2-2 Notes for Converses of Angle Relationships and Practice

If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel.

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Converse of Corresponding Angles Theorem

If two lines and a transversal form same-side interior angles that are supplementary, then the lines are parallel.

Converse of Same-Side Interior Angles Postulate

If two lines and a transversal form alternate interior angles that are congruent, then the lines are parallel.

Converse of Alternate Interior Angles Theorem

If two lines and a transversal form alternate exterior angles that are congruent, then the lines are parallel.

Converse of Alternate Exterior Angles Theorem

If two lines are parallel to the same line, then they are parallel to each other.

Theorem (2-8)

If two lines in the same plane are perpendicular to the same line, then they are parallel to each other.

Theorem (2-9)