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Name: ________________________ Class: ___________________ Date: __________ ID: A Geometry Analysis Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Classify the triangle by its sides and angles. 3. What are the names of four coplanar points? . a. right isosceles b. obtuse scalene c. acute scalene d. acute isosceles 2. What are the names of three collinear points? a. Points D, A, K, and J are coplanar. b. Points D, A, B, and J are coplanar. c. Points L, K, D, and B are coplanar. d. Points D, A, L, and J are coplanar. 4. Are points C, G, and H collinear or noncollinear? a. noncollinear b. collinear c. impossible to tell 5. Name the ray in the figure. a. BA a. b. c. d. Points Points Points Points D, J , and K are collinear. A, J , and B are collinear. D, J , and B are collinear. L, J , and K are collinear. b. c. AB BA d. 1 AB 10. Complete the statement. 6. What is the name of the ray that is opposite BA ? a. BD b. BA c. CA DGF ? a. DFE b. DEF c. EDF d. FED 11. If mDEF 122, then what are mFEG and mHEG? The diagram is not to scale. d. DA 7. If EF 6 and EG 21 , find the value of FG. The drawing is not to scale. a. 17 b. 15 c. 14 d. 6 8. If EF 5x 15, FG 53, and EG 143 , find the value of x. The drawing is not to scale. a. b. c. d. a. mFEG 122, mHEG 58 b. mFEG 58, mHEG 132 c. mFEG 68, mHEG 122 d. mFEG 58, mHEG 122 12. If mEOF 26 and mFOG 38, then what is the measure of EOG? The diagram is not to scale. x7 x 75 x 15 x 17 9. If Z is the midpoint of RT , what are x, RZ, and RT? a. b. c. d. x = 13, RZ = 48, and RT = 24 x = 11, RZ = 16, and RT = 32 x = 13, RZ = 24, and RT = 48 x = 15, RZ = 24, and RT = 48 a. b. c. d. 2 64 12 52 76 16. Name an angle vertical to DGE. 13. How are the two angles related? a. vertical b. supplementary c. complementary d. adjacent 14. Name an angle supplementary to COD. a. DGI b. EGJ c. JGI d. EGH 17. Name an angle adjacent to DGE. a. AOE b. COA c. BOD d. COB 15. Name an angle complementary to COD. a. b. c. d. a. FGI b. EGH c. HGJ d. JGI 18. Supplementary angles are two angles whose measures have a sum of ____. Complementary angles are two angles whose measures have a sum of ____. a. 90; 180 b. 90; 45 c. 180; 360 d. 180; 90 EOD AOC EOA COB 3 19. MO bisects LMN, mLMO 6x 22, and mNMO 2x 34. Solve for x and find mLMN. The diagram is not to scale. 23. What is the value of x? a. 63 b. 53 c. 159 d. 43 24. m3 37. Find m1. a. x = 13, mLMN 56 b. x = 13, mLMN 112 c. x = 14, mLMN 62 d. x = 14, mLMN 124 20. Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10). a. (7, 6) b. (1, 4) c. (14, 12) d. (2, 8) 21. Based on the pattern, what are the next two terms of the sequence? 9, 15, 21, 27, . . . a. 33, 972 b. 39, 45 c. 162, 972 d. 33, 39 a. 37 b. 143 c. 27 d. 153 25. Find the values of x and y. 22. What is the value of x? a. b. c. d. –19 125 19 55 a. b. c. d. 4 x = 15, y = 17 x = 112, y = 68 x = 68, y = 112 x = 17, y = 15 29. What is the relationship between 3 and 6? Use the diagram to find the following. a. corresponding angles b. same-side interior angles c. alternate interior angles d. alternate exterior angles 30. Line r is parallel to line t. Find m5. The diagram is not to scale. 26. Identify a pair of alternate exterior angles. a. 3 and 4 b. 1 and 2 c. 1 and 6 d. 2 and 6 27. What are three pairs of corresponding angles? a. angles 1 & 2, 3 & 8, and 4 & 7 b. angles 1 & 7, 8 & 6, and 2 & 4 c. angles 3 & 4, 7 & 8, and 1 & 6 d. angles 1 & 7, 2 & 4, and 6 & 7 28. Which angles are corresponding angles? a. b. c. d. a. b. c. d. 8 and 16 7 and 8 4 and 8 none of these 5 45 35 135 145 31. Find the value of k. The diagram is not to scale. 33. Which triangles are congruent by ASA? a. 17 b. 73 c. 118 d. 107 32. Find the value of x. The diagram is not to scale. a. b. c. d. 33 162 147 75 a. b. c. d. 6 ABC and TUV VTU and ABC VTU and HGF none 34. Which pair of triangles is congruent by ASA? a. 35. Name the theorem or postulate that lets you immediately conclude ABD CBD. a. AAS b. SAS c. ASA d. none of these 36. Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? b. c. a. either SAS or AAS b. SAS only c. AAS only d. neither 37. From the information in the diagram, can you prove FDG FDE ? Explain. d. a. b. c. d. 7 yes, by ASA yes, by AAA yes, by SAS no 38. What is the value of x? 40. Find the length of AB, given that DB is a median of the triangle and AC = 26. a. 71° b. 142° c. 152° d. 76° 39. What is the value of x? a. b. c. d. a. 13 b. 26 c. 52 d. not enough information 41. Name the smallest angle of ABC. The diagram is not to scale. 