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Name: _______________________________________ Date: _________________ Period: ________ Sophomore Geometry 2016 Midyear Exam Review Packet Part I. Fill in the blank. _____1. Two rays that share a common endpoint form a(n) _______________. _____2. A flat surface that extends indefinitely in all directions is a(n) ________________. _____ 3. A triangle with no two congruent sides is classified as _____________________. _____4. Parallel lines have slopes that are ________________________. Part II. True/False _____5. If a line passes through three points, the points must be collinear. _____6. If 2 angles form a linear pair, then the must be supplementary. _____7. The sum of the measures of two complementary angles is 90. _____8. If 2 lines are coplanar, the lines must intersect. _____9. A scalene triangle has two congruent sides. For questions #10 – 17 refer to the adjacent figure: _____10. S lies on XR . _____11. R, T, S, and B are coplanar points. _____12. T, R, and B are collinear points. _____13. RS and TB intersect at X. _____14. SX contains R. _____15. The line that contains points A and T must lie in M. _____16. XR and XB are opposite rays. _____17. X lies between R and S. Page 1 For Questions #18– 28 refer to the figure below. AD DC ; E is the midpoint of AD . Label the figure with this information to help you answer the following. D _____18. AB = BC _____19. ADB is complementary to BDC F _____20. DB AC C E B _____21. DF + FB = DB _____22. ADC is a right angle A _____23. DBA is supplementary to DBC _____24. mDCE + mECA = mDCA _____25. DFE CFB _____26. CE is an angle bisector. _____27. AE = ED _____28. If mA = 38 and EDB ABD then m EDB= 70 For Questions #29 – 34 refer to the adjacent figure. j ║ k _____29. 8 9 _____30. 6 8 12 13 _____31. 1 11 11 j 9 8 10 7 _____32. 5 7 _____33. 3 11 _____34. 13 is supplementary to 3. 2 3 4 5 6 k 1 Page 2 Part III. Fill in the blank with: Always, Sometimes, or Never 35. A bisector of a segment ________________ intersects the segment at its midpoint. 36. If a triangle is scalene, then two of its angles are ________________ congruent. 37. If an angle is acute then its complement is ________________ acute. 38. If a triangle is equilateral, then it is ________________ an acute triangle. 39. A ray _______________ has one endpoint. 40. An isosceles triangle is ___________ equilateral. 41. If two angles are supplementary, then they are ________________ adjacent. 42. The supplement of an acute angle is _______________ obtuse. Part IV. Calculations. 43. Find the distance between the points (-10, 2) and (-7, 6) 50. ________ 44. Find the slope of the line through (-1, 7) and (4, 2) 51. ________ 45. The measures of two supplementary angles are (x - 4) and (2x - 5). Find x. 52. ________ 46. Two angles are both congruent and complementary. Find their measure. 53. ________ 47. The measures of two vertical angles are (3x +11) and (7x – 1). Find x. 54. ________ 48. An angle has measure x. The complement of the angle has a measure of x + 20. Find x. 55. ________ Page 3 49. Line t has an equation of 2x – 5y = 10. Find the slope of the line that is parallel to line t and the line that is perpendicular to line t. 56. ║_______ _______ 50. Solve for x. 57. ________ 7x – 24 5x + 14 51. Solve for x. 58. _______ x+7 112 2x + 15 52. Solve for x. 5x + 2 59. ________ 3x + 8 32 32 A 53. m1 = 35 m2 = 25 Find mABC. 60. ________ 1 B K 2 C 54. Solve for x. j ║ k 61. ________ k 2x - 6 j 92 Page 4 55. Solve for x. 62. ________ x 2x - 12 56. Solve for x. 3x - 8 64. ________ 7x + 3 57. If x = 4 is a ║ b? Explain. 6x - 2 a b 3x + 7 58. Name all of the corresponding parts for the following congruent triangles. (3 pts) ΔBIG ΔDOT ____________ ____________ ____________ ____________ ____________ ____________ For Questions #59 - 60 refer to the figure at the right. 59. If LT LS , name two congruent angles. _______________ 60. If 9 10, name two congruent segments. _________________ Page 5 61. Find each angle if the m 1 is 28 º. (1 pt each angle) 7 6 2 1 m 3 =________ m 5 =________ 3 4 8 5 m 7 =________ m 8 =________ For Questions # 62 – 69 refer to the figure: AB AD ; AB BC ; m1 = 35; m10 = 120 62. m2 = ______ 66. m6 = ______ 63. m3 = ______ 67. m7 = ______ 64. m4 = ______ 68. m8 = ______ 9 D 3 10 4 65. m5 = ______ C 69. m9 = ______ 2 5 6 1 A 7 8 B For Questions #70 – 74 find the missing information. If none, write none. ( ASA, SSS, AAS, SAS, HL or none) 70. BD is an angle bisector AB CB ABD ________ by __________ 71. X is the midpoint of ZM and YP PXM ________ by __________ 72. DW RK KW RW KDW ________ by __________ Page 6 73. AB || CD , E is the midpoint of AD CED ________ by __________ 74. TG bisects FTH and FGH THG ________ by __________ For #75– 76 use the figure to the right. CX bisects AB at X and CD bisects XB at Y. H 75. AX = 3n + 12, XB = 4n – 2 Find the value for n and the measure of AB. n C = ______ Y AB = ______ B X A D 76. XB = 5n - 4, XY = n + 1 Find the value for n and the measure of YB. n = ______ YB = ______ 77. Find the midpoint of the segment connecting (4, 10) and (6, -2) 92. ___________ Page 7