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Section 11 – 3 Inscribed Angles

Section 11 – 3 Inscribed Angles. Objectives: To find the measure of an inscribed angle. Inscribed Angles & Intercepted Arcs :. Theorem 11 – 9 Inscribed Angle Theorem. The measure of an inscribed angle is half the measure of its intercepted arc.

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Section 11 – 3 Inscribed Angles

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  1. Section 11 – 3 Inscribed Angles Objectives: To find the measure of an inscribed angle

  2. Inscribed Angles & Intercepted Arcs :

  3. Theorem 11 – 9Inscribed Angle Theorem The measure of an inscribed angle is half the measure of its intercepted arc.

  4. Example 1 Using The Inscribed Angle Theorem A) Find the values of a and b.

  5. Example 1 Using The Inscribed Angle Theorem B) Find mPQR if =60

  6. Example 1 Using The Inscribed Angle Theorem C) Find the values of x and y.

  7. Corollaries to the inscribed angle theorem • Two inscribed angles that intercept the same arc are congruent • An angle inscribed in a semicircle is a right angle • The opposite angles of a quadrilateral inscribed in a circle are supplementary.

  8. Example 2 Using Corollaries to Find Angles A) Find the measure of the numbered angle.

  9. Example 2 Using Corollaries to Find Angles B) Find the measure of the numbered angle.

  10. Example 2 Using Corollaries to Find Angles C) Find the measure of the numbered angle.

  11. Example 2 Using Corollaries to Find Angles D) Find the value of a and b.

  12. HOMEWORK:11 – 3;

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