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10.4 Inscribed Angles

10.4 Inscribed Angles. Inscribed Angle. An angle with vertex on a circle and sides that contain chords of the circle. Thrm. The measure of an inscribed angle is ½ the measure of the intercepted arc. 102. Corallary.

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10.4 Inscribed Angles

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  1. 10.4 Inscribed Angles

  2. Inscribed Angle • An angle with vertex on a circle and sides that contain chords of the circle.

  3. Thrm • The measure of an inscribed angle is ½ the measure of the intercepted arc. 102

  4. Corallary • If two inscribed angles intercept the same arc, then the angles are congruent. EX 80

  5. Corallary • If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary.

  6. Corallary • An angle inscribed in a semicircle is a right angle. Also, if an inscribed angle is right its intercepted arc is a semicircle. 90

  7. Thrm • The measure of a tangent-chord angle is ½ the measure of its intercepted arc. 220 110

  8. Examples 112

  9. Examples (cont) B A C D

  10. Home Work

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