Arcs and Inscribed Angles

Front

If two inscribed angles intersect the same arc, then ...

Back

they are congruent.

Front

The measure of an inscribed angle equals ...

Back

half the measure of the intercepted arc.

Front

Find the measure of arc AB if the inscribed angle is 34 degrees.

Back

68 degrees.

Front

What is the measure of angle PRQ if it intercepts an arc of 102 degrees?

Back

51 degrees.

Front

Solve for x if the inscribed angle is 51 degrees.

Back

51 degrees.

Front

What is an inscribed angle?

Back

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

Front

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

Back

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

Front

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

Back

Multiply the measure of the inscribed angle by 2.

Front

What is the measure of an angle inscribed in a semicircle?

Back

90 degrees.

Front

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

Back

They are equal.