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 120°, what is the measure of the inscribed angle ACB?

Back

The measure of angle ACB is 60°.

Front

What is the formula to find the measure of an inscribed angle?

Back

Measure of inscribed angle = 1/2 * (measure of intercepted arc).

Front

If two inscribed angles intercept the same arc, what can be said about their measures?

Back

The inscribed angles are equal.

Front

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

Back

The measure of the inscribed angle is 90°.

Front

How do you find the measure of an arc given the inscribed angle?

Back

Measure of arc = 2 * (measure of inscribed angle).

Front

If angle A is inscribed in a circle and intercepts arc BC, and the measure of angle A is 45°, what is the measure of arc BC?

Back

The measure of arc BC is 90°.

Front

What is the significance of the vertex of an inscribed angle?

Back

The vertex of an inscribed angle is always located on the circle.

Front

If angle D intercepts arc EF measuring 80°, what is the measure of angle D?

Back

The measure of angle D is 40°.