3.4 Proving Lines Parallel Converse of 3.3. Theorems to find Parallel lines If two lines are cut by a transversal and corresponding angle are congruent,

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3.4 Proving Lines Parallel Converse of 3.3

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 l 7 8

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 l 7 8

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 l 7 8

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 l 7 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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

Is or

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

Homework Page 153 – 156 #11 – 37 odd

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