68° 62° 112° 124° a. b. c. d. 8 Two angles are the same size and smaller than the third. B A C 42. List the sides in order from shortest to longest. The diagram is not to scale. 43. 44. 45. 46. 47. Find the sum of the measures of the angles of the figure. a. 900 b. 1080 c. 1620 d. 1260 48. What is the sum of the angle measures of a 36-gon? a. LK , LJ , JK b. LJ , LK , JK c. LJ , JK , LK d. LK , JK , LJ Which three lengths CANNOT be the lengths of the sides of a triangle? a. 23 m, 17 m, 14 m b. 11 m, 11 m, 12 m c. 5 m, 7 m, 8 m d. 21 m, 6 m, 10 m Which three lengths could be the lengths of the sides of a triangle? a. 12 cm, 5 cm, 17 cm b. 10 cm, 15 cm, 24 cm c. 9 cm, 22 cm, 11 cm d. 21 cm, 7 cm, 6 cm Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side? a. at least 11 and less than 23 b. at least 11 and at most 23 c. greater than 11 and at most 23 d. greater than 11 and less than 23 Two sides of a triangle have lengths 7 and 15. Which inequalities represent the possible lengths for the third side, x? a. 7 x 15 b. 8 x 15 c. 8 x 7 d. 8 x 22 a. 6480 b. 6300 c. 6840 d. 6120 49. The sum of the angle measures of a polygon with s sides is 2520. Find s. a. 14 b. 16 c. 18 d. 15 50. The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____. n2 a. 180 b. (n 1)180 180 c. n1 d. (n 2)180 51. Complete this statement: A polygon with all sides the same length is said to be ____. a. regular b. equilateral c. equiangular d. convex 9 56. ABCD is a parallelogram. If mCDA 66, then mBCD ? . The diagram is not to scale. 52. What is the measure of one angle in a regular 25-gon? a. 194.4 b. 4140 c. 165.6 d. 82.8 53. Find mA. The diagram is not to scale. a. 66 b. 124 c. 114 d. 132 57. For the parallelogram, if m2 5x 28 and m4 3x 10, find m3. The diagram is not to scale. a. 107 b. 117 c. 63 d. 73 54. How many sides does a regular polygon have if each exterior angle measures 20? a. 17 sides b. 20 sides c. 21 sides d. 18 sides 55. Complete this statement: The sum of the measures of the exterior angles of an n-gon, one at each vertex, is ____. a. (n – 2)180 b. 360 (n 2)180 c. n d. 180n a. 9 b. 17 c. 173 d. 163 58. ABCD is a parallelogram. If mDAB 115, then mBCD ? . The diagram is not to scale. a. b. c. d. 10 125 65 75 115 59. If mB mD 39, find mC so that quadrilateral ABCD is a parallelogram. The diagram is not to scale. 62. Find the values of a and b.The diagram is not to scale. a. b. c. d. a. 39 b. 282 c. 141 d. 78 60. Find the measure of the numbered angles in the rhombus. The diagram is not to scale. 67 36 67 36 ABCD. 63. LM is the midsegment of AB 46 and DC 125. What is LM? a. m1 90, m2 = 41, and m3 41 b. m1 90, m2 = 41, and m3 69.5 c. m1 90, m2 = 49, and m3 41 d. m1 90, m2 = 41, and m3 49 61. In rectangle KLMN, KM = 6x 16 and LN = 49. Find the value of x. a. b. c. d. a 144, b a 144, b a 113, b a 113, b a. b. c. d. 5.5 4.5 33 6.5 11 171 85.5 79 95.5 65. mR 130 and mS 80. Find mT. The diagram is not to scale. 64. Find m 1 and m 3 in the kite. The diagram is not to scale. a. b. c. d. a. b. c. d. 51, 51 39, 39 39, 51 51, 39 65 70 35 80 Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. (Figures are not drawn to scale.) 66. mO 111 a. b. c. d. 67. mP 12 291 69 55.5 222 a. b. c. d. 12 78 39 102 24 Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. 70. Find the measure of BAC. (The figure is not drawn to scale.) 68. a. b. c. d. 13 26 77 38.5 a. 57 b. 28.5 c. 33 d. 114 71. Find x. (The figure is not drawn to scale.) 69. WZ and XR are diameters. Find the measure of ZWX . (The figure is not drawn to scale.) a. b. c. d. 262 226 308 52 a. b. c. d. 13 92 44 23 46 72. mR = 22. Find mO. (The figure is not drawn to scale.) a. b. c. d. 68 22 158 44 73. mDE 128 and mBC 63. Find mA. (The figure is not drawn to scale.) a. 32.5 b. 65 c. 95.5 14 d. 96.5 74. Find the value of x for mAB 46 and mCD 25. (The figure is not drawn to scale.) 76. Find the measure of value of AB for mP 50. (The figure is not drawn to scale.) a. b. c. d. a. 35.5 b. 58.5 c. 71 d. 21 75. Find mD for mB = 53. (The figure is not drawn to scale.) a. b. c. d. 148 63.5 127 74 15 260 100 130 25 ID: A Geometry Analysis Review Answer Section MULTIPLE CHOICE 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. D D B A A A B C C B D A B B D C B D D A D C B A A D B A C C B A B B A C A A 1 ID: A 39. 40. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71. 72. 73. 74. 75. 76. A A C C D B D D A D B D B C D D B C D D C D A A B C B B A C B B C D A A D C 2