Circle Theorems Quiz

What is the relationship between the angle at the center and the angle at the circumference of a circle?

• The angle at the center is equal to the angle at the circumference.

• The angle at the center is triple the angle at the circumference.

• The angle at the center is double the angle at the circumference.

• The angle at the center is half the angle at the circumference.

What is the angle in a semicircle?

• 180 degrees

• 90 degrees

• 60 degrees

• 45 degrees

What should you ensure when identifying the angle in a semicircle?

• That it is subtended by a diameter.

• That it is less than 90 degrees.

• That it is a right angle.

• That it is more than 90 degrees.

How can angles in the same segment of a circle be described?

• They are supplementary.

• They are complementary.

• They are equal.

• They are always different.

What shape can help you remember the theorem about angles in the same segment?

• A triangle

• A square

• A bow tie

• A rectangle

What is the key term used to describe angles subtended by the same arc?

• Tangent

• Radius

• Segment

• Chord

What is a cyclic quadrilateral?

• A quadrilateral with all vertices on the circumference of a circle.

• A quadrilateral with opposite angles equal.

• A quadrilateral with all angles equal.

• A quadrilateral with all sides equal.

What is the sum of opposite angles in a cyclic quadrilateral?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

Which of the following is NOT a characteristic of a cyclic quadrilateral?

• All sides are equal.

• It is inscribed in a circle.

• All vertices lie on the circumference of a circle.

• Opposite angles sum up to 180 degrees.

What should you do after learning the four theorems in the video?

• Write them down and test your knowledge.

• Only remember the first one.

• Forget about them.

• Ignore them.