Math Geometry Chapter 1 Answer Key

Geometry CP Chapter 1 Review Name C In Exercises 1-6, use the diagram. 1. Are points A, C, and B collinear? 2. Are points E, F, and G collinear? 3. Are points D, F, and B coplanar? 4. Name the intersection of AC and FB De F B A. 5. Name the intersection of EG and plane ACD. 6. Name an opposite ray to FA You are given an equation of a line and a point. Use substitution to determine whether the point is on the line. 7. y=2x-4; A(3, 2) In the diagram, P, Q, R, S, and Tare collinear, PT = 54, QT = 42, QS = 31, and RS = 17. Find the indicated length. P 8. PQ 9. PS 10. ST int B is between A and Con AC. Use the given information to write an equation in terms of x. solve the equation. Then find AB and BC, and determine whether AB and BC are congruent. A B C 11a. AB11x-16 BC=8x-1 AC = 78 11b. AB 3x-7 BC = 2x + 5 AC = 108 12. If Mis the midpoint of PQ. Find PQ. 4x112x17 M Q P Use the coordinates A (-3,-4) and B (-9, 8). 13. Find the coordinates of the midpoint of AB. 14. Find the length of AB. Give another name for the angle in the diagram. Tell whether the angle appears to be acute, obtuse, right, or straight. 15. LKJ 16. ZJLK M 17. ZKJL 18. MKL 19. JML 20. ZKMJ K L 21. Using the picture above fill in the blank: m/KMJ+m/KML = (number answer) Use the given information to find the indicated angle measure. 22. m/WXZ= 23. Given ∠ABC = 133°, find ∠ABD 24. Given ∠GHK = 17°, find ∠KHJ. B W 26 Y X A In the diagram, BID bisects ABC. Find m∠ABC. 26. A (9x-231 B 15x+13) C Find x and m∠CBD. 27. C D 3x 2x A E 28. D (10x+1/19x-11 A B C In Exercises 29-33, use the diagram. Then tell whether the angles are vertical angles, a linear pair, or neither 29. /1 and 2 30.1 and 3 31. 41 and 24 32. 42 and 4 33. 15 and 2 34. 45 and 26 5 6 1 4 2 3 7 8 (34%. Name two angles that are adjacent angles.) Use the given information to write an equation in terms of x. Solve the equation. Then find the measure of each angle. 35. Two angles form a linear pair. The measure of one angle is 15 times the measure of the other angle. Find the measure of each angle. 36. The measure of one angle is 7 times the measure of its complement. Find the measure of each angle. Find the values of x and y 37. (6x-11 (20+19) (2x-9) 38. (10x+7 (9x+2 (18+25) Find the indicated values. 39. A is a complement of ZB. If m∠A = (6x-9)° and m∠B = (8x + 1)°, find x, m∠A, and m/B. 40. C is a supplement of ZD. If m∠C=(11x+2)° and m∠D = (8x + 7), find x, m/C, and m∠D. Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave. 41. 42. 43. Answers to Chapter 1 Test Review Geo CP 1. No 2. Yes 3. Yes 4. A 5. F 6. FB 7. Yes 8. 12 9. 43 10.11 11. a. x=5; AB = BC b. x=11; AB #BC 12. PQ = 14 13. M = (-6, 2) 14. D = 13.4 15. JKL; obtuse 16. KLJ; acute 35. x + 15x = 180; x = 11.25°, 168.75° 36. x + 7x90; x = 11.25°; 78.75° 37. 2x-9+6x-11180;x= 25; y = 6 38. 9x+2+10x+7= 180; x = 9; y = 4 41. Not a polygon 42. Concave polygon 43. Convex polygon 44. Regular Quadrilateral 45. Regular Hexagon 46. Pentagon 47. x = 8 48. x = 11 49. x = 10 50. x = 12 51. P32 in; A = 64 in² 52. P42ft; A = 98 ft² 53. P 107 cm; A = 360 cm² 54. C 153.9 cm; A = 1884.8 cm² 55.129 in 56. h 17 m 17. LJK; acute 18. LKM; right 19. LMJ; straight 20. JMK; obtuse 21. 180 degrees 22.64° 57. D 23. x = 12; mABD = 88 58. C 62. D 29. linear pair 63. B 30. vertical 64. A 31. linear pair 32. vertical 33. neither 34. linear pair