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Corresponding Angles Postulate

The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .

So, in the figure below, if l m , then 1 2 .

Two parallel lines cut by a transversal n, with angles labeled 1 through 8

The converse is also true; that is, if two lines l and m are cut by a transversal in such a way that the corresponding angles formed are congruent , then l m .