when the base radius is 1 and the slant height is 3?\nChoices:\nA: 2π\nB: 3π\nC: 6π\nD: 8π"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is asking for the lateral surface area of a cone. The... | [
"mulberry_images/geoqa_plus/11696.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194396 | [
{
"from": "user",
"value": "<image>In the context where line a runs parallel to line b, point O is positioned on line a, angle AOB is equal to 90 degrees, and angle 1 has a measure of 40 degrees, what would be the degree value of angle 2?\nChoices:\nA: 40°\nB: 50°\nC: 55°\nD: 60°"
},
{
"from": "assi... | [
"mulberry_images/geoqa_plus/10827.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194397 | [
{
"from": "user",
"value": "<image>Given the figure showing triangle ABC, with BE and CE as the internal and external angle bisectors, respectively, intersecting at point E, if angle A measures 60 degrees, what is the size of angle BEC?\nChoices:\nA: 15°\nB: 30°\nC: 45°\nD: 60°"
},
{
"from": "assist... | [
"mulberry_images/geoqa_plus/11271.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194398 | [
{
"from": "user",
"value": "<image>In rectangle ABCD, the intersection of AC and BD occurs at point O. If the area of triangle AOB is 4, then what is the area of the entire rectangle?\nChoices:\nA: 8\nB: 10\nC: 12\nD: 16"
},
{
"from": "assistant",
"value": "<think> Okay, so there's this rectangl... | [
"mulberry_images/geoqa_plus/11579.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194399 | [
{
"from": "user",
"value": "<image>If angle AOB is 76° in circle O, how large is angle C in the diagram where points A, B, and C are depicted on the circle?\nChoices:\nA: 24°\nB: 33°\nC: 38°\nD: 76°"
},
{
"from": "assistant",
"value": "<think> Okay, so there's a circle with center O, and points ... | [
"mulberry_images/geoqa_plus/11291.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194400 | [
{
"from": "user",
"value": "<image>In square ABCD, as shown in the figure, point E is situated on diagonal BD. If angle BCE equals 70°, what is the measure of angle EAD?\nChoices:\nA: 10°\nB: 15°\nC: 20°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try to figure this out. So... | [
"mulberry_images/geoqa_plus/10698.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194401 | [
{
"from": "user",
"value": "<image>In the given figure, triangle ABC is depicted with angle A measuring 64 degrees. At the intersection of the angle bisectors of ABC and ACD lies point A1, generating angle A1. By the same token, the angle bisectors of A1BC and A1CD intersect at point A2, producing angle A2.... | [
"mulberry_images/geoqa_plus/11205.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194402 | [
{
"from": "user",
"value": "<image>What is the measure of angle ABB′ if triangle ABC, with angle C at 90 degrees and angle BAC at 70 degrees, is rotated clockwise around point A by 70 degrees, resulting in the corresponding vertices becoming B′ and C′ in the figure?\nChoices:\nA: 35°\nB: 40°\nC: 45°\nD: 55°... | [
"mulberry_images/geoqa_plus/1134.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194403 | [
{
"from": "user",
"value": "<image>In the diagram depicting triangle ABC, AB is equal to AC. Additionally, AD and CE function as the medians and angle bisectors of triangle ABC respectively. Given that angle CAB measures 40°, what is the degree measure of angle ACE?\nChoices:\nA: 20°\nB: 30°\nC: 35°\nD: 70°... | [
"mulberry_images/geoqa_plus/11255.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194404 | [
{
"from": "user",
"value": "<image>Given the figure shown, where triangle ABC has AD as the median, E as the midpoint of AD, and BE as a connecting line, if the area of triangle ABC is 12, what is the area of triangle ABE?\nChoices:\nA: 2\nB: 3\nC: 4\nD: 6"
},
{
"from": "assistant",
"value": "<t... | [
"mulberry_images/geoqa_plus/11831.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194405 | [
{
"from": "user",
"value": "<image>Given the diagram of triangle ABC, where BC is 6 units and BD is the median, if point E lies on BD and ray AE intersects BC at point F, what is the measure of FC when BE is 2 times DE?\nChoices:\nA: 2\nB: 2.5\nC: 3\nD: 3.5"
},
{
"from": "assistant",
"value": "<... | [
"mulberry_images/geoqa_plus/11414.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194406 | [
