1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3. a cm b cm c cm d. 21.


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1 FALL SEMESTER EXAM REVIEW (Chapters 16) CHAPTER 1 1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d Find the length of PQ. a cm b cm c cm d cm Use the figure below to answer the next two (2) questions. 3. Which three points in the figure are collinear? a. A, B, D b. A, B, C c. E, C, A d. F, E, G 4. Name the intersection of the plane P and the plane that contains points B, C, and D. a. point B b. c. BD d. triangle BCD 5. Find y if B is between A and C, AB is 2y, BC is 6y, and AC is 48. a. 24 b. 8 c. 6 d Find the distance between P(2, 8) and Q(5, 3). a. 9 b. c. d. 7. Find the coordinates of the midpoint of LB if L(8, 5) and B( 6, 2). a. b. c. d. 8. What type of angle is ABC?
2 a. acute angle b. obtuse angle c. right angle d. straight angle Use the figure below to answer the next three (3) questions. 9. Find m FBD if FBD and DBE are complementary and m FBD is twice m DBE. a. 30 b. 45 c. 60 d Which pair of angles are supplementary? a. ABE, CBD b. ABC, ABD c. ABC, CBD d. ABC, EBD 11. Which angle is a vertical angle to ABE? a. DBE b. CBD c. ABC d. EBA 12. Which describes this figure? a. hexagon, concave, not regular c. hexagon, convex, not regular b. pentagon, concave, regular d. not a polygon CHAPTER Make a conjecture about the next object in this sequence. a. b. c. d. 14. Given: is a positive number. Conjecture: n is a negative number. Which of the following would be a counterexample? a. 10 b. 4 c. 1 d. 10
3 15. If p is true and q is false, what is the truth value of p and q? a. true b. false c. 0 d. 1 Use the truth table for the next two (2) questions. p q q p q T T T F F T F F 16. Which would be the values in the q column? a. F F T T b. T T F F c. F T F T d. T F T F 17. Which would be the values in the p q column? a. F T F F b. F T T F c. T T F T d. T F T T 18. How would you write the statement All dogs have four feet in ifthen form? a. If it is a dog, then it has four feet. c. If all dogs, then has four feet. b. If it has four feet, then it is a dog. d. All fourfooted animals are dogs. 19. Identify the conclusion of the statement Jack will go to school if today is Monday. a. Jack will go to school c. today is Monday b. Jack will not go to school d. today is not Monday 20. Choose the property that justifies the following statement. If x 2 and x y 3, then 2 y 3. a. Reflexive b. Symmetric c. Transitive d. Substitution 21. Choose the property that justifies the statement m A m A. a. Reflexive b. Symmetric c. Transitive d. Substitution 22. Choose the property that justifies the statement If GH FD, then FD GH. a. Reflexive c. Transitive b. Symmetric d. Definition of congruent segments 23. If XY 6, YZ 4, and XZ 2, which point is between the other two? a. X b. Y c. Z d. cannot tell Use the figure to answer the next two (2) questions. 24. If m BFC 70, find m EFD. a. 10 c. 35 b. 20 d If m AFB 5x 10 and m BFC 3x 20, find x.
4 a. 10 c b. 15 d CHAPTER Determine the slope of the line that contains the points P( 6, 3), Q(12, 9). a. 3 b. c. d What is the slope of a line parallel to the line containing ( 6, 6) and (9, 14)? a. b. c. d. undefined 28. Find the slope of a line perpendicular to the line containing ( 8, 10) and (0, 9). a. 8 b. c. d. 8 Refer to the figure to answer the next two (2) questions. 29. Identify the plane parallel to plane PQT. a. plane PQS b. plane PTS c. plane RSV d. plane TUW 30. Which segment is skew to RV? a. RS b. RQ c. SW d. SP Use the figure below to answer the next eight (8) questions. 31. Determine the special name for 3 and 10. a. alternate exterior c. consecutive interior b. alternate interior d. corresponding 32. Determine the special name for 9 and 13. a. alternate exterior c. consecutive interior b. alternate interior d. corresponding 33. Given p q and m 3 75, find m 5. a. 15 b. 75 c. 105 d. 120
5 34. Given p q and m 10 3x 7 and m 13 4x 9, find x. a. 2 b. 2 c. 16 d Given 1 5, which postulate or theorem justifies that p q? a. Corresponding Angles Postulate b. Consecutive Interior Angles Theorem c. Alternate Exterior Angles Theorem d. Alternate Interior Angles Theorem 36. If 12 14, which postulate or theorem justifies that p q? a. Corresponding Angles Postulate b. Consecutive Interior Angles Theorem c. Alternate Exterior Angles Theorem d. Alternate Interior Angles Theorem 37. If p q by the Consecutive Interior Angles Theorem, which angle pair must be supplementary? a. 3 and 10 c. 8 and 13 b. 3 and 8 d. 15 and If m 4 7x 20 and m 8 5x 18, find x so that p q. a. 19 c. 1 b. 1 d. 19 CHAPTER What is the length of the sides of this equilateral triangle? a. 42 b. 30 c. 15 d. 12 Use the figure below to answer the next two (2) questions. 40. What is m 1? a. 40 b. 50 c. 70 d What is m 3? a. 40 b. 70 c. 90 d If DJL EGS, which segment in EGS corresponds to DL? a. EG b. ES c. GS d. GE 43. Which triangles are congruent in the figure?
