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

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

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 is equal to half the difference of the measures of the intercepted arcs.

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 an angle inscribed in a semicircle?

Back

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

Front

How do you calculate 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 through the point of contact is equal to half the measure of the intercepted arc.

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 ACB is inscribed in a circle and intercepts arc AB, what is the relationship between angle ACB and arc AB?

Back

Angle ACB = 1/2 * arc AB.