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Lesson 10-6: Secants and Tangents and Angle Measures

Lesson 10-6: Secants and Tangents and Angle Measures. Mrs. Mongold Geometry CP. Secant and Tangent Interior angle = ½ intercepted arc Two Secants: Interior angle = ½ (sum of intercepted arcs) Two Secants Exterior angle = ½ (far arc – close arc) Two Tangents

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Lesson 10-6: Secants and Tangents and Angle Measures

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  1. Lesson 10-6: Secants and Tangents and Angle Measures Mrs. Mongold Geometry CP

  2. Secant and Tangent • Interior angle = ½ intercepted arc • Two Secants: • Interior angle = ½ (sum of intercepted arcs) • Two Secants • Exterior angle = ½ (far arc – close arc) • Two Tangents • Exterior angle = ½ (far arc – close arc)

  3. 2 Secants/chords: Angle 1 = ½ (arc AD + arc CB) Angle 2 = ½ (arc AC + arc DB) B 2 1 A D

  4. E Secant ED intersects tangent FC at a point of tangency (point F) Angle 1 = ½ arc FE Angle 2 = arc EA – arc FB 1 F B A 2 C

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