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Chapter 10 Review

Chapter 10 Review. California State Standards 4: Prove theorems involving – and ~ 7: Prove/use theorems involving circles. 17: Prove theorems by using coordinate geometry. 21: Prove/solve relationships with circles. Circle Center Radius Diameter Chord Secant Tangent

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Chapter 10 Review

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  1. Chapter 10 Review California State Standards 4: Prove theorems involving –and ~ 7: Prove/use theorems involving circles. 17: Prove theorems by using coordinate geometry. 21: Prove/solve relationships with circles.

  2. Circle Center Radius Diameter Chord Secant Tangent Common Internal Common External Central Angle Arc Minor Major Semicircle Arc measure Circumscribed Circle Inscribed Angle Inscribed Polygon Intercepted Arc Equation of a circle Circle Vocabulary

  3. Tangent-Perpendicular Perpendicular-Tangent Congruent Tangents Congruent Arcs & Chords Diameter-Chord Chord-Diameter Congruent Chords Inscribed Angle Measure Congruent Inscribed Angles Inscribed Quadrilateral Inscribed Right Triangle Tangent-Chord Angles Chord-Chord Angles Tangent/Secant Angles Chord Product Secant Product Secant-Tangent Product Arc Addition Postulate theorems

  4. Find the length of HG Find the length of BJ Find the measure of HI 6 55o A B H 8 x P J 9 12 4 I 4 G C D F 62 ½ o E

  5. mBCA Find the measure of the arc. 204o B 102o C A

  6. mACB Find the value of x. B 3xo C (4x + 50)o 3x = ½(4x + 50) 3x = 2x + 25 A x = 25 = 4x + 50 = 4(25) + 50 = 150

  7. examples 40o Find the value of x. B C x = ½(40 + 120) x = 80 xo D A 120o

  8. examples Find the value of x. x = ½(280 – 80) x = 100 P S x 80o R Q

  9. examples Find the value of x and y. x = ½(78 + 170) 78o x = 124 30o xo yo y = ½(160) y = 80 170o

  10. Statement Reason proof P N J Given: Prove: Q K R

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