Parallel Line Theorems
Parallels:Corresponding Angles=
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Corresponding Angles Converse=
If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
Alternate Interior Angles=
If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
Alternate Exterior Angles=
If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.
Interior Angles on Same Side=
If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
Alternate Interior Angles Converse=
If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel.
Alternate Exterior Angles Converse=
If two lines are cut by a transversal and the alternate exterior angles are congruent, the lines are parallel.
Interiors on Same Side Converse=
If two lines are cut by a transversal and the interior angles on the same side of the transversal are supplementary, the lines are parallel.
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