Central and Inscribed Angles

Front

What is an inscribed angle?

Back

An angle formed by two chords in a circle which have a common endpoint. The vertex of the angle is on the circle.

Front

What is a central angle?

Back

An angle whose vertex is at the center of the circle and whose sides are radii of the circle.

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

What is the measure of an angle formed by a diameter and a chord?

Back

The angle is a right angle (90°).

Front

What is a chord in a circle?

Back

A line segment whose endpoints lie on the circle.

Front

What is a secant line?

Back

A line that intersects a circle at two points.

Front

What is a tangent line?

Back

A line that touches a circle at exactly one point.

Front

If m∠ACB = 22.5°, what is the measure of the intercepted arc AB?

Back

The measure of arc AB is 45°.

Front

What is the relationship between the angles formed by two intersecting chords?

Back

The measure of each angle is equal to half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Front

If a central angle measures 60°, what is the measure of the corresponding inscribed angle?

Back

The inscribed angle measures 30°.