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11,619 | 11,300 | <image>As shown in the diagram, in circle O, if ∠O=50°, then what is the degree of ∠A? (). A, B, C, D choices are ['50°', '20°', '30°', '25°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11300.jpg |
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11,620 | 11,301 | <image>As shown in the diagram, in circle O, if ∠O=50°, then what is the degree of ∠A? (). A, B, C, D choices are ['50°', '20°', '30°', '25°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11301.jpg |
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11,621 | 11,302 | <image>As shown in the diagram, in circle O, if ∠O=50°, then what is the degree of ∠A? (). A, B, C, D choices are ['50°', '20°', '30°', '25°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11302.jpg |
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11,622 | 11,303 | <image>As shown in the diagram, in circle O, if ∠O=50°, then what is the degree of ∠A? (). A, B, C, D choices are ['50°', '20°', '30°', '25°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11303.jpg |
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11,623 | 11,304 | <image>In the figure, points A, B, and C are on circle O, and ∠OAB = 65°. What is the degree measure of ∠ACB? (). A, B, C, D choices are ['50°', '32.5°', '25°', '20°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11304.jpg |
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11,624 | 11,305 | <image>In the figure, points A, B, and C are on circle O, and ∠OAB = 65°. What is the degree measure of ∠ACB? (). A, B, C, D choices are ['50°', '32.5°', '25°', '20°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11305.jpg |
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11,625 | 11,306 | <image>In the figure, points A, B, and C are on circle O, and ∠OAB = 65°. What is the degree measure of ∠ACB? (). A, B, C, D choices are ['50°', '32.5°', '25°', '20°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11306.jpg |
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11,626 | 11,307 | <image>In the figure, points A, B, and C are on circle O, and ∠OAB = 65°. What is the degree measure of ∠ACB? (). A, B, C, D choices are ['50°', '32.5°', '25°', '20°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11307.jpg |
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11,627 | 11,308 | <image>In the figure, points A, B, and C are on circle O, and ∠OAB = 65°. What is the degree measure of ∠ACB? (). A, B, C, D choices are ['50°', '32.5°', '25°', '20°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11308.jpg |
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11,628 | 11,309 | <image>In the figure, points A, B, and C are on circle O, and ∠OAB = 65°. What is the degree measure of ∠ACB? (). A, B, C, D choices are ['50°', '32.5°', '25°', '20°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11309.jpg |
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11,629 | 11,310 | <image>In the figure, points A, B, and C are on circle O, and ∠OAB = 65°. What is the degree measure of ∠ACB? (). A, B, C, D choices are ['50°', '32.5°', '25°', '20°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11310.jpg |
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11,630 | 11,311 | <image>In the figure, points A, B, and C are on circle O, and ∠OAB = 65°. What is the degree measure of ∠ACB? (). A, B, C, D choices are ['50°', '32.5°', '25°', '20°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11311.jpg |
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11,631 | 11,312 | <image>As shown in the diagram, in circle O, chords AB and CD correspond to central angles ∠AOB and ∠COD respectively. If ∠AOB and ∠COD are complementary and AB = 2, CD = 4, what is the radius of circle O? (). A, B, C, D choices are ['√{3}', '2', '√{5}', '4'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11312.jpg |
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11,632 | 11,313 | <image>As shown in the diagram, in circle O, chords AB and CD correspond to central angles ∠AOB and ∠COD respectively. If ∠AOB and ∠COD are complementary and AB = 2, CD = 4, what is the radius of circle O? (). A, B, C, D choices are ['√{3}', '2', '√{5}', '4'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11313.jpg |
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11,633 | 11,314 | <image>As shown in the diagram, in circle O, chords AB and CD correspond to central angles ∠AOB and ∠COD respectively. If ∠AOB and ∠COD are complementary and AB = 2, CD = 4, what is the radius of circle O? (). A, B, C, D choices are ['√{3}', '2', '√{5}', '4'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11314.jpg |
