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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