Inscribed Angles

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

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

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°.

Tags

CCSS.HSG.C.A.2

Front

What is the formula to find the measure of an inscribed angle?

Back

Measure of inscribed angle = 1/2 * (measure of intercepted arc).

Tags

CCSS.HSG.C.A.2

Front

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

Back

The measure of the angle is half the difference of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The inscribed angles are equal.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The measure of an angle inscribed in a semicircle is always 90°.

Tags

CCSS.HSG.C.A.2

Front

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

Back

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

Tags

CCSS.HSG.C.A.2

Front

What is the significance of the vertex of an inscribed angle?

Back

The vertex of an inscribed angle must lie on the circle for the angle to be considered inscribed.

Front

If angle E is inscribed and intercepts arc AB, what is the relationship between angle E and arc AB?

Back

The measure of angle E is half the measure of arc AB.

Tags

CCSS.HSG.C.A.2