Math Tutoring on Parallel Lines Cut by a Transversal

Corresponding Angles Converse Postulate:

If two lines are cut by a Transversal and corresponding angles are Congruent, then the lines are Parallel.

We have to remember that a postulate is accepted as true without proof.

Theorem: Alternate Interior Angles Converse

If two lines are cut by a Transversal and the alternate interior angles are Congruent, then the lines are Parallel.

Theorem: Alternate Exterior Angles Converse

If two lines are cut by a Transversal and the alternate exterior angles are Congruent, then the lines are Parallel.

Theorem: Consecutive Interior Angles Converse

If two lines are cut by a Transversal and the consecutive (same-side) interior are supplementary, then the lines are Parallel.

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Hook questions:

1.    State Corresponding Angles Converse Postulate.

2.    State following theorems:

·       Alternate Interior Angles Converse

·       Alternate Exterior Angles Converse

·       Consecutive Interior Angles Converse

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