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Chapter 3.2 Notes: Use Parallel Lines and Transversals

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Presentation on theme: "Chapter 3.2 Notes: Use Parallel Lines and Transversals"— Presentation transcript:

1 Chapter 3.2 Notes: Use Parallel Lines and Transversals
Goal: You will use angles formed by parallel lines and transversals.

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3 Postulate 15 Corresponding Angles Postulate:
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Ex.1: The measure of three of the numbered angles is 120o. Identify the angles. Explain your reasoning.

4 Theorem 3.1 Alternate Interior Angles Theorem:
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. Theorem 3.2 Alternate Exterior Angles Theorem: If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. Theorem 3.3 Consecutive Interior Angles Thm: If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

5 Ex.2: Find the value of x.

6 Ex.3: Find the value of x.

7 Ex. 4: Use the diagram below. a
Ex.4: Use the diagram below. a. If , find and Tell which postulate or theorem you used in each case. b. If and , what is the value of x? Show your steps.

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10 Ex.5: Find the value of x and y. Ex.6: Find and

11 Ex.8: Find the value of x.


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