Inscribed Angles and Theorems

Front

What is an inscribed angle of a circle?

Back

An angle is an inscribed angle of a circle if its vertex is on the circle and its sides are chords of the circle.

Front

What is the intercepted arc in relation to an inscribed angle?

Back

The arc that lies in the interior of an inscribed angle is its intercepted arc.

Front

What does Theorem 10.9 state?

Back

If an angle is inscribed in a circle, then its measure is half the measure of its intercepted arc.

Front

What does Theorem 10.10 state?

Back

If two inscribed angles of a circle intercept the same arc, then the angles are congruent.

Front

What does Theorem 10.11 state?

Back

An angle that is inscribed in a circle is a right angle if and only if its corresponding arc is a semicircle.

Front

What does Theorem 10.12 state?

Back

A quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary.