Math Geom Chapter 10 Review 2

Chapter 10 Review #2 Name: Rey Geometry CP State the best term for the given figure in the diagram. 1. FE - Common Internal Tangent 2. FG - Radius 3. HG - Radius 4. DB - Chord 5. C - Center 6. BE - Diameter 7. DB - Secant 8. AB - Common External Tangent Find the value(s) of the variable(s). 9. x = 28° (Inscribed Angle) 10. x = 80° (Inscribed Angle) 11. x = 20° (Opposite angles of an inscribed quadrilateral are supplementary) 12. x = 70° (Tangent-Tangent Angle and inner angles are supplementary) 13. x = 16° (Vertex outside the circle) 14. x = 106° (Bow-Tie Angle) Write the standard equation of the circle with the given center and radius. 15. Center: (0, 0), radius: 9 Equation: x² + y² = 81 16. Center: (-5, 2), radius: 3 Equation: (x + 5)² + (y - 2)² = 9 Find the center and radius from the equation of each circle, and then graph the circle. 17. x² + (y - 4)² = 9 Center: (0, 4) Radius: 3 18. (x + 2)² + (y - 5)² = 4 Center: (-2, 5) Radius: 2 Find the indicated measure. 19. m∠GHJ = 86° (Inscribed Angle) 20. m∠1 = 119° (Chord-Tangent Angle) 21. m∠2 = 82° (Bow-Tie Angle) Find the value of x. Round your decimals to the nearest tenth. 22. 8x = 56 x = 7 23. 9(12) = 9(x + 9) 108 = 9x + 81 27 = 9x x = 3 24. 7(12) = 6(6 + x) 84 = 36 + 6x 48 = 6x x = 8 Find the following specified values. 25. Common External Tangent problem: x² + 2² = 8² x² = 60 x ≈ 7.7 or 2√15 26. Walk Around Problem: In the diagram, AB = AC = 12, and BC = 8. All are tangent to P. Let BE = x. Find FC. 12 - x = 8 x = 4 FC = 4 27. ALGEBRA: In the diagram, BA is tangent to ⊙E. Find mCD. 80 + 7x - 3x = 360° 80 + 4x = 360° 4x = 280° x = 70° mCD = 160°