Inscribed Angles

Question 1

What is an Inscribed Angle?

Answer 1

An angle shared by two chords with a common endpoint.

Question 2

What is the Inscribed Angle Theorem?

Answer 2

mABC=1/2mAC. The measure of an inscribed angle is half the measure of its intercepted arc.

Question 3

What is the Inscribed Angles Corollary?

Answer 3

If inscribed angles of a circle intercept the same arc or are subtended by the same chord or arc, then the angles are congruent.

Question 4

What is the Inscribed Right Angle Theorem?

Answer 4

If an inscribed angle subtends a semicircle, the angle is a right angle.

Question 5

What is the Quadrilateral Inscribed Angles Theorem?

Answer 5

If a Quadrilateral is inscribed in a Circle, then its opposite angles are supplementary.