1. Geometry Agenda 1. discuss Tests/Spirals 2. 3-1 Properties of Parallel Lines 3. Practice Assignment 4. EXIT

2. Chapter 3 3-1 Properties of _______Lines

3. transversal A line that ________ two coplanar lines at two distinct points. lines a and b are coplanar lines line t is the transversal

4. Alternate interior angle pairs Interior angles are  3  4  5 and  6. Alternate interior angle pairs are interior angles that are d_________ from each other. Alternate interior angle pairs are ___,___ and ___,___.

5. Same-side interior angle pairs Interior angles are  3  4  5 and  6. Same-side interior angle pairs are interior angles that are on The ________ _______ of the transversal. Same-side interior angle pairs are ___,___ and ___,___.

6. Corresponding angle pairs are one interior angle and one exterior angle that are in the ________ position with respect to each line. Corresponding angle pairs are ___,___ ; ___,___ ; ___,___ and ___,___.

7. Name angle pairs Alt. int.  s Same-side int.  s Corres.  s

8. Postulate 3-1 Corresponding Angles Postulate If a transversal intersects two parallel lines, then corresponding angles are ____________.

9. Theorem 3-1 Alternate Interior Angles Theorem If a transversal intersects two parallel lines, then alternate interior angles are ___________.

10. Theorem 3-2 Same-side Interior Angles Theorem If a transversal intersects two parallel lines, then same-side interior angles are _________________.

11. Example #1 Find the angle measures. m  2=35º m  6=____ m  4=____ m  3=____ m  8=____

12. Example #2 Find the angle measures. m  1=____ m  2=____ m  3=____ m  4=____ m  5=____ m  6=____ m  7=____

13. Example #3 Find x if m  3 = 12x - 8 and m  5 = 3x + 10

14. Example #4 Determine which lines are parallel if: a.  5  2 b.  5 supple  6 c.  2  3 d.  7  5

15. Example #5 Find x and y.

16. Example #6 Find x and y.

17. Example #7 Given: a||b Prove:  1  3 1. a||b 2.  1  4 3.  4  3 4.  1  3

18. Example #8 Given: a||b Prove:  1 supple  2 1. a||b 2. m  2+m  3=180 3.  3  1 4. m  2+m  1=180 5.  1 supple  2

19. Practice –WB 3-1 #1-16 EXIT