Lesson 3-7: Secants and Tangents and Angle Measure

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Presentation transcript:

Lesson 3-7: Secants and Tangents and Angle Measure Mrs. Mongold Advanced Math Topics

Secant and Tangent Two Secants: Two Secants Two Tangents 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

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

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

Find angle x

Find angle x

Find x (arc JK)

Find angle RPS

Find arc BD

Find angle FGI

Find arc BC

Find x

Find arc ZYX