Lesson 10-1 Pages 492-497

1. Lesson 10-1Pages 492-497 Line and Angle Relationships Lesson Check Ch-9

2. What you will learn! • How to identify the relationships of angles formed by two parallel lines and a transversal. • How to identify the relationships of vertical, adjacent, complementary, and supplementary angles.

3. Vocabulary

4. What you really need to know! When two parallel lines are intersected by a third line called a transversal, eight angles are formed!

5. What you really need to know! Interior angles lie inside the parallel lines! 3, 4, 5, 6

6. What you really need to know! Exterior angles lie outside the parallel lines! 1, 2, 7, 8

7. What you really need to know! Alternate interior angles are on opposite sides of the transversal and inside the parallel lines! 3 and 5, 4 and 6

8. What you really need to know! Alternate exterior angles are on opposite sides of the transversal and outside the parallel lines! 1 and 7, 2 and 8

9. What you really need to know! Corresponding angles are in the same positions on the parallel lines in relation to the transversal! 1 and 5, 4 and 8, 2 and 6, 3 and 7

10. What you really need to know!

12. Example 1: In the drawing, m║ n and t is a transversal. If m 7 = 123°, find m 2 and m 8.

13. Example 1: m 2 = 57° and m 8 = 57°

14. Example 2: If m D = 53° and  D and  E are complementary, what is m E?

15. Example 3: Angles PQR and STU are supplementary. If m PQR = x – 15 and m STU = x – 65, find the measure of each angle.

16. (x – 15) + (x – 65) = 180 2x – 80 = 180 2x = 260 x = 130

17. m PQR = 130 – 15 = 115° m STU = 130 – 65 = 65°

18. Example 4: A road crosses railroad tracks at an angle as shown. If m1 = 131°, find the m6, and m5. m6 = 49° and m5 = 131°

19. Page 495 Guided Practice #’s 3-9

21. Read: Pages 492-495 with someone at home and study examples!

22. Homework: Pages 496-497 #’s 10-31 all #’s 35-36, 43-45 Lesson Check 10-1

26. Page 747 Lesson 10-1

27. Lesson Check 10-1