Inscribed Angles

Front

What is an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle, and the sides of the angle are the chords.

Front

What is the relationship between an inscribed angle and the arc it intercepts?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

If the measure of arc AB is 80°, what is the measure of the inscribed angle ACB?

Back

The measure of angle ACB is 40°.

Front

What is the measure of an inscribed angle if it intercepts a semicircle?

Back

The measure of the inscribed angle is 90°.

Front

How do you find the measure of an inscribed angle when given the measures of the arcs it intercepts?

Back

Add the measures of the intercepted arcs and divide by 2.

Front

If m∠F is 46°, what is the measure of the arc intercepted by angle F?

Back

The measure of the intercepted arc is 92°.

Front

What is the measure of angle ACB if arc AB measures 90°?

Back

The measure of angle ACB is 45°.

Front

What is the significance of a diameter in relation to inscribed angles?

Back

An inscribed angle that intercepts a diameter is a right angle (90°).

Front

If m∠LMO is 90° and segment LO is a diameter, what can be inferred about the arc intercepted by angle LMO?

Back

The arc intercepted by angle LMO is a semicircle.

Front

What is the measure of angle ACB if arc AB measures 30°?

Back

The measure of angle ACB is 15°.