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Angles Formed by Secants and Tangents

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.

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Angles Formed by Secants and Tangents

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

  2. 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.

  3. Classifications of Angles with Circles

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

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

  6. Case 3: Vertex Outside Circle • Find the value of x:

  7. Summary

  8. 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.

  9. Independent Work 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. Assignment Have a nice weekend!

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