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Parallel Lines and Transversals

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1 Parallel Lines and Transversals
Chapter 3 Section 3.3 Parallel Lines and Transversals

2 Warm-Up What can you conclude about the angles?
Which is not true if m<2=90? The lines are perpendicular. <1 is a right angle. The unlabeled angles are congruent. <1 and <2 are complementary . 1 2

3 When two parallel lines are cut by a transversal, then …
Corresponding angles are  Corresponding Angle Postulate Alternate Interior angles are  Alternate Interior Angle Theorem. Alternate Exterior angles are  Alternate Exterior Angle Theorem Consecutive Interior angles are Supplementary Consecutive Interior Angle Theorem

4 Perpendicular Transversal Thm.
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.

5 Find the measure of 1 and 2 Explain your reasoning

6 Find the measure of 1 and 2 Explain your reasoning

7 Find the value of x and y and state the reason

8 Find the value of x and y and state the reason

9 Find the value of x and state the reason

10 Find the value of x and state the reason

11 Complete the flow proof of the Proof of the Alt. Ext. Angle Thm.


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