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Theorem 9-9

Theorem 9-9. The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs. A. D. 1. C. B. Theorem 9-10.

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Theorem 9-9

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  1. Theorem 9-9 • The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs. A D 1 C B

  2. Theorem 9-10 • The measure of an angle formed by two secants, two tangents or a secant and a tangent from a point outside a circle is equal to half the difference of the measures of the intercepted arcs. A D 1 C B

  3. Case 1: 2 Secants m ArcA m ArcB 1

  4. Case 2: 2 Tangents m Arc A m ArcB 1

  5. Case 3: 1 Secant/1 Tangents m Arc A m ArcB 1

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