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12.3 Inscribed Angles

12.3 Inscribed Angles. Vocab: inscribed angle. - an angle whose vertex is on a circle and whose sides are chords <ABC and <DEF are inscribed angles in the circles shown below: <ABC intercepts minor arc AC <DEF intercepts major arc DGF *intercept means “forms”.

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12.3 Inscribed Angles

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  1. 12.3 Inscribed Angles

  2. Vocab: inscribed angle -an angle whose vertex is on a circle and whose sides are chords <ABC and <DEF are inscribed angles in the circles shown below: <ABC intercepts minor arc AC <DEF intercepts major arc DGF *intercept means “forms”

  3. Theorem 12-9: Inscribed Angle Theorem A • The measure of an inscribed angle is equal to half of its intercepted arcs. C B

  4. Examples Find m<ABC Find m<ABC and m<ABD

  5. Examples Find m<DEF and mAEC Find m<ABC

  6. 3 inscribed < corollaries (thm sheet)

  7. Theorem 12-10 The measure of an angle formed by a chord and a tangent is equal to half the measure of the intercepted arc. B B D D C C

  8. Ex: find the numbered angles. 1 108˚ 32˚ 1 2 1 2 102˚ 1 61˚ 46˚

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