12. Conv. of corr. s post. 14. Both angles = 124°, Conv. of corr

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Presentation transcript:

12. Conv. of corr. s post. 14. Both angles = 124°, Conv. of corr 12. Conv. of corr. s post 14. Both angles = 124°, Conv. of corr. s post 16. Conv. of alt. int. s thm 18. Conv. of same-side int. s thm 20. Both angles = 103°, Conv. of alt. int. s post 24. Conv. of corr. s post 26. Conv. of alt. int. s thm 28. Conv. of alt. int. s thm 30. L // M, Conv. of alt. int. s thm 32. L // N, Conv. of alt. ext. s thm 34. L // N, Conv. of alt. int. s thm 40. Corresponding angles are same (123°) so plumb line and wall are parallel, which makes the wall perfectly vertical. 46. Q // R, Conv. of alt. ext. s thm 47. None // 48. S // T, Conv. of corr. s post 49. Q // R, Conv. of alt. int. s thm 50. None // 51. S // T, Conv. of alt. ext. s thm 52. S // T, Conv. of same-side int. s thm 53. None //

Example 3A: Given: p || r , 1  3 Prove: ℓ || m Statements Reasons 1. p || r 1. Given 2. 3  2 2. Alt. Ext. s Thm. 3. 1  3 3. Given 4. 1  2 4. Trans. Prop. of  5. ℓ ||m 5. Conv. of Corr. s Post.

8. Conv. of Same-Side Interior s Post. Example 3B Given: 1  4, 3 and 4 are supplementary. Prove: ℓ || m Statements Reasons 1. 1  4 1. Given 2. m1 = m4 2. Def.  s 3. 3 and 4 are supp. 3. Given 4. m3 + m4 = 180 4. Def. of supp. angles 5. m3 + m1 = 180 5. Substitution 6. m2 = m3 6. Vert.s Thm. 7. m2 + m1 = 180 7. Substitution 8. ℓ || m 8. Conv. of Same-Side Interior s Post.