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8-3A Inscribed Angles

8-3A Inscribed Angles. What is an inscribed angle? What is the relationship between an inscribed angle and its intercepted arc?. Find the measure of each arc. 54 ° 180° 306°. E. m DE m AED m EBD. 54 °. A. D. C. B. What kind of angle is angle ECD? Central angle. B. C. A.

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8-3A Inscribed Angles

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  1. 8-3A Inscribed Angles What is an inscribed angle? What is the relationship between an inscribed angle and its intercepted arc?

  2. Find the measure of each arc 54° 180° 306° E • mDE • mAED • mEBD 54° A D C B What kind of angle is angle ECD? Central angle

  3. B C A Definition His name was inscribed on the award. The square is inscribed in the circle. An inscribed angle is an angle with its vertex on a circle and sides that contain chords of the circle.

  4. Sizing Up Inscribed Angles A • Measure the central angle • What is the measure of the arc AB? • Measure the inscribed angle • Compare the measure of the central angle and the inscribed angle. C B D

  5. Inscribed Angle Theorem The measure of an inscribed angle is half the measure of its intercepted arc. A C B

  6. Find the measure of each angle or arc indicated by a variable. x° C 24° z° 160° 48° 90° y° 80°

  7. Theorem If two inscribed angles intercept the same arc, then they are congruent. A D B C

  8. Theorem An inscribed angle that intercepts a semicircle is a right angle.

  9. What is an inscribed angle? An inscribed angle is an angle with its vertex on a circle and sides that contain chords of the circle. • What is the relationship between an inscribed angle and its intercepted arc? The measure of an inscribed angle is half the measure of its intercepted arc.

  10. Assignment 8-3A Page 586, 1-6, 8-12, 29-36

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