Alternative Interiorior and Exterior Theorums:
This states that so long as there are two parallel lines that are split by a transversal then the Alternate interior angles of those two parallel lines are congruent to each other. The same is true for Alternate exterior angles
Corresponding angles Postulate:
This one states that corresponding angles are congruent, so long as they are on two parrallel lines that are split by a transversal. At right is a picture showing two corresponding angles that are congruent.

Consecutive Interior Angles Theorem:
Consecutive Interior angles are supplementary so long as they are on two parellel li

Perpendicular transversal theorem:
States that if a transversal is perpendicular to one of two parallel lines then it is perpendicular to the other one. example shown below

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