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11,634 | 11,315 | <image>As shown in the diagram, in circle O, chords AB and CD correspond to central angles ∠AOB and ∠COD respectively. If ∠AOB and ∠COD are complementary and AB = 2, CD = 4, what is the radius of circle O? (). A, B, C, D choices are ['√{3}', '2', '√{5}', '4'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11315.jpg |
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11,635 | 11,316 | <image>In the diagram, in circle O, chord AB and CD are perpendicular and intersect at point P, ∠A=35°, what is the measure of ∠B? (). A, B, C, D choices are ['35°', '55°', '65°', '70°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11316.jpg |
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11,636 | 11,317 | <image>In the diagram, in circle O, chord AB and CD are perpendicular and intersect at point P, ∠A=35°, what is the measure of ∠B? (). A, B, C, D choices are ['35°', '55°', '65°', '70°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11317.jpg |
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11,637 | 11,318 | <image>In the diagram, in circle O, chord AB and CD are perpendicular and intersect at point P, ∠A=35°, what is the measure of ∠B? (). A, B, C, D choices are ['35°', '55°', '65°', '70°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11318.jpg |
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11,638 | 11,319 | <image>As shown in the figure, points B, C, and D are on circle O. If ∠BCD = 140°, what is the degree measure of ∠BOD? (). A, B, C, D choices are ['40°', '50°', '80°', '90°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11319.jpg |
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11,639 | 11,320 | <image>In the figure, in circle O, OC is perpendicular to AB, ∠ADC = 35°. What is the degree measurement of ∠OBA? (). A, B, C, D choices are ['35', '30°', '25°', '20°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11320.jpg |
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11,640 | 11,321 | <image>In the figure, in circle O, OC is perpendicular to AB, ∠ADC = 35°. What is the degree measurement of ∠OBA? (). A, B, C, D choices are ['35', '30°', '25°', '20°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11321.jpg |
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11,641 | 11,322 | <image>As shown in the figure, A and D are two points on the circle O, BC is the diameter. If ∠D = 32°, then ∠AOC = (). A, B, C, D choices are ['64°', '58°', '72°', '55°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11322.jpg |
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11,642 | 11,323 | <image>As shown in the figure, A and D are two points on the circle O, BC is the diameter. If ∠D = 32°, then ∠AOC = (). A, B, C, D choices are ['64°', '58°', '72°', '55°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11323.jpg |
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11,643 | 11,324 | <image>As shown in the figure, A and D are two points on the circle O, BC is the diameter. If ∠D = 32°, then ∠AOC = (). A, B, C, D choices are ['64°', '58°', '72°', '55°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11324.jpg |
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11,644 | 11,325 | <image>As shown in the figure, A and D are two points on the circle O, BC is the diameter. If ∠D = 32°, then ∠AOC = (). A, B, C, D choices are ['64°', '58°', '72°', '55°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11325.jpg |
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11,645 | 11,326 | <image>Given the diagram, points B, C, and D are on circle O. If ∠BCD = 120°, what is the degree of ∠BOD? (). A, B, C, D choices are ['60°', '80°', '120°', '240°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11326.jpg |
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11,646 | 11,327 | <image>Given the diagram, points B, C, and D are on circle O. If ∠BCD = 120°, what is the degree of ∠BOD? (). A, B, C, D choices are ['60°', '80°', '120°', '240°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11327.jpg |
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11,647 | 11,328 | <image>Given the diagram, points B, C, and D are on circle O. If ∠BCD = 120°, what is the degree of ∠BOD? (). A, B, C, D choices are ['60°', '80°', '120°', '240°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11328.jpg |
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11,648 | 11,329 | <image>In the diagram, AC is the diameter of circle O, and B and D are points on circle O. If ∠CAB = 34°, what is the degree measure of ∠D? (). A, B, C, D choices are ['44°', '54°', '56°', '66°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11329.jpg |
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11,649 | 11,330 | <image>As shown in the diagram, in circle O, OC is perpendicular to AB, ∠ADC=26°, what is the degree of ∠COB? (). A, B, C, D choices are ['52°', '64°', '48°', '42°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11330.jpg |
