Proving Lines are Parallel

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Presentation transcript:

Proving Lines are Parallel Section 3-4 Proving Lines are Parallel

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

1 2 j k j║k therefore

Converse of Alternate interior Angles theorem If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.

j k 3 4 If , then j║k.

Converse of consecutive interior Angles theorem If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel.

j k 5 6 If , then j║k.

Converse of Alternate exterior Angles theorem If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.

j k 7 8 If , then j║k.

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