images
images listlengths 1
1
| problem
listlengths 1
1
| answer
stringclasses 4
values | ability
stringclasses 2
values |
|---|---|---|---|
[
{
"content": "<image>\nQuestion: If angle BOD measures 140.0 degrees and angle CDA measures 30.0 degrees in circle O, what is the degree measure of angle AEC?\nChoices:\nA: 80°\nB: 100°\nC: 110°\nD: 125°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given diagram of inscribed quadrilateral ABCD within circle O, where BC and DC have equal lengths and angle BOC is measured at 130.0 degrees, what is the degree measure of angle BAD?\nChoices:\nA: 120°\nB: 130°\nC: 140°\nD: 150°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: As shown in the figure, in triangle ABC, angle C = 90.0, AB = 5.0, AC = 4.0, then the value of cosA is ()\nChoices:\nA: \\frac{3}{5}\nB: \\frac{3}{4}\nC: \\frac{4}{3}\nD: \\frac{4}{5}",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measurement of angle ACB in triangle ABC if point O is located within the triangle and OA, OB, and OC are all equal in length, and angle ABO measures 40 degrees?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: As shown in the figure, OA = 4.0, the midpoint of the line segment OA is B, the point P moves on a circle with O as the center and OB as the radius, and the midpoint of PA is Q. When the point Q also falls on circle O, the value of cosangle OQB is equal to ()\nChoices:\nA: \\frac{1}{2}\nB: \\frac{1}{3}\nC: \\frac{1}{4}\nD: \\frac{2}{3}",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given right triangle ABC, where angle ACB measures 90.0 degrees and CD is the midline on the side of AB, if BC equals 6.0 and AC equals 8.0, what is the value of tan(angle ACD)?\nChoices:\nA: \\frac{3}{5}\nB: \\frac{4}{5}\nC: \\frac{4}{3}\nD: \\frac{3}{4}",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: As shown in the figure, in Rttriangle ABC, angle C is a right angle, CD perpendicular AB is in D, it is known that AC = 4.0, AB = 5.0, then tanangle BCD is equal to ()\nChoices:\nA: \\frac{3}{4}\nB: \\frac{4}{3}\nC: \\frac{3}{5}\nD: \\frac{4}{5}",
"role": "user"
}
] |
A
|
Math
|
|
[
{
"content": "<image>\nQuestion: As shown in the figure, the edge length of the square ABCD is 2.0, the point E is on the extended line of CB, BD = BE, then the value of tanangle BAE is ()\nChoices:\nA: \\frac{√{2}}{2}\nB: 1\nC: √{2}\nD: 2√{2}",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: As shown in the figure, in Rttriangle ABC, CD is the midline on the hypotenuse AB, and it is known that CD = 2.0, AC = 3.0, then the value of sinB is ()\nChoices:\nA: \\frac{2}{3}\nB: \\frac{3}{2}\nC: \\frac{3}{4}\nD: \\frac{4}{3}",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, CD represents the altitude on the hypotenuse of right triangle ABC. With AB measuring 5.0 and AC measuring 3.0, what is the value of tan angle BCD?\nChoices:\nA: \\frac{4}{3}\nB: \\frac{3}{4}\nC: \\frac{4}{5}\nD: \\frac{3}{5}",
"role": "user"
}
] |
A
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, a paper tape with two parallel edges has been folded. If angle 1 measures 62.0 degrees, what is the measure of angle 2?\nChoices:\nA: 62°\nB: 56°\nC: 45°\nD: 30°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle C in circle O, where points A, B, C, and D are located, and angle A measures 60.0 degrees while angle B measures 24.0 degrees?\nChoices:\nA: 84°\nB: 60°\nC: 36°\nD: 24°",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided diagram, if the central angle AOB measures 110.0 degrees, what is the measure of the circumference angle ACB?\nChoices:\nA: 55°\nB: 110°\nC: 120°\nD: 125°",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle D if angle BOC equals 40.0 degrees and AB is the diameter of the semicircle with O as the center of the circle?