{
"from": "user",
"value": "<image>Given that the bottom radius of a cone measures r=6 and its height is h=8, what is the lateral surface area of the cone shown in the figure?\nChoices:\nA: 15π\nB: 30π\nC: 45π\nD: 60π"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is a... | [
"mulberry_images/geoqa_plus/11695.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194407 | [
{
"from": "user",
"value": "<image>In the figure showing triangle ABC with angle C at 90 degrees and angle BAC at 70 degrees, if the triangle is rotated clockwise around point A by 70 degrees and the corresponding vertices become B′ and C′, what is the measure of angle ABB′?\nChoices:\nA: 35°\nB: 40°\nC: 45... | [
"mulberry_images/geoqa_plus/1134.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194408 | [
{
"from": "user",
"value": "<image>As seen in the figure, point O is the intersection of line AB and line CD. Additionally, it is known that angle EOC is bisected by line OA. If the measure of angle BOD is 42°, what is the degree measure of angle EOD? \nChoices:\nA: 96°\nB: 94°\nC: 104°\nD: 106°"
},
{
... | [
"mulberry_images/geoqa_plus/10860.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194409 | [
{
"from": "user",
"value": "<image>In the diagram showing quadrilateral ABCD, midpoints E and F are identified on sides AB and AD respectively. With the length of EF at 6, BC at 13, and CD at 5, what is the area of triangle DBC?\nChoices:\nA: 60\nB: 30\nC: 48\nD: 65"
},
{
"from": "assistant",
"v... | [
"mulberry_images/geoqa_plus/11518.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194410 | [
{
"from": "user",
"value": "<image>In the given picture, the \"Zhao Shuang's string diagram\" consists of four congruent right-angled triangles and a small square, forming a larger square. If the lengths of the two legs of the right-angled triangle measure 5 and 3 respectively, what is the area of the small... | [
"mulberry_images/geoqa_plus/11392.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194411 | [
{
"from": "user",
"value": "<image>Given the regular pentagon ABCDE, where point F is the intersection of an arc drawn with A as the center and AB as the radius, and line segment DF is connected to point D, what is the degree measure of angle FDC?\nChoices:\nA: 18°\nB: 30°\nC: 36°\nD: 40°"
},
{
"fro... | [
"mulberry_images/geoqa_plus/10649.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194412 | [
{
"from": "user",
"value": "<image>According to the given figure, point A is the location where DA forms a right angle with AB, and point D is the location where CD intersects DA at a right angle. If angle B is 63 degrees, what is the angle measure of angle C?\nChoices:\nA: 37°\nB: 27°\nC: 137°\nD: 117°"
... | [
"mulberry_images/geoqa_plus/10880.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194413 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle BOC in triangle ABC, where angle A is 70° and the bisectors of angle ABC and angle ACB intersect at point O?\nChoices:\nA: 125°\nB: 130°\nC: 135°\nD: 140°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. I need t... | [
"mulberry_images/geoqa_plus/11204.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194414 | [
{
"from": "user",
"value": "<image>Determine the area of the unfolded side surface of the cone given that the diameter of the base circle, BC, is 6 and the height OA is 4.\nChoices:\nA: 30π\nB: 12×√{3}×π\nC: 15π\nD: 22.5×π"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem... | [
"mulberry_images/geoqa_plus/11703.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194415 | [
{
"from": "user",
"value": "<image>In the provided diagram, line segments AM and CM bisect angles BAD and BCD, respectively. Given that angle B measures 34° and angle D measures 42°, what is the measure of angle M?\nChoices:\nA: 34°\nB: 38°\nC: 40°\nD: 42°"
},
{
"from": "assistant",
"value": "<t... | [
"mulberry_images/geoqa_plus/11278.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194416 | [
{
"from": "user",
"value": "<image>Given the diagram depicting a triangular ruler with a 60° angle placed on top of another ruler, with the vertex of the 60° angle lying on one side of the ruler and its two sides intersecting with the ruler, if angle 2 is measured at 70°, what value does angle 1 have?\nChoi... | [