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11,650 | 11,331 | <image>As shown in the figure, the diameter AB of circle O is 10, the chord BC is 6, OD is perpendicular to AC and the foot of the perpendicular is point D. What is the length of OD? (). A, B, C, D choices are ['6', '5', '4', '3'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11331.jpg |
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11,651 | 11,332 | <image>As shown in the figure, the diameter AB of circle O is 10, the chord BC is 6, OD is perpendicular to AC and the foot of the perpendicular is point D. What is the length of OD? (). A, B, C, D choices are ['6', '5', '4', '3'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11332.jpg |
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11,652 | 11,333 | <image>As shown in the figure, the diameter AB of circle O is 10, the chord BC is 6, OD is perpendicular to AC and the foot of the perpendicular is point D. What is the length of OD? (). A, B, C, D choices are ['6', '5', '4', '3'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11333.jpg |
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11,653 | 11,334 | <image>As shown in the figure, the diameter AB of circle O is 10, the chord BC is 6, OD is perpendicular to AC and the foot of the perpendicular is point D. What is the length of OD? (). A, B, C, D choices are ['6', '5', '4', '3'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11334.jpg |
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11,654 | 11,335 | <image>As shown in the figure, the diameter AB of circle O is 10, the chord BC is 6, OD is perpendicular to AC and the foot of the perpendicular is point D. What is the length of OD? (). A, B, C, D choices are ['6', '5', '4', '3'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11335.jpg |
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11,655 | 11,336 | <image>As shown in the figure, the diameter AB of circle O is 10, the chord BC is 6, OD is perpendicular to AC and the foot of the perpendicular is point D. What is the length of OD? (). A, B, C, D choices are ['6', '5', '4', '3'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11336.jpg |
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11,656 | 11,337 | <image>As shown in the diagram, AB is the diameter of circle O, BC is a chord of circle O, and ∠AOC = 80°. What is the degree measure of ∠C? (). A, B, C, D choices are ['20°', '30°', '40°', '50°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11337.jpg |
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11,657 | 11,338 | <image>As shown in the diagram, AB is the diameter of circle O, BC is a chord of circle O, and ∠AOC = 80°. What is the degree measure of ∠C? (). A, B, C, D choices are ['20°', '30°', '40°', '50°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11338.jpg |
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11,658 | 11,339 | <image>As shown in the diagram, AB is the diameter of circle O, BC is a chord of circle O, and ∠AOC = 80°. What is the degree measure of ∠C? (). A, B, C, D choices are ['20°', '30°', '40°', '50°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11339.jpg |
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11,659 | 11,340 | <image>As shown in the figure, points A, B, and C are all on the circle O. In quadrilateral ABCO, if ∠AOC = 140°, then the degree of ∠B is ().. A, B, C, D choices are ['110°', '70°', '140°', '100°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11340.jpg |
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11,660 | 11,341 | <image>As shown in the figure, AB is the diameter of circle O, points C and D are on circle O, and A is the midpoint of arc DC. If ∠ABD = 15°, what is the degree measure of ∠BOC? (). A, B, C, D choices are ['120°', '150°', '210°', '75°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11341.jpg |
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11,661 | 11,342 | <image>As shown in the figure, triangle ABC is inscribed in circle O. OA and OB are connected, and angle ABO is 40°. What is the degree measure of angle C? (). A, B, C, D choices are ['100°', '80°', '50°', '40°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11342.jpg |
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11,662 | 11,343 | <image>As shown in the figure, triangle ABC is inscribed in circle O. OA and OB are connected, and angle ABO is 40°. What is the degree measure of angle C? (). A, B, C, D choices are ['100°', '80°', '50°', '40°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11343.jpg |
