NAME ______________________________________________ DATE Chapter 5 Test, Form 2A SCORE _____ Write the letter for the correct answer in the blank at the right of each question. For Questions 1–4, refer to the figure. 1. Name an angle bisector. A. K I B. GL C. JM H D. HJ H. JM 3. Name an altitude. A. K I B. GL C. JM 4. Name a perpendicular bisector. F. K I G. GL H. JM J. HJ 2. 3. D. HJ 4. J. HJ 6. YW is an altitude. F. YWZ is a right angle. G. XYW ZYW H. XW WZ J. XY ZY 7. YW is a median. A. YWZ is a right angle. B. XYW ZYW C. XW WZ D. XY ZY 8. Name the longest side of ABC. F. AB G. B C G M For Questions 5–7, refer to the figure to determine which is a true statement for the given information. 5. Y W is an angle bisector. A. YWZ is a right angle. C. XW WZ B. XYW ZYW D. XY ZY Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. J I 2. Name a median. F. K I G. GL 1. K L X Y W 5. Z 6. 7. B H. A C J. cannot tell 9. Name the angle with greatest measure in DEF. A. D C. F B. E D. cannot tell 8. 74 22 A 84 C 9. F 9 7 E 3 D 10. Which theorem compares the sides of the same triangle? 10. F. SAS Inequality Theorem. H. Exterior Angle Inequality Theorem G. SSS Inequality Theorem J. Triangle Inequality Theorem 11. Tisha wants to plant a garden in the widest corner of her triangular backyard. The backyard is bordered by the back of the house that is 50 feet long, fence A that is 27 feet long, and fence B that is 35 feet long. Which corner has the widest measure? A. corner between fences A and B B. All three corners have the same measure C. corner between the back of the house and fence A D. corner between the back of the house and fence B. Chapter 5 51 11. Glencoe Geometry Assessment 5 ____________ PERIOD _____ NAME ______________________________________________ DATE 5 Chapter 5 Test, Form 2A 12. Find the possible values for m1. F. 90 m1 74 G. 180 m1 74 13. Find x. A. 9 B. 11 ____________ PERIOD _____ (continued) 12. H. 0 m1 74 J. m1 106 1 74 13. x2 C C. 27 D. 32 B x7 D A 27 F E 14. Which is another name for an indirect proof? F. proof by deduction H. proof by inverse G. proof by converse J. proof by contradiction 14. 15. Choose the assumption you would make to start an indirect proof of x 2. A. x 2 B. x 2 C. x 2 D. x 2 15. 16. Choose the assumption you would make to start an indirect proof. Given: 1 is an exterior angle of ABC. Prove: m1 mB mC 16. 17. Which of the following sets of numbers can be the lengths of the sides of a triangle? A. 6, 6, 12 B. 6, 7, 13 C. 2, 5 , 15 D. 2.6, 8.1, 10.2 17. 18. What is the relationship between the lengths of QS and RS? F. QS RS H. QS RS G. QS RS J. cannot tell 18. 19. What is the relationship between the lengths of DC and AD? A. DC AD C. DC AD B. DC AD D. cannot tell 20. What is the relationship between the measures of 1 and 2? F. m1 m2 H. m1 m2 G. m1 m2 J. cannot tell Bonus Y W bisects XYZ in XYZ. Point W is on XZ . If mXYW 2x 18 and mZYW x2 5x, find x. Chapter 5 52 R T Q S 19. A D 10 20 30 10 B C 20. 15 8 1 13 2 8 B: Glencoe Geometry Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. F. 1 is not an exterior angle of ABE. G. 1 is an interior angle of ABC. H. m1 mB mC J. m1 mB Chapter 5 Assessment Answer Key Form 2A Page 51 12. 1. Form 2B Page 53 Page 52 G B 1. C 2. J Page 54 11. C 12. J 13. B 14. G 15. A 16. J 17. C 18. G 13. A 2. J 3. A 4. H 5. B 6. 7. 14. 15. B 16. H 3. B 4. F 5. A F C 9. A 10. J 11. A 19. 20. B: Chapter 5 H 7. D D F 18. 6. Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. 17. 8. J H 8. G 9. C 19. A 10. F 20. H B H 9, ⫺2 B: A22 160 Glencoe Geometry