"mulberry_images/geoqa_plus/11122.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194417 | [
{
"from": "user",
"value": "<image>If the triangle board's right angle vertex is positioned on one side of the ruler in the provided figure, and angle 1 measures 75°, what is the measure of angle 2?\nChoices:\nA: 10°\nB: 15°\nC: 20°\nD: 25°"
},
{
"from": "assistant",
"value": "<think> Okay, so I... | [
"mulberry_images/geoqa_plus/11194.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194418 | [
{
"from": "user",
"value": "<image>If AB is parallel to CD and angle 1 measures 140° in the provided figure, what is the degree measure of angle D?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see here. The problem displays that AB is paralle... | [
"mulberry_images/geoqa_plus/10972.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194419 | [
{
"from": "user",
"value": "<image>In the given figure, triangle ABC has angle B measuring 38 degrees and angle C measuring 54 degrees. The altitude on side BC is denoted as AE, and AD is the bisector of angle BAC. What is the degree measurement of angle DAE?\nChoices:\nA: 8°\nB: 10°\nC: 12°\nD: 14°"
},
... | [
"mulberry_images/geoqa_plus/11209.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194420 | [
{
"from": "user",
"value": "<image>If in the provided diagram point AB intersects point CD at point O, and angle AOE and angle AOC are complementary angles with angle AOE measuring 20°, what is the degree measure of angle BOD?\nChoices:\nA: 20°\nB: 70°\nC: 90°\nD: 110°"
},
{
"from": "assistant",
... | [
"mulberry_images/geoqa_plus/11005.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194421 | [
{
"from": "user",
"value": "<image>In the given figure where AB is parallel to CD, and F is a point on line CD, if angle B measures 100 degrees and angle E measures 90 degrees, what is the degree measurement of angle EFD?\nChoices:\nA: 10°\nB: 15°\nC: 20°\nD: 25°"
},
{
"from": "assistant",
"valu... | [
"mulberry_images/geoqa_plus/11040.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194422 | [
{
"from": "user",
"value": "<image>Xiao Ming wants to advocate for vision protection by hanging a small visual acuity chart in the study room using a test distance of 3.0, based on the large visual acuity chart with a test distance of 5.0. If the height of \"E\" in the large eye chart is 3.5, then what is t... | [
"mulberry_images/geoqa_plus/1152.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194423 | [
{
"from": "user",
"value": "<image>If in the diagram, line a intersects line b at lines c and d, and the sum of angle 1 and angle 2 is 180 degrees, while angle 3 measures 60 degrees, what is the degree value of angle 4?\nChoices:\nA: 30°\nB: 45°\nC: 60°\nD: 120°"
},
{
"from": "assistant",
"value... | [
"mulberry_images/geoqa_plus/10887.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194424 | [
{
"from": "user",
"value": "<image>Given that AB is parallel to CD and angle 1 measures 95°, what is the degree measure of angle 2?\nChoices:\nA: 85°\nB: 75°\nC: 65°\nD: 55°"
},
{
"from": "assistant",
"value": "<think> Okay, so we have two parallel lines AB and CD, and a transversal cutting thro... | [
"mulberry_images/geoqa_plus/11173.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194425 | [
{
"from": "user",
"value": "<image>According to the provided figure, if AC is equivalent to BD, AO is equivalent to BO, CO is equivalent to DO, angle D equals 30°, and angle A equals 95°, what is the size of angle AOC?\nChoices:\nA: 60°\nB: 55°\nC: 50°\nD: 45°"
},
{
"from": "assistant",
"value":... | [
"mulberry_images/geoqa_plus/11286.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194426 | [
{
"from": "user",
"value": "<image>If AB is equal to AC in triangle ABC, and the bisectors of angles ACB and BAC intersect at point O, what is the measure of angle BDC if angle ACD measures 10° and AD is drawn perpendicular to AO, intersecting the extension of CO at point D?\nChoices:\nA: 35°\nB: 40°\nC: 70... | [
"mulberry_images/geoqa_plus/10598.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194427 | [
{
"from": "user",
"value": "<image>In the diagram illustrating circle O, point E is the intersection of OA and BC, with OA being perpendicular to BC. Angle CAB measures 50°. Determine the measure of angle ADC.\nChoices:\nA: 25°\nB: 30°\nC: 40°\nD: 50°"
