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# Parallel Lines

### Theorems regarding parallel and perpendicular lines.

If two parallel lines are crossed by a transversal, then alternate interior angles are... congruent.
If two parallel lines are crossed by a transversal, then corresponding angles are... congruent.
If two parallel lines are crossed by a transversal, then alternate exterior angles are... congruent.
If two parallel lines are crossed by a transversal, then same side interior angles are... supplementary.
If two parallel lines are crossed by a transversal, then same side exterior angles are... supplementary.
If two lines intersect, then... vertical angles are congruent.
If two lines and a transversal form alternate interior angles that are congruent, then... the lines are parallel.
If two lines and a transversal form alternate exterior angles that are congruent, then... the lines are parallel.
If two lines and a transversal form same side interior angles that are congruent, then... the lines are parallel.
If two lines and a transversal form same side exterior angles that are congruent, then... the lines are parallel.
If two lines and a transversal form corresponding angles that are congruent, then... the lines are parallel.
If two lines are parallel to the same line, then... they are parallel to each other.
In a plane, if two lines are perpendicular to the same line, then... they are parallel to each other.
In a plane, if a line is perpendicular to one of two parallel lines, then... it is perpendicular to the other.
Created by: mburke79