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11,663 | 11,344 | <image>As shown in the figure, triangle ABC is inscribed in circle O. OA and OB are connected, and angle ABO is 40°. What is the degree measure of angle C? (). A, B, C, D choices are ['100°', '80°', '50°', '40°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11344.jpg |
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11,664 | 11,345 | <image>As shown in the figure, triangle ABC is inscribed in circle O. OA and OB are connected, and angle ABO is 40°. What is the degree measure of angle C? (). A, B, C, D choices are ['100°', '80°', '50°', '40°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11345.jpg |
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11,665 | 11,346 | <image>As shown in the figure, triangle ABC is inscribed in circle O. OA and OB are connected, and angle ABO is 40°. What is the degree measure of angle C? (). A, B, C, D choices are ['100°', '80°', '50°', '40°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11346.jpg |
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11,666 | 11,347 | <image>As shown in the figure, triangle ABC is inscribed in circle O. OA and OB are connected, and angle ABO is 40°. What is the degree measure of angle C? (). A, B, C, D choices are ['100°', '80°', '50°', '40°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11347.jpg |
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11,668 | 11,348 | <image>As shown in the figure, AB is the diameter of circle O, point D is a point on circle O, and ∠ABD=30°. If BO=4, what is the length of AD? (). A, B, C, D choices are ['3', '4', '4√{3}', '8'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{C} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11348.jpg |
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11,669 | 11,349 | <image>In the figure, AB is a chord of circle O with AB = 5. Point C is a moving point on circle O and ∠ACB = 45°. Points M and N are the midpoints of AB and AC, respectively. The maximum length of segment MN is () .. A, B, C, D choices are ['5', '\\frac{5}{2}', '5√{2}', '\\frac{5√{2}}{2}'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11349.jpg |
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11,670 | 11,350 | <image>In the figure, AB is a chord of circle O with AB = 5. Point C is a moving point on circle O and ∠ACB = 45°. Points M and N are the midpoints of AB and AC, respectively. The maximum length of segment MN is () .. A, B, C, D choices are ['5', '\\frac{5}{2}', '5√{2}', '\\frac{5√{2}}{2}'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{D} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11350.jpg |
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11,671 | 11,351 | <image>In the circle O as shown, points A, B, and C are on the circle, and ∠OAB=50°. What is the degree measure of ∠C? (). A, B, C, D choices are ['30°', '40°', '50°', '60°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11351.jpg |
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11,672 | 11,352 | <image>In the circle O as shown, points A, B, and C are on the circle, and ∠OAB=50°. What is the degree measure of ∠C? (). A, B, C, D choices are ['30°', '40°', '50°', '60°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11352.jpg |
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11,673 | 11,353 | <image>In the circle O as shown, points A, B, and C are on the circle, and ∠OAB=50°. What is the degree measure of ∠C? (). A, B, C, D choices are ['30°', '40°', '50°', '60°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11353.jpg |
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11,674 | 11,354 | <image>In the circle O as shown, points A, B, and C are on the circle, and ∠OAB=50°. What is the degree measure of ∠C? (). A, B, C, D choices are ['30°', '40°', '50°', '60°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11354.jpg |
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11,675 | 11,355 | <image>In the circle O as shown, points A, B, and C are on the circle, and ∠OAB=50°. What is the degree measure of ∠C? (). A, B, C, D choices are ['30°', '40°', '50°', '60°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11355.jpg |
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11,676 | 11,356 | <image>In the circle O as shown, points A, B, and C are on the circle, and ∠OAB=50°. What is the degree measure of ∠C? (). A, B, C, D choices are ['30°', '40°', '50°', '60°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11356.jpg |
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11,677 | 11,357 | <image>As shown in the figure, a protractor is placed on top of ∠BAC, and point B is exactly at the 40° mark on the protractor. What is the degree measure of ∠BAC? (). A, B, C, D choices are ['40°', '80°', '20°', '10°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11357.jpg |
