12.3 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.

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 formula to find the measure of an inscribed angle?

Back

The measure of an inscribed angle = 1/2 * (measure of the intercepted arc).

Front

If angle ACB is 45°, what is the measure of arc AB?

Back

The measure of arc AB is 90°.

Front

What is the measure of an angle formed by two tangents drawn from a point outside a circle?

Back

The measure of the angle formed by two tangents is equal to half the difference of the measures of the intercepted arcs.

Front

How do you find 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.

Front

What is the measure of angle A if it intercepts an arc measuring 126°?

Back

The measure of angle A is 63°.

Front

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

Back

The two inscribed angles are equal.

Front

What is the measure of angle A if it intercepts an arc measuring 54°?

Back

The measure of angle A is 27°.