},
{
"from": "assistant",
"value": "<think>... | [
"mulberry_images/geoqa_plus/10904.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194428 | [
{
"from": "user",
"value": "<image>What is the unfolded side surface area of the cone when the diameter of the base circle is 6 and the height OA is 4?\nChoices:\nA: 30π\nB: 12×√{3}×π\nC: 15π\nD: 22.5×π"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the lateral surfac... | [
"mulberry_images/geoqa_plus/11703.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194429 | [
{
"from": "user",
"value": "<image>Within the diagram illustrating triangle ABC, angle C is set at 90 degrees. With AD identified as the bisector of angle BAC, and angle ADC being 65 degrees, what is the measure of angle BAC?\nChoices:\nA: 25°\nB: 35°\nC: 50°\nD: 70°"
},
{
"from": "assistant",
"... | [
"mulberry_images/geoqa_plus/11241.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194430 | [
{
"from": "user",
"value": "<image>Consider the figure where line segment AB and line segment CD are intersected by BC. If AB and CD are parallel, angle 1 is 50°, and angle 2 is 40°, what is the degree measure of angle 3?\nChoices:\nA: 80°\nB: 70°\nC: 90°\nD: 100°"
},
{
"from": "assistant",
"val... | [
"mulberry_images/geoqa_plus/10789.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194431 | [
{
"from": "user",
"value": "<image>If angle BOD is 150° in circle O, what is the degree measure of angle BCD?\nChoices:\nA: 120°\nB: 150°\nC: 105°\nD: 85°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is about a circle with center O and an inscribed quadrilateral ABCD... | [
"mulberry_images/geoqa_plus/10919.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194432 | [
{
"from": "user",
"value": "<image>If it is given that the points D, B, C, and E are collinear in the figure and angle ABD plus angle ACE equals 230.0, then what is the measure of angle A?\nChoices:\nA: 50°\nB: 60°\nC: 70°\nD: 80°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to f... | [
"mulberry_images/geoqa_plus/1095.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194433 | [
{
"from": "user",
"value": "<image>In the figure of rhombus ABCD, points M and N are located on sides AB and CD respectively. If AM is equal to CN and angle DAC measures 36 degrees, what is the degree measure of angle OBC at the intersection of line MN and line AC, and with the presence of line BO?\nChoices... | [
"mulberry_images/geoqa_plus/10696.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194434 | [
{
"from": "user",
"value": "<image>As depicted in the figure, if the diagonal BD of rhombus ABCD is 4 units, and AC is 3 times the length of BD, what would be the area of rhombus ABCD?\nChoices:\nA: 96\nB: 48\nC: 24\nD: 6"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem ... | [
"mulberry_images/geoqa_plus/11634.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194435 | [
{
"from": "user",
"value": "<image>Considering the diagram provided, with OA perpendicular to OD, angle AOC three times angle COD, and OC bisecting angle BOD, what is the angle measure of angle AOB?\nChoices:\nA: 45°\nB: 46°\nC: 50°\nD: 60°"
},
{
"from": "assistant",
"value": "<think> Okay, let ... | [
"mulberry_images/geoqa_plus/10943.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194436 | [
{
"from": "user",
"value": "<image>Given that line AB is parallel to line CD and angle 2 is measured at 34°, along with angle E being a right angle in the provided picture, what would be the size of angle 1?\nChoices:\nA: 124°\nB: 134°\nC: 136°\nD: 138°"
},
{
"from": "assistant",
"value": "<thin... | [
"mulberry_images/geoqa_plus/10829.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194437 | [
{
"from": "user",
"value": "<image>In the figure provided, line AB intersects line CD at point O. Ray OM is an angle bisector of angle AOC. Given that angle AOD measures 104°, what is the degree measure of angle MOC?\nChoices:\nA: 38°\nB: 37°\nC: 36°\nD: 52°"
},
{
"from": "assistant",
"value": "... | [
"mulberry_images/geoqa_plus/11116.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194438 | [
{
"from": "user",
