Circle Theorems Quiz

What is the name of the line that goes from one side of the circle to the other?

• Chord

• Diameter

• Radius

• Tangent

What does a chord do to a circle?

• None of the above

• Splits it into two segments

• Creates a tangent

• Forms a radius

According to the first circle theorem, what can be said about angles in the same segment?

• They are right angles

• They are equal

• They are complementary

• They are supplementary

What is the informal name sometimes given to the first circle theorem?

• Butterfly theorem

• Kite theorem

• Bow tie theorem

• Star theorem

What is the angle in a semicircle according to the second circle theorem?

• 120 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What is the relationship between the angle at the center and the angle at the circumference using the same chord?

• The angles are complementary

• The angles are equal

• The angle at the center is twice the angle at the circumference

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

If the angle at the center of a circle is 100 degrees, what is the angle at the circumference using the same chord?

• 75 degrees

• 100 degrees

• 25 degrees

• 50 degrees

What is a quadrilateral called if all its vertices lie on the circumference of a circle?

• Circumquadrilateral

• Inscribed quadrilateral

• Cyclic quadrilateral

• Regular quadrilateral

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

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

In a cyclic quadrilateral, if one angle is 110 degrees, what is the measure of its opposite angle?

• 100 degrees

• 90 degrees

• 80 degrees

• 70 degrees