Download presentation

Published byNoah Lockhart Modified over 5 years ago

1
**Chapter 3.2 Notes: Use Parallel Lines and Transversals**

Goal: You will use angles formed by parallel lines and transversals.

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.

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

11
Ex.8: Find the value of x.

Similar presentations

Presentation is loading. Please wait....

OK

3.2 Proving Lines Parallel

3.2 Proving Lines Parallel

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google