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# 3.2 Use Parallel Lines & Transversals

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## Chrissy Lester

on 24 October 2017

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#### 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. 1.
2. 2.
3. 3.
4. 4.
LCA Geometry with Mrs. Lester
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