3-2 Proving Lines Parallel

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Presentation transcript:

3-2 Proving Lines Parallel Geometry

Converse of the Corresponding Angles Postulate If two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel.

Converse of the Alternate Interior/Exterior Angles If two lines and a transversal form alternate interior/exterior angles that are congruent, then the two lines are parallel.

Converse of the Same-Side Interior Angles Theorem If two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel.

THEOREM 3-5: If two lines are parallel to the same line, then they are parallel to each other.

THEOREM 3-6: In a plane, if two lines are perpendicular (90°) to the same line, then they are parallel.

Ex. 1: For what value of x is a parallel to b.

Ex. 2: For what value of x is l parallel to m.

Ex. 3: For what value of x is a parallel to b.

Ex. 4: For what value of x is a parallel to b.

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