"value": "<image>As presented in the figure, O is the point where the diagonals of parallelogram ABCD intersect. Moreover, E is established as the midpoint of segment AB, and the intersection of DE and AC is denoted as F. Given the area of parallelogram ABCD as 8, what is the area of trian... | [
"mulberry_images/geoqa_plus/11473.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194439 | [
{
"from": "user",
"value": "<image>The figure shows triangle ABC with angle A measuring 64 degrees. At the intersection of the angle bisectors of ABC and ACD lies point A1, creating angle A1. Subsequently, at the intersection of the angle bisectors of A1BC and A1CD lies point A2, generating angle A2. This p... | [
"mulberry_images/geoqa_plus/11205.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194440 | [
{
"from": "user",
"value": "<image>Triangle ABC is congruent to triangle DEC in the given diagram. The corresponding vertices are A and D, and B and E. A perpendicular AF is created by drawing a line through point A and intersecting CD at point F. If angle BCE is 60°, what is the measure of angle CAF?\nChoi... | [
"mulberry_images/geoqa_plus/11285.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194441 | [
{
"from": "user",
"value": "<image>When angle AOB is bisected by line segment OP, and the sum of the degrees of all angles smaller than the bisected angle is 192°, what is the degree measure of angle AOB?\nChoices:\nA: 92°\nB: 94°\nC: 96°\nD: 100°"
},
{
"from": "assistant",
"value": "<think> Oka... | [
"mulberry_images/geoqa_plus/10954.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194442 | [
{
"from": "user",
"value": "<image>In the provided diagram, with the lines AB and CD being parallel, angle A measuring 30 degrees, and DA serving as the angle bisector of angle CDE, what is the size of angle DEB?\nChoices:\nA: 45°\nB: 60°\nC: 75°\nD: 80°"
},
{
"from": "assistant",
"value": "<thi... | [
"mulberry_images/geoqa_plus/10775.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194443 | [
{
"from": "user",
"value": "<image>If circle O is the circumcircle of regular pentagon ABCDE, what is the value of angle ADE?\nChoices:\nA: 40°\nB: 36°\nC: 32°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let's tackle this problem. So, we have a regular pentagon ABCDE inscribed in ... | [
"mulberry_images/geoqa_plus/10910.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194444 | [
{
"from": "user",
"value": "<image>What is the surface area of the unfolded side of the cone when the diameter of the base circle is 6 and the height OA is 4?\nChoices:\nA: 30π\nB: 12×√{3}×π\nC: 15π\nD: 22.5×π"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to find the lateral surfa... | [
"mulberry_images/geoqa_plus/11703.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194445 | [
{
"from": "user",
"value": "<image>Examining the diagram provided, we can see triangle ABC with angle A measuring 60°. In this triangle, point D represents the foot of the perpendicular drawn from point B to line AC, while point E represents the foot of the perpendicular drawn from point C to line AB. The m... | [
"mulberry_images/geoqa_plus/10921.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194446 | [
{
"from": "user",
"value": "<image>In the figure provided, triangle ABC has AD as its median, E as the midpoint of AD, and BE as a connecting line. The area of triangle ABC is 12. What is the area of triangle ABE?\nChoices:\nA: 2\nB: 3\nC: 4\nD: 6"
},
{
"from": "assistant",
"value": "<think> Oka... | [
"mulberry_images/geoqa_plus/11831.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194447 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle ACA' in triangle ACB, which is congruent to triangle A'CB', if angle BCB' is 30 degrees according to the given diagram? \nChoices:\nA: 30°\nB: 20°\nC: 35°\nD: 40°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try t... | [
"mulberry_images/geoqa_plus/11351.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194448 | [
{
"from": "user",
"value": "<image>In the given figure, where 6 squares with equal side lengths are combined, what is the sum of the degree measures of angles 1, 2, and 3?\nChoices:\nA: 45°\nB: 90°\nC: 135°\nD: 225°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to figure out the s... | [
"mulberry_images/geoqa_plus/10934.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194449 | [
{
