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Chapter 10 : Circles

Chapter 10 : Circles. 10.4.1 Use Inscribed Angles and Polygons. Inscribed Angles. An Inscribed Angle is an angle whose vertex is on a circle and whose sides contain chords of the circle. An Intercepted Arc is an arc whose endpoints are on an Inscribed Angle. m  DAB = ½ mDB.

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Chapter 10 : Circles

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  1. Chapter 10: Circles 10.4.1 Use Inscribed Angles and Polygons

  2. Inscribed Angles • An Inscribed Angle is an angle whose vertex is on a circle and whose sides contain chords of the circle. • An Intercepted Arc is an arc whose endpoints are on an Inscribed Angle mDAB = ½ mDB 2*mDAB = mDB A D B

  3. Inscribed angle congruency Theorem • If two inscribed angles intercept the same arc, then the angles are congruent D A DAE  DBE B E

  4. Find the measure of each angle AE and BD are diameters mACD = mAED = A mBDE = mBED = B D C E

  5. What do you notice about BED and BD in the previous problem? • a right triangle is inscribed in a triangle iff the hypotenuse is a diameter B D F G E

  6. Homework • p. 676 • 1, 2, 5 – 8, 10 – 12, 16 – 18, 43 – 47odd

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