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Corresponding angles

Consecutive interior angles

Corresponding angles converse theorem
If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel.
Alternate interior angles converse
if two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.
Alternate exterior angles converse theorems
if two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.
Consecutive interior angles converse theorem
if two lines are cut by a transversal so that the consecutive interior angles are supplementary, then the lines are parallel.