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Accelerated Geometry Midterm Review 12. Name the intersection of plane ABC & EG 1. Name 3 collinear points 13. Name two pairs of opposite rays 14. Are A, C & and G coplanar? 15. Given m ABC = 133°. Find m ABD 2. Define parallel, perpendicular, and skew 3. What is the intersection of 2 planes? 2 lines? 4. Find the midpoint of C(6, 1) and D(-4, -1). 16. HK is an angle bisector. Find m GHJ 5. Name a linear pair and a pair of vertical angles 17. What is the next number in the pattern? 6. What is the supplement and complement of 24°? a) 17, 23, 15, 21, 13, 19 7. Find the midpoint of A(2, -4) and B(7,1). 18. Write the converse, inverse, and contrapositive of: 8. What is the distance of: a) Z(0, 1) & M(7, 1) b) W(5, 3) & (-10, -5) 9. Point B is between A & C. Find AB & BC. Are they congruent? a) AB = x + 3 b) AB = 3x – 7 BC = 2x + 1 BC = 3x – 1 AC = 10 AC = 16 10. Solve for x and y. b) 2, 3, 5, 7, 9, 11, 13 a) If 2 lines intersect, then they form 2 pairs of vertical angles. b) If it is summer then I will go to the beach. 19. Write the statement that follows from the pair of statements. a) If a triangle is equilateral, then it has congruent angles. If a triangle has congruent angles, then it is regular. b) If all sides of a polygon are congruent, then it is equilateral. All sides of polygon A = 5 in. Use for 11 -14 c) If 2 coplanar lines are not parallel, then they intersect. If 2 lines intersect, then they form congruent vertical angles. 20. P & Q are supplementary. If m P is double m Q, find m P and m Q. Name the property. 21. m XYZ = m XYZ 11. Name 3 collinear points 22. If m MNO = m PQR, then m PQR = m MNO 23. If m K = m H & m H = m B, then m K = m B. 41. Are the lines parallel, perpendicular, or equivalent? Use for 27 – 31, use one answer for the next. line 1: 6x – 2y = 1 line 2: x + 3y = 12 42. Are the lines with the given points parallel, perpendicular, or neither? a) line 1: (7,4) & (10,5) line 2: (2, 3) & (8, 5) b) line 1: (-3, 1) & (-2, 5) line 2: (-1, -3) & (5, -2) 27. If m CGF = 158°, m EGD = ? 28. If m EGA = 67°, m FGD = ? 29. If m FGC = 149°, m EGA = ? 43. Write the equation of a line through (4, 7) and m = 2. 44. Write the equation of a line through (1, -2) and parallel to y = -2x – 6. 30. m DGB = ? 45. Write the equation of a line through (-7, 3) and perpendicular to y = x + 3. 31. m FGH = ? 46. a) Find m ADB b) Solve for x Classify the angle pair, use for 32-37 47. Solve for x, then classify by angles. a) 32. 6 & 2 33. 5 & 3 34. 1 & 5 35. 7 & 2 36. 4 & 5 37. 3 & 6 Find m 1 & m 2 38. b) 48. Find the value of x. 39. 49. Are the triangles congruent? Why? a) 40. c) b) 50. Can you use the given information to determine if ∆ABC ≅ ∆DEF. If yes, why? 58. m JKL = 50°. Find LM. a) A ≅ D, AB ≅ DE, B ≅ E b) AB ≅ DE, BC ≅ EF, A ≅ D Solve for x and y 51. 52. List the sides and angles form least to greatest. 59. 60. 53. 61. Can a triangle be formed with sides a) 2, 3, 4 54. Find the perimeter of ∆ABC b) 1, 1, 2 62. What can the 3rd side of a triangle be with sides a) 9, 8 b) 3, 9 Complete with a >, < , or = 63. LN ___ PR 64. VU __ ST 55. Find AB 65. m WYX ___ m WYZ 56. LN is the perpendicular bisector of JK a) Find KN b) Find LJ c) Is P on LN? Use the diagram shown and the given information to decide whether BD is a perpendicular bisector, an angle bisector, a median, or an altitude of ∆ABC. 66. BD AC 57. Find m ABC. 67. ABD ≅ CBD 68. AD ≅ CD 69. BD AC and AD ≅ CD 70. P is the centroid of ∆DEF, FP = 14, RE = 24, PS = 8.5 Proof: a) Find TF Prove: ∆ABD ≅ ∆CBD 73. Given: D is the midpoint of AC b) Find PR c) Find DP d) Find DS 71. Find DB is D is the incenter a) DC = 9 b) ED = 17 DZ = 15 EA = 15 74. Given: ∆ABC is isosceles with base AC, BD bisects B Prove: ∆ABD ≅ ∆CBD 75. Are lines a and b coplanar? 72. Complete the proof. Given: Point C is in the interior of ABD ABD is a right angle. Prove: ABC and CBD are complementary Statements Reasons 1. ABD is a right angle 1. Given 2. m ABD = 90 2. _______ 3. ______________ 3. Given 4. m ABD = 4. _______ m ABC + m CBD 5. m ABC + m CBD = ______ 5. Substitution Property of = 6. _______ 6. Def of complementary angles