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Learn the properties of secants and tangents in geometry with Mrs. Mongold. Explore angle measures, interior and exterior angles, and intercepted arcs in secants and tangents.
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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 • Exterior angle = ½ (far arc – close arc)
2 Secants/chords: Angle 1 = ½ (arc AD + arc CB) Angle 2 = ½ (arc AC + arc DB) B 2 1 A D
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