"from": "user",
"value": "<image>Referring to the diagram depicting triangle ABC, where angle A is given as 50° and angle C as 60°, if BD bisects angle ABC, what is the measure of angle BDC?\nChoices:\nA: 85°\nB: 80°\nC: 75°\nD: 70°"
},
{
"from": "assistant",
"value": "<think> Okay, so I have ... | [
"mulberry_images/geoqa_plus/11215.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194450 | [
{
"from": "user",
"value": "<image>The \"Zhao Shuang chord diagram\" is a notable artifact in ancient Chinese mathematics and was presented by the Chinese mathematician Zhao Shuang in the annotation of the \"Zhou Bi Suan Jing\". Given that in the chord diagram, there are four congruent right-angled triangle... | [
"mulberry_images/geoqa_plus/11444.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194451 | [
{
"from": "user",
"value": "<image>In the illustrated equilateral triangle ABC with DE as the median, what is the ratio of the areas of triangles CDE and CAB?\nChoices:\nA: 0.5\nB: 0.25\nC: \\frac{1}{3}\nD: \\{1}{5}"
},
{
"from": "assistant",
"value": "<think> Okay, so the problem is about an eq... | [
"mulberry_images/geoqa_plus/11531.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194452 | [
{
"from": "user",
"value": "<image>If regular pentagon ABCDE has circle O as its circumcircle, what is the degree measure of angle ADE?\nChoices:\nA: 40°\nB: 36°\nC: 32°\nD: 30°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the measure of angle ADE in the regular pen... | [
"mulberry_images/geoqa_plus/10910.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194453 | [
{
"from": "user",
"value": "<image>If the perimeter of triangle ABD is 28cm and AB is 6cm longer than AC, with AD being the median of triangle ABC, what is the perimeter of triangle ACD?\nChoices:\nA: 31cm\nB: 25cm\nC: 22cm\nD: 19cm"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to... | [
"mulberry_images/geoqa_plus/11410.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194454 | [
{
"from": "user",
"value": "<image>Given that AB is parallel to CD and AE bisects angle CAB, intersecting CD at point E in the provided diagram, what is the measure of angle AED when angle C measures 48°?\nChoices:\nA: 52°\nB: 62°\nC: 108°\nD: 114°"
},
{
"from": "assistant",
"value": "<think> Ok... | [
"mulberry_images/geoqa_plus/10993.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194455 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle D in the figure if AB is equal to CD, BC is equal to AD, and angle B is measured at 23 degrees?\nChoices:\nA: 23°\nB: 46°\nC: 67°\nD: 0°"
},
{
"from": "assistant",
"value": "<think> Okay, so I need to figure out the measure o... | [
"mulberry_images/geoqa_plus/10927.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194456 | [
{
"from": "user",
"value": "<image>Given the figure where triangle DEF is placed on triangle ABC, with DE and DF, the perpendicular sides of triangle DEF, intersecting points B and C respectively, if the sum of angle DBA and angle DCA is 45 degrees, what is the measurement of angle A in triangle ABC?\nChoic... | [
"mulberry_images/geoqa_plus/11254.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194457 | [
{
"from": "user",
"value": "<image>If triangle ABC, shown in the figure, has angle B measuring 90 degrees and sides AB and BC measuring 2 units and 4 units respectively, what is the area of square ADEC?\nChoices:\nA: 8\nB: 12\nC: 18\nD: 20"
},
{
"from": "assistant",
"value": "<think> Okay, so I ... | [
"mulberry_images/geoqa_plus/11370.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194458 | [
{
"from": "user",
"value": "<image>Given the triangle ABC where angle ACB is 90°, three squares are constructed outside the triangle using each side. If S1 equals 3 and S2 equals 11, what is the area of S3?\nChoices:\nA: 5\nB: 8\nC: 14\nD: 16"
},
{
"from": "assistant",
"value": "<think> Okay, le... | [
"mulberry_images/geoqa_plus/11443.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194459 | [
{
"from": "user",
"value": "<image>Given that the line DE intersects with BC at point O, angle BOE measures 150°, and angle 1 and angle 2 are complementary, what is the value of angle AOE?\nChoices:\nA: 120°\nB: 130°\nC: 140°\nD: 150°"
},
{
"from": "assistant",
"value": "<think> Okay, let me try... | [
