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Lesson 3-7: Secants and Tangents and Angle Measure

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Presentation on theme: "Lesson 3-7: Secants and Tangents and Angle Measure"— Presentation transcript:

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

2 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

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

4 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

5 Find angle x

6 Find angle x

7 Find x (arc JK)

8 Find angle RPS

9 Find arc BD

10 Find angle FGI

11 Find arc BC

12 Find x

13 Find arc ZYX


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