6 a. KLJ MNL c. JKL LMN b. JLK NLM d. JKL MNL 44. If ABC is isosceles and AE FC, which theorem or postulate can be used to prove AEB CFB? a. SSS b. SAS c. ASA d. AAS CHAPTER What is the relationship between the lengths of DC and AD? a. DC AD b. DC AD c. DC AD d. cannot tell For the next three (3) question refer to the figure to determine which is a TRUE statement for the given information. 46. YW is an angle bisector. a. YWZ is a right angle. c. XW WZ b. XYW ZYW d. XY ZY 47. YW is an altitude. a. YWZ is a right angle. c. XW WZ b. XYW ZYW d. XY ZY 48. YW is a median. a. YWZ is a right angle. c. XW WZ b. XYW ZYW d. XY ZY 49. What is the relationship between the measures of 1 and 2? a. m 1 m 2 b. m 1 m 2 c. m 1 m 2 d. cannot tell
7 CHAPTER Find the sum of the measures of the interior angles of a convex 45gon. a b c. 360 d Find x. a. 30 b. 66 c. 102 d Find the sum of the measures of the exterior angles of a convex 39gon. a. 39 b. 90 c. 180 d Which of the following is a property of a parallelogram? a. Each pair of opposite sides is congruent. b. Only one pair of opposite angles is congruent. c. Each pair of opposite angles is supplementary. d. There are four right angles. 54. For parallelogram ABCD, find m 1. a. 60 b. 54 c. 36 d ABCD is a parallelogram with diagonals intersecting at E. If AE 3x 12 and EC 27, find x. a. 5 b. 17 c. 27 d ABCD is a rectangle. If AC 5x 2 and BD x 22, find x. a. 5 b. 6 c. 11 d Which of the following is true for all rectangles? a. The diagonals are perpendicular. c. The consecutive sides are congruent. b. The diagonals bisect the angles. d. The consecutive sides are perpendicular. 58. For rhombus GHJK, find m 1. a. 22 b. 44 c. 68 d The diagonals of square ABCD intersect at E. If AE 2x 6 and BD 6x 10, find AC. a. 11 b. 28 c. 56 d The length of one base of a trapezoid is 19 inches and the length of the median is 16 inches. Find the length of the other base. a. 35 in. b. 19 in. c in. d. 13 in. 61. In parallelogram ABCD, AB = 11, BC = 13, CD = 3x + 5y and DA = 3x + y. Find x and y.
8 a. x = 3, y = 4 b. x = 4, y = 3 c. x = 7, y = 8 d. x = 8, y = Which figure can serve as a counterexample to the conjecture below? Conjecture: If the diagonals of quadrilateral bisect each other, then the quadrilateral is a square. a. rhombus c. parallelogram b. rectangle d. isosceles trapezoid True/False: Indicate whether the statement is true or false. If false, correct the statement so it is true. 63. A rectangle is always a parallelogram 64. The diagonals of a rhomus are always perpendicular. 65. A trapezoid always has two congruent sides. 66. A parallelogram always has four right angles. 67. The diagonals of a rhombus always bisect the angles. 68. A rhombus is always a square. 69. The median of a trapezoid always bisects the angles. PROOFS: Complete the proofs by supplying the missing information. 70. If 1 24, then x 15. Statements Reasons Given 2. Subtraction Property 3. Substitution 4. 4._ 5. x Substitution 71. Given: BD bisects ABC. 1 and 3 are complementary.
9 2 and 4 are complementary. Prove: 1 2 Statements Reasons 1. BD bisects ABC 1. Given 2. 1 and 3 are 2. Given complementary and 4 are 3. Given complementary Given: AB BD EFG and CBD are complementary. Explain why EFG ABC Given: ABC is an isosceles triangle with base AC. D is the midpoint of AC. Explain why BD bisects ABC Given: K is the midpoint of AB. m MKB m MKA Explain why MB AM.
10 . 75. Given: RSM SMU Explain why. K P R L Q N S M U T.
11 FALL SEMESTER EXAM REVIEW (Chapters 16) Answer Section MULTIPLE CHOICE 1. B 2. C 3. D 4. B 5. C 6. C 7. A 8. B 9. C 10. C 11. B 12. A 13. B 14. D 15. B 16. C 17. A 18. A 19. A 20. D 21. A 22. B 23. C 24. B 25. C 26. C 27. B 28. D 29. C 30. D 31. C 32. D 33. B 34. D 35. A 36. C 37. B 38. D 39. C 40. A
12 41. D 42. B 43. D 44. B 45. B 46. B 47. A 48. C 49. C 50. B 51. B 52. D 53. A 54. C 55. A 56. A 57. D 58. C 59. C 60. D 61. A 62. D TRUE/FALSE 63. T 64. T 65. F 66. F 67. T 68. F 69. F SHORT ANSWER 70. Multiplication Property 71. Def. of Ð biscetor Complements of cong. angles are comgruent 72. Addition Postulate Complements of the same angle are. 73. Isosceles Triangle Theorem SAS 74. Midpoint Theorem Reflexive Prop SAS Inequality
13 75. Definition of Corresponding Angles If Corr. Angles are Congruent, then lines are parallel
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