Inscribed and Central Angles

Front

What is the measure of an inscribed angle?

Back

An inscribed angle is half the measure of its intercepted arc.

Front

What is the relationship between a central angle and its corresponding arc?

Back

The measure of an arc is equal to the measure of its corresponding central angle.

Front

What is the definition of a central angle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii.

Front

What is the definition of an inscribed angle?

Back

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint.

Front

If the measure of an inscribed angle is 30 degrees, what is the measure of its intercepted arc?

Back

The measure of the intercepted arc is 60 degrees.

Front

If the measure of a central angle is 80 degrees, what is the measure of the corresponding arc?

Back

The measure of the corresponding arc is 80 degrees.

Front

What is the measure of angle XWE if it intercepts an arc of 112 degrees?

Back

The measure of angle XWE is 56 degrees.

Front

What is the measure of angle EDF if it intercepts an arc of 120 degrees?

Back

The measure of angle EDF is 60 degrees.

Front

How do you find the measure of an inscribed angle?

Back

To find the measure of an inscribed angle, take half the measure of the arc it intercepts.

Front

What is the relationship between two inscribed angles that intercept the same arc?

Back

Two inscribed angles that intercept the same arc are equal.