1. 3.4 Proving Lines Parallel Converse of 3.3

2. Theorems to find Parallel lines If two lines are cut by a transversal and corresponding angle are congruent, then the lines are parallel. 1 2 k k//l 3 4 5 6 l 7 8

3. Theorems to find Parallel lines If two lines are cut by a transversal and alternate interior angle are congruent, then the lines are parallel. 1 2 k k//l 3 4 5 6 l 7 8

4. Theorems to find Parallel lines If two lines are cut by a transversal and alternate exterior angles are congruent, then the lines are parallel. 1 2 k k//l 3 4 5 6 l 7 8

5. Theorems to find Parallel lines If two lines are cut by a transversal and consecutive interior angle are supplementary, then the lines are parallel. 1 2 k k//l 3 4 5 6 l 7 8

6. Given mp ; mq Prove p // q mp 1 2 q #1. mp; m q #1.Given #2.#2.Perpendicular lines make right angles #3.#3.All right angles are congruent #4. p // q #4.If 2 lines cut by a transverse and Corresponding angles congruent, then the lines are parallel.

7. Given mp ; mq Prove p // q mp 1 2 q #1. mp; m q #1.Given #2.#2.Perpendicular lines make right angles #3.#3.All right angles are congruent #4. p // q #4.If 2 lines cut by a transverse and Corresponding angles congruent, then the lines are parallel.

8. Given mp ; mq Prove p // q mp 1 2 q #1. mp; m q #1.Given #2.#2.Perpendicular lines make right angles #3.#3.All right angles are congruent #4. p // q #4.If 2 lines cut by a transverse and Corresponding angles congruent, then the lines are parallel.

9. Given mp ; mq Prove p // q mp 1 2 q #1. mp; m q #1.Given #2.#2.Perpendicular lines make right angles #3.#3.All right angles are congruent #4. p // q #4.If 2 lines cut by a transverse and Corresponding angles congruent, then the lines are parallel.

10. Given mp ; mq Prove p // q mp 1 2 q #1. mp; m q #1.Given #2.#2.Perpendicular lines make right angles #3.#3.All right angles are congruent #4. p // q #4.If 2 lines cut by a transverse and Corresponding angles congruent, then the lines are parallel.

11. Given mp ; mq Prove p // q mp 1 2 q #1. mp; m q #1.Given #2.#2.Perpendicular lines make right angles #3.#3.All right angles are congruent #4. p // q #4.If 2 lines cut by a transverse and Corresponding angles congruent, then the lines are parallel.

12. Given: Prove: #1. #1.Given #2.#2. Trans #3.#3. If two lines are cut by a transversal and alternate interior angle are congruent, then the lines are parallel.

13. Given: Prove: #1. #1.Given #2.#2. Trans #3.#3. If two lines are cut by a transversal and alternate interior angle are congruent, then the lines are parallel.

14. Given: Prove: #1. #1.Given #2.#2. Trans #3.#3. If two lines are cut by a transversal and alternate interior angle are congruent, then the lines are parallel.

15. Given: Prove: #1. #1.Given #2.#2. Trans #3.#3. If two lines are cut by a transversal and alternate interior angle are congruent, then the lines are parallel.

16. Given: Prove: #1. #1.Given #2.#2. Trans #3.#3. If two lines are cut by a transversal and alternate interior angle are congruent, then the lines are parallel.

17. What value of “x” would make the lines parallel?

18. Is or

19. Homework Page 153 – 156 #10 – 34 even, 38

20. Homework Page 153 – 156 #11 – 37 odd