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Please get your warm up off the back table The Bigger Circle Puzzle

Please get your warm up off the back table The Bigger Circle Puzzle. Today’s agenda. Warm up Folders/progress reports Grade homework Lecture/notes Work time. A. C. P. 40 °. V. Inscribed Angle. An angle whose vertex is on a circle and whose sides are chords of the circle.

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Please get your warm up off the back table The Bigger Circle Puzzle

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  1. Please get your warm up off the back tableThe Bigger Circle Puzzle

  2. Today’s agenda • Warm up • Folders/progress reports • Grade homework • Lecture/notes • Work time

  3. A C P 40° V Inscribed Angle • An angle whose vertex is on a circle and whose sides are chords of the circle. Inscribed Angle Theorem The measure of an inscribed angle is ½ the measure of the intercepted arc. Measure of arc AC = 80° mAVC = ?? AVC is an inscribed angle

  4. Right Angle Corollary • If a side of an inscribed triangle is a diameter, then the opposite angle is a right angle. D The intercepted arc (major arc ADC) is 180° so B has to be ½ that, which is 90° A C B

  5. Arc Intercept Corollary • If 2 inscribed angles intercept the same arc, they have the same measure. X A B D mA = mX Measure of arc CB = measure of arc CB C

  6. Your assignment • Pg 585; 11-32

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