\nChoices:\nA: 100°\nB: 110°\nC: 120°\nD: 130°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: Given that A, B, and C are points on circle O, with angle AOB measuring 110 degrees, what is the measure of angle ACB?\nChoices:\nA: 55°\nB: 110°\nC: 125°\nD: 140°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle B if points A, B, and C lie on circle O and angle AOC measures 140 degrees?\nChoices:\nA: 70°\nB: 80°\nC: 110°\nD: 140°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle AOB if the circumference angle ACB is 130.0 degrees?\nChoices:\nA: 130°\nB: 115°\nC: 100°\nD: 50°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given diagram, circle O has diameter AB, with points C and D also located on circle O. If angle AOD measures 30 degrees, what is the degree measure of angle BCD?\nChoices:\nA: 75°\nB: 95°\nC: 100°\nD: 105°",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle BDC if AB is the diameter of circle O and points C, D, E lie on circle O, with angle AEC measuring 20.0 degrees?\nChoices:\nA: 100°\nB: 110°\nC: 115°\nD: 120°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, a rectangular piece of paper ABCD is folded along EF, resulting in points D and C moving to positions D' and C' respectively. If angle 1 measures 56.0 degrees, what is the degree measure of angle EFB?\nChoices:\nA: 56°\nB: 62°\nC: 68°\nD: 124°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle AED if angle DCB is 110 degrees and points C and D lie on circle O with AB as its diameter?\nChoices:\nA: 15°\nB: 20°\nC: 25°\nD: 30°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided figure, AB is parallel to CD, and the lines AD and BC intersect at point O. If angle BAD measures 35.0 degrees and angle BOD measures 76.0 degrees, what is the degree measure of angle C?\nChoices:\nA: 31°\nB: 35°\nC: 41°\nD: 76°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided diagram, circle O contains the vertices of triangle ABC. If angle A measures 36.0 degrees, what is the degree measure of angle OBC?\nChoices:\nA: 18°\nB: 36°\nC: 54°\nD: 60°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: , and there are points Q and R on OA and OB respectively, aiming to minimize the circumference of triangle PQR?\nChoices:\nA: 10\nB: 15\nC: 20\nD: 30",
"role": "user"
}
] |
A
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, where OA and OB represent the radii of circle O, and CD is perpendicular to OA while CE is perpendicular to OB, with D and E as the respective foot of the perpendiculars, if angle P is measured at 70 degrees, what is the measure of angle DCE?\nChoices:\nA: 70°\nB: 60°\nC: 50°\nD: 40°",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle BDC if angle BOC is 110.0 degrees and ABDC is a quadrilateral inscribed in circle O?\nChoices:\nA: 110°\nB: 70°\nC: 55°\nD: 125°",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle ACB if angle A measures 20.0 degrees, angle B measures 70.0 degrees, and points A, B, and C lie on circle O?\nChoices:\nA: 50°\nB: 55°\nC: 60°\nD: 65°",
"role": "user"
}
] |
A
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle ABD if AB is the diameter of circle O and chord CD is perpendicular to AB, with E being a point on arc BC and angle CEA measuring 28.0 degrees?\nChoices:\nA: 14°\nB: 28°\nC: 56°\nD: 80°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: Given the figure, where points A, B, and C lie on a known circle, and in triangle ABC, angle ABC measures 70 degrees and angle ACB measures 30 degrees, if D is the midpoint of arc BAC and DB and DC are connected, what is the degree measure of angle DBC?\nChoices:\nA: 30°\nB: 45°\nC: 50°\nD: 70°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, circle O is the circumscribed circle of triangle ABC. If angle ABO measures 50.0 degrees, what is the measure of angle ACB?\nChoices:\nA: 40°\nB: 30°\nC: 45°\nD: 50°",
"role": "user"
}
] |
A
|
Math
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.