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11,678 | 11,358 | <image>As shown in the figure, a protractor is placed on top of ∠BAC, and point B is exactly at the 40° mark on the protractor. What is the degree measure of ∠BAC? (). A, B, C, D choices are ['40°', '80°', '20°', '10°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11358.jpg |
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11,679 | 11,359 | <image>As shown in the figure, a protractor is placed on top of ∠BAC, and point B is exactly at the 40° mark on the protractor. What is the degree measure of ∠BAC? (). A, B, C, D choices are ['40°', '80°', '20°', '10°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11359.jpg |
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11,680 | 11,360 | <image>As shown in the figure, a protractor is placed on top of ∠BAC, and point B is exactly at the 40° mark on the protractor. What is the degree measure of ∠BAC? (). A, B, C, D choices are ['40°', '80°', '20°', '10°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11360.jpg |
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11,681 | 11,361 | <image>As shown in the figure, a protractor is placed on top of ∠BAC, and point B is exactly at the 40° mark on the protractor. What is the degree measure of ∠BAC? (). A, B, C, D choices are ['40°', '80°', '20°', '10°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11361.jpg |
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11,682 | 11,362 | <image>Given the diagram, if ∠AOB is the central angle of circle ⊙O and ∠AOB = 50°, what is the degree measure of the arc ∠ACB? (). A, B, C, D choices are ['50°', '25°', '100°', '30°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11362.jpg |
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11,683 | 11,363 | <image>Given the diagram, if ∠AOB is the central angle of circle ⊙O and ∠AOB = 50°, what is the degree measure of the arc ∠ACB? (). A, B, C, D choices are ['50°', '25°', '100°', '30°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11363.jpg |
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11,684 | 11,364 | <image>Given the diagram, if ∠AOB is the central angle of circle ⊙O and ∠AOB = 50°, what is the degree measure of the arc ∠ACB? (). A, B, C, D choices are ['50°', '25°', '100°', '30°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11364.jpg |
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11,685 | 11,365 | <image>Given the diagram, if ∠AOB is the central angle of circle ⊙O and ∠AOB = 50°, what is the degree measure of the arc ∠ACB? (). A, B, C, D choices are ['50°', '25°', '100°', '30°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11365.jpg |
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11,686 | 11,366 | <image>Given the diagram, if ∠AOB is the central angle of circle ⊙O and ∠AOB = 50°, what is the degree measure of the arc ∠ACB? (). A, B, C, D choices are ['50°', '25°', '100°', '30°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{A} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11366.jpg |
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11,687 | 11,367 | <image>Given the diagram, if ∠AOB is the central angle of circle ⊙O and ∠AOB = 50°, what is the degree measure of the arc ∠ACB? (). A, B, C, D choices are ['50°', '25°', '100°', '30°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11367.jpg |
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11,688 | 11,368 | <image>Given the diagram, if ∠AOB is the central angle of circle ⊙O and ∠AOB = 50°, what is the degree measure of the arc ∠ACB? (). A, B, C, D choices are ['50°', '25°', '100°', '30°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11368.jpg |
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11,689 | 11,369 | <image>As shown in the figure, CD is perpendicular to AB at point E. If ∠B is 60°, then ∠A is equal to (). A, B, C, D choices are ['20°', '30°', '40°', '60°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11369.jpg |
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11,690 | 11,370 | <image>As shown in the figure, CD is perpendicular to AB at point E. If ∠B is 60°, then ∠A is equal to (). A, B, C, D choices are ['20°', '30°', '40°', '60°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11370.jpg |
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11,691 | 11,371 | <image>As shown in the figure, CD is perpendicular to AB at point E. If ∠B is 60°, then ∠A is equal to (). A, B, C, D choices are ['20°', '30°', '40°', '60°'] Please give reason process and provide the correct option, such as: answer is A/B/C/D. | image | free-form | [] | <answer>\[ \boxed{B} \]</answer> | redstar-geo-r1 | redstar-geo-r1/11371.jpg |
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