Parallel line proofs

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Lessons

Relationships between lines and angles

Examples

Lessons

What is the value of x if $\overline {AB}$ $\overline{A B}$ $\parallel$ $∥$ $\overline {CD}$ $\overline{C D}$ ?
Determine if enough information is given to prove $p \parallel$ $p ∥$ $q$ $q$ State the postulates or theorems you use in your answers.
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)
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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