Geometry Chapter 9 Review Show work to receive credit! C For circle P: Name ________________________ Date ________________ Per. _____ F B B A C P G F A D D E E 1. Given CE = diameter, mCD = 140 BP bisects APC Find a) mAE b) mECB 2. Given CE = 26, AD = 10 Find a) PF b) FE c) BP For circle A: B 3. Given mAB = 70 , mAE = 100 , mED = 60 , m AGE = 81 Find a) mCD b) mBC c) m AFE d) m ADF e) m BAD 4. Given AB = 6, BF = 10, FE = 20 Find a) FD b) FC B C D A A C D 5. Given AB = 5, BC = 24, find DC 6. Given BC = 15, DC = 9, find AC Given m ABC = 5x – 31, m BAD = 3x + 17, m BCD = 8x – 24 7. Find a) x b) m ADC 8. Find the radius and coordinates of the center of the circle with equation x2 + (y – 5)2 = 49. 9. A central angle is a right angle. What is the measure of its minor arc? 10. Points A, B, and D are on circle C. If m ACB = 70 and BD is diameter, find mADB. 11. Suppose a chord of a circle is 80 cm long and is 30 cm from the center of the circle. Find the length of the radius and the diameter. 12. Suppose a chord of a circle is 32 ft long and its midpoint is 30 ft from the center of the circle. Find the diameter of the circle. 13. Suppose the radius of a circle is 17 in long and a chord is 30 in long. Find the distance from the center of the circle to the chord. 14. Suppose the radius of a circle is 15 cm and the center is 9 cm from the midpoint of a chord. Find the length of the chord. 15. Write and equation for the circle with center P(5, -2) and a diameter of 6 units. Refer to circle A. BE and CF are diameters, m EAD = 50, m FAE = 60 and AB = 4. C 16. CF 17. mBEC B D A E F Refer to circle C. If m AD = 84 , m AB = 116 and AE is a diameter, find each measure. 18. m AEB B A 19. m DAB C 20. m ABE 21. m BAE E D Find the value of x. Assume that segments that appear to be tangent are tangent. 22. 23. 8 ft x ft 3 cm 4 cm 10 ft 24. x cm 12 cm 25. 110 x 70 30 180 x 26. 27. x x 6 7 5 6 5