# Parallel line proofs

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##### Introduction
###### Lessons
1. Relationships between lines and angles
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##### Examples
###### Lessons
1. What is the value of x if $\overline {AB}$ $\parallel$ $\overline {CD}$ ?

2. Determine if enough information is given to prove $p \parallel$ $q$ State the postulates or theorems you use in your answers.

3. Prove that if two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel. (Prove the Alternate Exterior Angles converse)
1. Write a two-column proof.
1. Given: $m \parallel$ $n$, $\angle 1$ $\cong$$\angle 2$
Prove: $s \parallel$ $t$

2. Given: $\angle 1$ $\cong$$\angle 2$, $\angle 1$ $\cong$$\angle 3$
Prove: $\overline {AB}$ $\parallel$ $\overline {CD}$

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