Triangle Congruence by ASA and AAS GEOMETRY LESSON 4-3 Pages 197-201 Exercises 1. PQR VXW 2. ACB EFD 3. RS 4. N and O 5. yes 6. not possible 7. yes 8. a. Reflexive b. ASA 9. AAS 10. ASA 11. not possible 12. FDE GHI; DFE HGI 13. a. UWV b. UW c. right d. Reflexive 14. B D 15. MU UN 16. PQ QS 17. WZV WZY 4-3

Triangle Congruence by ASA and AAS GEOMETRY LESSON 4-3 18. a. Vert. are . b. Given c. TQ QR d. AAS 19. PMO NMO; ASA 20. UTS RST; AAS 21. ZVY WVY; AAS 22. TUX DEO; AAS 23. The are not because no sides are . s 24. TXU ODE; ASA 25. The are not because the are not included . 26. Yes; if 2 of a are to 2 of another , then the 3rd are . So, an AAS proof can be rewritten as an ASA proof. 27. a. SRP b. PR c. alt. int. d. PR e. Reflexive 28. a. Given b. Def. of bis. c. Given d. Reflexive Prop. of e. AAS 4-3

Triangle Congruence by ASA and AAS GEOMETRY LESSON 4-3 29. a. Def. of b. All right are . c. QTP STR d. Def. of midpt. e. AAS 30. s 34. Yes; by ASA since BDH FDH by def. of bis. and DH DH by the Reflexive Prop. of . 35. Answers may vary. Sample: 36. a. Check students’ work. b. Answers may vary; most likely ASA. 31. Yes; by AAS since MON QOP. 32. Yes; by AAS since FGJ HJG because when lines are ||, then alt. int. are and GJ GJ by the Reflexive Prop. of . 33. Yes; by ASA, since EAB DBC because || lines have corr. . s 4-3

Triangle Congruence by ASA and AAS GEOMETRY LESSON 4-3 37. AEB CED, BEC DEA, ABC CDA, BAD DCB 38. AEB CED, BEC DEA, ABC CDA, ABD DCA, BAD DCB, ABD DCB, CBA DAB, BCD ADC 39. They are bisectors; ASA. 44. [2] a. RPQ SPQ, RQP SQP (Def. of bisector) b. ASA [1] one part correct 40. 41. 42. D 43. F 13 20 4-3

Triangle Congruence by ASA and AAS GEOMETRY LESSON 4-3 45. [4] a. Def. of midpt. b. Yes; JLM KGM because they are alt. int. of || lines, and LMJ GMK because vertical are . So the are by ASA. c. Yes; if two of one are to 2 of another , the third are . [3] incorrect for part b or c, but otherwise correct [2] correct conclusions but incomplete explanations for parts b and c [1] at least one part correct 46. ONL MLN; SAS 47. not possible 48. AC and CB 49. If corr. are , then the lines are ||. 50. 56 photos 51. 36 photos 52. 60% more paper s s s s s s s s 4-3