Angles Formed by Secants and Tangents

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Presentation transcript:

Angles Formed by Secants and Tangents Section 9.4 Pg. 588 Mrs. Riggle

Lesson Objectives Today we will learn how to: Define angles formed by secants and tangents of circles. Use theorems about measures of arcs intercepted by these angles.

Classifications of Angles with Circles

Case 1: Vertex On Circle Find each measure: m<BCD mABC

Case 2: Vertex Inside Circle Find the angle measure: m<SQR

Case 3: Vertex Outside Circle Find the value of x:

Summary

You try! Remember -Vertex On Circle = ½ measure of the arc. -Vertex Inside Circle = ½ sum of the intercepted arcs. -Vertex Outside Circle = ½ difference of the intercepted arcs.

Assignment Independent Work Work to be Submitted Pgs. 593–594, #11–25, odds. Check your answers in the back of the textbook when you are finished. Work to be Submitted 9.4 EdMastery Assignment Due 4p.m. Friday, April 15, 2011. Have a nice weekend!