Proving Lines are Parallel

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Presentation transcript:

Proving Lines are Parallel Lesson 3.3

Converse of the Corresponding Angles Postulate If two lines are cut by a transversal such that a pair of corresponding angles are congruent, then the two lines are parallel.

Converse of the Alternate Interior Angles Theorem If two lines are cut by a transversal such that a pair of alternate interior angles are congruent, then the two lines are parallel.

Converse of the Alternate Exterior Angles Theorem If two lines are cut by a transversal such that a pair of alternate exterior angles are congruent, then the two lines are parallel.

Converse of the Consecutive Interior Angles Theorem If two lines are cut by a transversal such that a pair of consecutive interior angles are supplementary, then the two lines are parallel.