"mulberry_images/geoqa_plus/11151.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194460 | [
{
"from": "user",
"value": "<image>According to the given diagram, a right triangle ABC is shown with angle BCA measuring 90°. There are three additional triangles: PAB, QBC, and HAC. Triangle PAB has a height on side AB that is equal to the length of AB, while triangle QBC has a height on side BC that is e... | [
"mulberry_images/geoqa_plus/11378.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194461 | [
{
"from": "user",
"value": "<image>As shown in the figure, it is known that triangle ABC is an isosceles right triangle, angle A = 90.0, BD is the bisector of angle ABC, DE perpendicular BC is in E, if BC = 10.0, then the perimeter of triangle DEC is ()\nChoices:\nA: 8cm\nB: 10cm\nC: 12cm\nD: 14cm"
},
... | [
"mulberry_images/geoqa_plus/1093.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194462 | [
{
"from": "user",
"value": "<image>If we consider the diagram in which point E marks the intersection of OA and BC in circle O, with OA being perpendicular to BC, and the angle CAB is given as 50°, what is the measure of angle ADC?\nChoices:\nA: 25°\nB: 30°\nC: 40°\nD: 50°"
},
{
"from": "assistant",... | [
"mulberry_images/geoqa_plus/10904.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194463 | [
{
"from": "user",
"value": "<image>Considering the right triangle ABC and the externally constructed squares on its sides, denoted as S1, S2, and S3, if S1 is 4 and S3 is 16, what is the value of S2?\nChoices:\nA: 20\nB: 12\nC: 2√{5}\nD: 2√{3}"
},
{
"from": "assistant",
"value": "<think> Okay, l... | [
"mulberry_images/geoqa_plus/11446.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194464 | [
{
"from": "user",
"value": "<image>In the diagram, triangle ABC is congruent to triangle DEC, with corresponding vertices A and D, and B and E. Point A is connected to point F, forming a perpendicular AF to CD. If angle BCE is 60°, what is the degree measure of angle CAF?\nChoices:\nA: 35°\nB: 30°\nC: 60°\n... | [
"mulberry_images/geoqa_plus/11285.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194465 | [
{
"from": "user",
"value": "<image>What is the angle measure of the complement of angle BOD in the given diagram, where OE is perpendicular to AB, the line CD passes through point O, and angle COA is 35 degrees?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: 60°"
},
{
"from": "assistant",
"value": "<thin... | [
"mulberry_images/geoqa_plus/10822.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194466 | [
{
"from": "user",
"value": "<image>If triangle ABC is shown in the provided figure with AB equal to AC, and point D and point E are positioned on sides BC and AC respectively, such that DE forms a perpendicular with AD, what is the degree measure of angle DEC given that angle BAD measures 55° and angle B me... | [
"mulberry_images/geoqa_plus/11311.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194467 | [
{
"from": "user",
"value": "<image>What is the degree measure of angle 2 in the diagram provided, where line a is parallel to line b and the right angle triangle ABC has its right angle vertex C on line b, if angle 1 equals 54 degrees?\nChoices:\nA: 36°\nB: 44°\nC: 46°\nD: 54°"
},
{
"from": "assista... | [
"mulberry_images/geoqa_plus/11127.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194468 | [
{
"from": "user",
"value": "<image>In the given diagram, when DE is parallel to BC and BE bisects angle ABC, what is the value in degrees for angle CBE if angle 1 is measured as 66 degrees?\nChoices:\nA: 33°\nB: 32°\nC: 22°\nD: 56°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. Th... | [
"mulberry_images/geoqa_plus/10963.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194469 | [
{
"from": "user",
"value": "<image>In the figure shown, a tangent line passing through point P intersects the extension of diameter AB at point C on circle O. Point D is a point on the circle, and angle BDP is measured at 27 degrees. Determine the degree measure of angle C.\nChoices:\nA: 27°\nB: 33°\nC: 36°... | [
"mulberry_images/geoqa_plus/10545.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194470 | [
{
"from": "user",
"value": "<image>If angle 1 is 55 degrees and the vertex of a right-angled triangle ruler is placed on one side of a ruler, then what is the measure of angle 2 in the figure?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: 25°"
