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

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.

Tags

CCSS.HSG.C.A.2

Front

How do you calculate the measure of an inscribed angle if you know the measure of the intercepted arc?

Back

To find the measure of the inscribed angle, divide the measure of the intercepted arc by 2.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of an inscribed angle that intercepts an arc measuring 80 degrees?

Back

The measure of the inscribed angle is 40 degrees.

Tags

CCSS.HSG.C.A.2

Front

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

Back

If two inscribed angles intercept the same arc, they are equal in measure.

Tags

CCSS.HSG.C.A.2

Front

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

Back

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

Tags

CCSS.HSG.C.A.2

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 that intersect outside a circle is equal to half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

What is the formula for finding the measure of an angle formed by a tangent and a chord?

Back

The measure of the angle formed by a tangent and a chord is equal to half the measure of the intercepted arc.

Tags

CCSS.HSG.C.A.2

Front

If m∠PRQ = 51°, what is the measure of the intercepted arc?

Back

The measure of the intercepted arc is 102°.

Tags

CCSS.HSG.C.A.2

Front

What is the measure of angle ACB if it intercepts an arc measuring 45 degrees?

Back

The measure of angle ACB is 22.5 degrees.

Tags

CCSS.HSG.C.A.2