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Geometry Unit 5 Test Review Show all work on a separate sheet of work paper. Follow the criteria for credit. Competency 1: Identify Congruence (HSMS 4.1.08) For questions 1 – 5, decide which congruence postulate, if any, you can use to prove that the given triangles are congruent. Write the congruence statement and identify the postulate. M 5. 6cm 6cm N 1. D A Competency 2: Congruence of Triangles (HSMS 4.1.08, 5.2.05) 6. B E C P O Given the diagram below: N F R O 2. N M P R Which corresponding parts need to be congruent in order to prove ROP NOM by ASA? M S T a. MO PO O b. N R c. 3. A P 3 d. NO RO B 2 3 NOM ROP 7. Given the following diagram. C Q 2 R 4. Which corresponding parts need to be congruent in order to prove WXZ WYZ by SAS? A D a. WZ WZ C b. WZY WZX B c. E X Y d. XWZ YWZ Created 6/2010 Page 1 of 5 Geometry 8. Unit 5 Given the diagram below. Competency 3: Completing Proofs (HSMS 4.1.08, 5.2.06, 5.2.12, 5.2.13) C D Test Review Given: AB DE, AB || DE 10. B Prove: ∆ABC ∆DEC E E If E B , which congruence postulate/theorem justifies ABC DEF ? C D d. AAS B Statement 1. AB DE AB || DE 2. A D B E 3. ABC DEC e. HL What is the missing reason in the above proof? a. SSS b. SAS c. ASA 9. A A F Given the diagram below. 11. Z Reason 1. Given 2. 3. ASA Given: XY XZ, XW YZ Prove: 1 2 X X Y V 1 2 W Y If VY XY , which congruence postulate/theorem justifies VYZ XYE ? Statement 1. XY XZ XW YZ 2. 3 4 a. SSS b. SAS c. ASA d. AAS 3. e. HL 4. XWY, XWZ are right s 5. XWY XWZ 6. 1 2 3 4 W Z Reason 1. Given 2. If 2 lines are , they form right angles 3. Reflexive Property 4.Definition of a right 5. HL Theorem 6. CPCTC What is the missing statement in the above proof? Created 6/2010 Page 2 of 5 Geometry 12. Unit 5 Given: AB II DC and ADB CBD Prove: ADB CBD Test Review 13. Given: VW VY and V is the midpoint of XZ . Prove: VWZ VYX D C W V A X B Z Statements 1. DBA BDC Reasons 1. If lines are parallel, then alternate interior angles are 2. ADB CBD 3. AB II DC 2. ASA 3. Given 4. DB DB 4. Reflexive Property 5. ADB CBD 5. Given Which of the following choices puts the statements and reasons in a correct order? Statements 1. V is the midpoint of XZ Y Reasons 1. Given 2. VWZ VYX 3. VZ VX 2. SAS 3. Definition of Midpoint 4. WVZ YVX 4. Definition of Vertical angles 5. VW VY 5. Given Which of the following choices puts the statements and reasons in a correct order? a. 2, 4, 1, 5, 3 b. 2, 4, 3, 1, 5 a. 5, 1, 3, 4, 2 c. 3, 5, 1, 4, 2 b. 3, 4, 5, 1, 2 d. 3, 5, 4, 2, 1 c. 3, 4, 1, 5, 2 d. 5, 4, 3, 1, 2 Created 6/2010 Page 3 of 5 Geometry 14. Unit 5 Given: S is the midpoint of TV and TR VR Test Review 17. Given the diagram below: J Prove: ∆RST ∆RSV D R E T Statements Reasons 1. S is the midpoint of TV 1. Given 2. TR VR 2. Given 3. RS SR 3. Reflexive Property 4. VS TS 4. Definition of Midpoint 5. ∆RST ∆RSV 5. SAS F 18. Write the equation of a line that has a yintercept of –3 and is parallel to the 2 graph of y x . 3 19. Is the following argument valid or invalid? If it’s invalid, provide a counterexample. Which reason in the above proof is incorrect and what is the correct reason? Competency 4: Geometry Distributed Practice 15. Given the diagram below and a b If today is Friday, I’m eating fish for dinner. Today is Friday the 13th. Therefore, tonight I’m eating fish for dinner. Competency 5: Algebra Distributed Practice Factor: If the m1 3x 60 and m2 6x 30 , then what is the m1 and m2? 16. 20. x2 + 8x + 15 21. 2x2 + 7x + 3 22. x2 – 25 Solve for x: What is the slope of the line perpendicular to the graph of 3x + 2y = 8? Created 6/2010 H What two lines are skew to DG ? V S G K I Page 4 of 5 23. x2 – 16 = 0 24. x2 – 5x – 6 = 0 Geometry Unit 5 Answers: ABC DFE 1. ASA RST MNO 2. SSS PQR BAC 3. SAS 4. Not Possible MNO MPO 5. HL 6. B 7. C 8. D 9. B 10. Alternate Interior Angles are congruent 11. WX WX 12. C 13. A 14. #5, SSS 15. m1 150, m2 150 16. m 17. Two answers 2 3 JK , IH , KE , FH 2 x 3 3 18. y 19. Valid 20. x 5 x 3 21. 2x 1 x 3 22. x 5 x 5 23. x = 4, x = -4 24. x = 6, x = -1 Created 6/2010 Page 5 of 5 Test Review