},
{
"from": "assistant",
"value": "<think> Okay, so let me ... | [
"mulberry_images/geoqa_plus/11183.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194471 | [
{
"from": "user",
"value": "<image>Upon folding a rectangular paper strip along the line AF, if angle ADB is 32° and AE is parallel to BD, what would be the degree measure of angle DAF?\nChoices:\nA: 30°\nB: 28°\nC: 29°\nD: 26°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to solv... | [
"mulberry_images/geoqa_plus/10511.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194472 | [
{
"from": "user",
"value": "<image>If we consider square ABCD in the provided diagram, with point E located on the diagonal BD, and the extension of AE intersecting CD at point F with CE as a connecting line, what would be the degree measure of angle CEF if angle AFD measures 56 degrees?\nChoices:\nA: 22°\n... | [
"mulberry_images/geoqa_plus/10686.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194473 | [
{
"from": "user",
"value": "<image>According to the diagram shown, with AB being perpendicular to BD and angle A measuring 52 degrees, what is the size of angle ACD?\nChoices:\nA: 128°\nB: 132°\nC: 138°\nD: 142°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure this out. So,... | [
"mulberry_images/geoqa_plus/11321.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194474 | [
{
"from": "user",
"value": "<image>If the vertex of the right angle of the triangle board falls on one side of the rectangular piece of paper, with angle 2 measuring 50 degrees, what is the degree measure of angle 1?\nChoices:\nA: 35°\nB: 40°\nC: 45°\nD: 50°"
},
{
"from": "assistant",
"value": "... | [
"mulberry_images/geoqa_plus/11084.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194475 | [
{
"from": "user",
"value": "<image>Consider the figure illustrating triangle ABC. With angle A measuring 64 degrees, the angle bisectors of ABC and ACD intersect at point A1, forming angle A1. Continuing this pattern, the angle bisectors of A1BC and A1CD intersect at point A2, forming angle A2. If we procee... | [
"mulberry_images/geoqa_plus/11205.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194476 | [
{
"from": "user",
"value": "<image>If the measure of angle C is 40 degrees and vertices A, B, and C are all located on circle O, what is the degree of angle AOB?\nChoices:\nA: 40°\nB: 50°\nC: 80°\nD: 140°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem displays there's ... | [
"mulberry_images/geoqa_plus/1126.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194477 | [
{
"from": "user",
"value": "<image>If a rectangular paper ABDC is folded along BE, resulting in points C and D overlapping with points C1 and D1, respectively, and the measure of angle C1BA is 56°, what is the measure of angle ABE?\nChoices:\nA: 15°\nB: 16°\nC: 17°\nD: 20°"
},
{
"from": "assistant",... | [
"mulberry_images/geoqa_plus/11091.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194478 | [
{
"from": "user",
"value": "<image>By what mathematical expression can the lateral surface area of a cone be computed?\nChoices:\nA: 12π\nB: 15π\nC: 24π\nD: 30π"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. The problem is asking for the lateral surface area of a cone with radius ... | [
"mulberry_images/geoqa_plus/11707.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194479 | [
{
"from": "user",
"value": "<image>If angle AOC and angle BOD form right angles in the given diagram, and angle DOC measures 38°, what is the measure of angle AOB?\nChoices:\nA: 128°\nB: 142°\nC: 38°\nD: 152°"
},
{
"from": "assistant",
"value": "<think> Okay, let's try to figure out the measure ... | [
"mulberry_images/geoqa_plus/10940.png"
] | vision_r1_mulberry_sft_full |
vision_r1_mulberry_sft_full-194480 | [
{
"from": "user",
"value": "<image>In the figure, circle O is depicted with points A and B on its circumference and tangents PA and PB. If angle ACB is 126°, what is the measure of angle P?\nChoices:\nA: 54°\nB: 60°\nC: 63°\nD: 72°"
},
{
"from": "assistant",
"value": "<think> Okay, let's see. I ... | [
"mulberry_images/geoqa_plus/11298.png"
] | vision_r1_mulberry_sft_full |
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