Learning Objectives:

__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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