Triangle Congruence by SSS and SAS GEOMETRY LESSON 4-2 1. SSS 2. cannot be proved 3. SAS 4. SSS 5. Yes; OB OB by Refl. Prop.; BOP BOR since all rt. are ; OP OR (Given); the are by SAS. s Pages 189-192 Exercises 6. Yes; AC DB (Given); AE CE and BE DE (Def. of midpt.); AEB CED (vert. are ) AEB CED by SAS. 7. a. Given b. Reflexive c. JKM d. LMK 8. WV, VU 9. W s 10. U, V 11. WU 12. X 13. XZ, YZ 14. LG MN 15. T V or RS WU 16. DC CB 4-2

Triangle Congruence by SSS and SAS GEOMETRY LESSON 4-2 17. additional information not needed 18. Yes; ACB EFD by SAS. 19. Yes; PVQ STR by SSS. 20. No; need YVW ZVW or YW ZW. 21. Yes; NMO LOM by SAS. 22. ANG RWT; SAS 23. KLJ MON; SSS 24. Not possible; need H P or DY TK. 25. JEF SVF or JEF SFV; SSS 26. BRT BRS; SSS 27. PQR NMO; SAS 28. No; even though the are , the sides may not be. s 29. No; you would need H K or GI JL. 30. yes; SAS 31. 4-2

Triangle Congruence by SSS and SAS GEOMETRY LESSON 4-2 32. 33. a. Vertical are . b. Given c. Def. of midpt. d. Given e. Def. of midpt. f. SAS s 34. Answers may vary. Sample: 35. a–b. Answers may vary. Sample: a. wallpaper designs; ironwork on a bridge; highway warning signs 35. (continued) b. produce a well-balanced, symmetric appearance. In construction, enhance designs. Highway warning signs are more easily identified if they are . 36. ISP PSO; ISP OSP by SAS. 37. IP PO; ISP OSP by SSS. s 4-2

Triangle Congruence by SSS and SAS GEOMETRY LESSON 4-2 38. Yes; ADB CBD by SAS; ADB DBC because if || lines, then alt. int. are . 39. Yes; ABC CDA by SAS; DAC ACB because if || lines, then alt. int. are . 40. No; ABCD could be a square with side 5 and EFGH could be a polygon with side 5 but no rt. . s 41. 1. FG || KL (Given) 2. GFK FKL (If || lines, then alt. int. are .) 3. FG KL (Given) 4. FK FK (Reflexive Prop. of ) 5. FGK KLF (SAS) s 42. AE and BD bisect each other, so AC CE and BC CD. ACB DCE  because vert. are . ACB ECD by SAS. s 4-2

Triangle Congruence by SSS and SAS GEOMETRY LESSON 4-2 43. 44. AM MB because M is the midpt. of AB. B AMC because all right are . CM DB is given. AMC MBD by SAS. s 45. D 46. G 47. C 48. [2] a. AB AB; Reflexive Prop. of b. No; AB is not a corr. side. [1] one part correct 49. E 50. AB 51. FG 52. C 53. The product of the slopes of two lines is –1 if and only if the lines are . 54. If x = 2, then 2x = 4. If 2x = 4, then x = 2. 55. If 2x = 6, then x = 3. The statement and the converse are both true. 4-2

Triangle Congruence by SSS and SAS GEOMETRY LESSON 4-2 56. If x2 = 9, then x = 3. The statement is true but the converse is false. 4-2