Geometry 1st semester Exam review game questions

Class: Date: Geometry 1st semester Exam review game questions Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Name the Property of Equality that justifies this statement: If r = s, then r t = s t. a. Multiplication Property b. Symmetric Property c. Transitive Property d. Subtraction Property 2. Use the Law of Syllogism to draw a conclusion from the two given statements. If two lines intersect and form right angles, then the lines are perpendicular. If two lines are perpendicular, then they intersect and form 90 angles. a. The lines intersect and form 90 angles. b. If two lines do not intersect and form 90 angles, then they do not form right angles. c. The lines are perpendicular. d. If two lines intersect and form right angles, then they intersect and form 90 angles. 3. Identify the hypothesis and conclusion of this conditional statement: If tomorrow is Monday, then yesterday was Saturday. a. Hypothesis: Tomorrow is Monday. Conclusion: Yesterday was Saturday. b. Hypothesis: Yesterday was Saturday. Conclusion: Tomorrow is Monday. c. Hypothesis: Tomorrow is Monday. Conclusion: Yesterday was not Saturday. d. Hypothesis: Yesterday was not Saturday. Conclusion: Tomorrow is Monday. 4. PMN? 5. What is the value of x? a. 74 b. 19 c. 106 d. 19 6. Find the value of x. The diagram is not to scale. a. CAB b. ACB c. CBA d. ABC a. 139 b. 123 c. 41 d. 57 1

7. Use the Law of Detachment to draw a conclusion from the two given statements. If two angles are complementary, then the sum of their measures is 90. R and S are complementary. a. R is congruent to S. b. m R + m S = 180 c. m R + m S = 90 d. m R m S 8. What is the intersection of plane TUYX and plane VUYZ? Use the diagram to find the following. a. UY b. SW c. TX d. VZ 9. Identify a pair of same-side interior angles. a. 1 and 7 b. 2 and 5 c. 3 and 8 d. 8 and 7 10. What are three pairs of corresponding angles? a. angles 1 & 7, 8 & 6, and 2 & 4 b. angles 3 & 4, 7 & 8, and 1 & 6 c. angles 1 & 2, 3 & 8, and 4 & 7 d. angles 1 & 7, 2 & 4, and 6 & 7 Use the given property to complete the statement. 11. Transitive Property of Congruence If XY ZV and ZV UV, then. a. XY UV b. XY ZV c. ZV ZV d. ZV UV 13. Division Property of Equality If 6x 2 = 12, then. a. 12 = 6x 2 b. 6x = 6 c. 6x 2 = 6 d. 12 = 6x 2 12. Substitution Property of Equality If y = 1 and 3x + y = 11, then. a. 3(1) y = 11 b. 3x 1 = 11 c. 1 y = 11 d. 3x + 1 = 11 2

14. Name an angle vertical to HGJ. 17. What are the names of three collinear points? a. FGI b. HGE c. JGF d. FGD 15. If T is the midpoint of SU, what are ST, TU, and SU? a. Points C, M, and B are collinear. b. Points P, M, and N are collinear. c. Points C, M, and N are collinear. d. Points A, M, and B are collinear. 18. What is the slope of the line shown? a. ST = 9, TU = 36, and SU = 72 b. ST = 36, TU = 36, and SU = 72 c. ST = 50, TU = 50, and SU = 100 d. ST = 12, TU = 12, and SU = 24 16. What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate? a. 5 b. 1 9 c. 1 8 d. 8 19. Given QRS TUV, QS = 4v + 1, and TV = 5v 9, find the length of QS and TV. a. 41 b. 59 c. 10 d. 42 a. AB AD b. CBA CDA c. AB AD d. BAC DAC 3

Use the number line to find the measure. 20. MK a. 2 b. 1 c. 4 d. 3 22. Find the values of x and y. 21. Which triangles are congruent by ASA? a. x = 128, y = 52 b. x = 13, y = 27 c. x = 27, y = 13 d. x = 52, y = 128 23. Which point is the midpoint of AE? a. 1.5 b. 0.5 c. 1 d. 2.5 24. Name an angle adjacent to EGH. a. VTU and HGF b. HGF and TVU c. VTU and ABC d. none a. DGF b. EGD c. JGI d. IGF 4

25. Name the ray in the figure. a. AB b. AB c. BA d. AB 26. Which point is the midpoint of AE? a. C b. not B, C, or D c. B d. D 27. If Z is the midpoint of RT, what are x, RZ, and RT? a. x = 10, RZ = 48, and RT = 96 b. x = 8, RZ = 96, and RT = 48 c. x = 6, RZ = 32, and RT = 64 d. x = 8, RZ = 48, and RT = 96 In the figure, GK bisects FGH. 28. If m FGK = 8v 2 and m KGH = 3v + 8, find x. a. 16 b. 28 c. 2 d. 14 29. Find the value of x. The diagram is not to scale. 30. Complete the two-column proof. Given: 9x 5y = 4; x = 2 Prove: 14 5 = y 9x 5y = 4; x = 2 a. 18 5y = 4 b. 5y = 14 y = 14 5 c. d. 14 = y e. 5 a. a. Given b. Symmetric Property of Equality c. Subtraction Property of Equality d. Division Property of Equality e. Reflexive Property of Equality b. a. Given b. Substitution Property c. Subtraction Property of Equality d. Addition Property of Equality e. Symmetric Property of Equality c. a. Given b. Substitution Property c. Subtraction Property of Equality d. Division Property of Equality e. Reflexive Property of Equality d. a. Given b. Substitution Property c. Subtraction Property of Equality d. Division Property of Equality e. Symmetric Property of Equality 31. Name the Property of Congruence that justifies the statement: If XY WX, then WX XY. a. Transitive Property b. Symmetric Property c. Reflexive Property d. none of these a. 75 b. 155 c. 40 d. 140 5

