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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 A D mDAB = ½ mDB 2*mDAB = mDB B Inscribed angle congruency Theorem If two inscribed angles intercept the same arc, then the angles are congruent D A DAE DBE B E Find the measure of each angle AE and BD are diameters mACD = mAED = A mBDE = mBED = B C E D 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 Homework p. 676 1, 2, 5 – 8, 10 – 12, 16 – 18, 43 – 47odd