Inscribed Angles in Circles Kuta

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 an inscribed angle intercepts an arc measuring 80˚, what is the measure of the inscribed angle?

Back

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

Can an inscribed angle be greater than 90˚?

Back

No, an inscribed angle cannot be greater than 90˚ if it intercepts an arc less than 180˚.

Front

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

Back

The measures of the two inscribed angles are equal.

Front

What is a central angle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii that intersect the circle.

Front

How does a central angle relate to an inscribed angle?

Back

The inscribed angle is half the measure of the central angle that intercepts the same arc.

Front

If a central angle measures 100˚, what is the measure of the inscribed angle that intercepts the same arc?

Back

50˚

Front

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

Back

The vertex of an inscribed angle must lie on the circle itself.