32. What is the value of x? a. 144 b. 72 c. 67 d. 134 Determine whether WX and YZ 33. WÊ Ë Á 6, 0 ˆ, X Ê Ë Á0, 1ˆ, Y Ê Ë Á2, 1ˆ, Z Ê Ë Á 0, 8 ˆ a. neither b. perpendicular c. parallel are parallel, perpendicular, or neither. 34. What is the converse of the following conditional? If a number is divisible by 6, then it is divisible by 2. a. If a number is divisible by 6, then it is divisible by 2. b. If a number is not divisible by 6, then the number is not divisible by 2. c. If a number is not divisible by 2, then it is not divisible by 6. d. If a number is divisible by 2, then it is divisible by 6. 35. If m AOC = 31, m BOC = 2x + 10, and m AOB = 4x 15, find the degree measure of BOC and AOB. The diagram is not to scale. 36. Which lines are parallel if m 2 = m 8? Justify your answer. a. m BOC = 12 ; m AOB = 19 b. m BOC = 9 ; m AOB = 22 c. m BOC = 22 ; m AOB = 9 d. m BOC = 19 ; m AOB = 12 a. r Ä s, by the Converse of the Same-Side Interior Angles Theorem b. l Ä m, by the Converse of the Same-Side Interior Angles Theorem c. l Ä m, by the Converse of the Alternate Interior Angles Theorem d. r Ä s, by the Converse of the Alternate Interior Angles Theorem 6

37. 1 and 2 are supplementary angles. m 1 = x 26, and m 2 = x + 84. Find the measure of each angle. a. 1 = 61, 2 = 119 b. 1 = 61, 2 = 129 c. 1 = 35, 2 = 155 d. 1 = 35, 2 = 145 39. Name the angle included by the sides MP and PN. Use the Distance Formula to find the distance between each pair of points. 38. a. M b. N c. P d. none of these a. 53 b. 45 c. 4.5 d. 7 40. Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Driving is difficult if the weather is stormy. Driving is difficult. a. If driving is difficult, then the weather is stormy. b. The weather is not stormy. c. The weather is stormy. d. not possible 41. Name the intersection of plane BPQ and plane CPQ. a. BP b. PQ c. CQ d. The planes need not intersect. 42. Name the Property of Congruence that justifies this statement: If J K and K L, then J L. a. Transitive Property b. Symmetric Property c. Reflexive Property d. none of these 7

43. What are the names of four coplanar points? 46. Find the value of k. The diagram is not to scale. a. 106 b. 22 c. 74 d. 116 47. Name an angle complementary to DOC. a. Points F, D, P, and N are coplanar. b. Points P, M, D, and C are coplanar. c. Points P, M, N, and C are coplanar. d. Points P, M, F, and C are coplanar. 44. What is the name of the ray that is opposite OM? a. AOC b. EOD c. EOA d. COB a. NM b. OP c. OM d. PM 45. DFG and JKL are complementary angles. m DFG = x + 7, and m JKL = x 9. Find the measure of each angle. a. DFG = 46, JKL = 44 b. DFG = 53, JKL = 47 c. DFG = 46, JKL = 54 d. DFG = 53, JKL = 37 48. 1 and 2 are a linear pair. m 1 = x 21, and m 2 = x + 87. Find the measure of each angle. a. 1 = 57, 2 = 133 b. 1 = 36, 2 = 154 c. 1 = 57, 2 = 123 d. 1 = 36, 2 = 144 49. If BCDE is congruent to OPQR, then DE is congruent to?. a. OR b. OP c. PQ d. QR 8

50. Complete the statement. The drawing is not to scale. If m DGF =72º, then m DEF =?. a. 72º b. 36º c. 54º d. none of these 9

Geometry 1st semester Exam review game questions Answer Section MULTIPLE CHOICE 1. A 2. D 3. A 4. A 5. D 6. C 7. C 8. A 9. D 10. A 11. A 12. D 13. B 14. D 15. B 16. C 17. B 18. C 19. A 20. C 21. A 22. C 23. B 24. B 25. D 26. D 27. D 28. D 29. C 30. D 31. B 32. C 33. A 34. D 35. C 36. C 37. D 38. A 39. C 1

40. D 41. B 42. A 43. C 44. B 45. D 46. C 47. D 48. D 49. D 50. A 2