Inscribed Angle Theorem

an angle whose vertex is a point on a circle and whose sides are two chords of the circle

• Corollary 1 of the InscribedAngle Theorem

• Inscribed Angle Theorem

• inscribed angle

A(n) _____ angle is an angle whose vertex is a point on a circle and whose sides are two chords of the circle.

• acute

• obtuse

• inscribed

• intercepted

The measure of an inscribed angle is _____ the measure of its intercepted arc.

• half

• equal to

• one-fourth

• twice

Which phrases completes this theorem correctly? The measure of an inscribed angle equals ....

• half the measure of the intercepted arc.

• twice the measure of the intercepted arc.

• the measure of the intercepted arc.

What is an inscribed angle?

• An angle whose vertex is on a circle and whose sides contain chords of the circle.

• An angle whose vertex is outside a circle and whose sides contain chords of the circle.

• An angle whose vertex is at the center of a circle and whose sides contain radii of the circle.

• An angle whose vertex is on a circle and whose sides contain tangents of the circle.

The measure of an inscribed angle with the center of the circle in the exterior of the angle is half the measure of its _____ arc. (Corollary 3 of the Inscribed Angle Theorem)

• exterior

• intersected

• intercepted

• inscribed

If inscribed angles in a circle or congruent circles intercept the same arc or congruent arcs, then the angles are _____.

• supplementary

• complementary

• opposite

• congruent

The measure of an inscribed angle with the center of the circle in the interior of the angle is half the measure of its _____ arc. (Corollary 2 of the Inscribed Angle Theorem)

• intercepted

• intersected

• inscribed

• exterior

The measure of an inscribed angle whose side is a _____ is half the measure of its intercepted arc. (Corollary 1 of the Inscribed Angle Theorem)

• chord

• diameter

• circumference

• radius

If an inscribed angle intercepts a _____, then the angle is a right angle. (Theorem 7.5C)

• chord

• radius

• right angle

• semicircle