3.2 Notes: Use Parallel Lines and Transversals

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Presentation transcript:

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

Look @ your notes

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.

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

Look @ your notes

Ex: Use the diagram. 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.

Ex: Find the value of x.

Look @ your notes

Look @ your notes

Exit Questions: Ex: Find the value of x and y. Ex: Find and

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