#### Transcript of 3.2 Use Parallel Lines & Transversals

**3.2 Use Parallel Lines & Transversals**

Consecutive Interior Angles Theorem

Guided Practice

Use the diagram below for each of the two questions:

Corresponding Angles

Postulate

If then,

Alternate Interior Angles Theorem

Example 1:

Identify Congruent Angles

Example 2:

Use Properties of

Parallel Lines

Find the value of x.

Alternate Exterior Angles Theorem

If then,

If then,

If then,

If Angle 1 = 110, find the value of the remaining numbered angles. Be prepared to explain how your answer is related to Angle 1 or a previously answered numbered angle.

Example 3:

Prove AIA Theorem

Prove that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Statement Reason

1. p || q 1.

2. 2.

3. 3.

4. 4.

**LCA Geometry with Mrs. Lester**

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