Inscribed Angles

Front

What is an inscribed angle in a circle?

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

How do you calculate the measure of an inscribed angle?

Back

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

Front

What is the relationship between an inscribed angle and its intercepted arc?

Back

The inscribed angle is always 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 angle inscribed in a semicircle?

Back

An angle inscribed in a semicircle is a right angle (90°).

Front

How do you find the measure of an angle formed by two secants that intersect outside a circle?

Back

The measure of the angle formed by two secants is equal to half the difference of the measures of the intercepted arcs.

Front

What is the formula for the measure of an angle formed by two tangents?

Back

The measure of the angle formed by two tangents is equal to half the difference of the measures of the intercepted arcs.

Front

If two chords intersect inside a circle, how do you find the measure of the angles formed?

Back

The measure of each angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Front

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

Back

The measure of arc AB is 60°.

Front

What is the relationship between angles inscribed in the same arc?

Back

Angles inscribed in the same arc are equal.