9-4 Inscribed angles (Flashcardizz)

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

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

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 relationship between inscribed angles that intercept the same arc?

Back

Inscribed angles that intercept the same arc are equal in measure.

Front

What is the measure of a semicircle?

Back

The measure of a semicircle is 180°.

Front

If an inscribed angle intercepts a semicircle, what is its measure?

Back

The measure of an inscribed angle that intercepts a semicircle is 90°.

Front

What is the formula for finding the measure of an arc?

Back

The measure of an arc can be found using the formula: m(arc) = 2 * m(inscribed angle).

Front

If angle D is an inscribed angle that intercepts arc EF measuring 60°, what is m∠D?

Back

m∠D = 30°.

Front

What is the relationship between a central angle and an inscribed angle that intercept the same arc?

Back

The measure of a central angle is twice the measure of the inscribed angle that intercepts the same arc.

Front

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

Back

To find the measure of an arc given the inscribed angle, multiply the measure of the inscribed angle by 2.