1. You Can Do It!! Solve for x, y and z A B C D x y z 6 3

2. Answers to HW 2. 2 10 4. 12 6. 25 8. 3 7 10. r 12. a, a 14. b 16. x = 20 18. 6 3 35. x = 12 5; y = 3 7; z =6 5 50. x = 4

3. Proportions in Triangles Math 2 - Lesson 33 Mr. Lopez

4. Side-Splitter Theorem (Cool Name) The side-splitter theorem states that if a line parallel to one of its sides intersects the other two sides then it divides those sides proportionally. (Hmmmm!!) A B C DE If DE || CB then,

5. How do we use the side-splitter theorem Mr. Lopez? If AD = x, AE = 5, DC = 16 and EB = 10, solve for x. A B C DE

6. More With The Side-Splitter Theorem If 3 parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional. (Interesting!) a b c d

7. Can we practice this concept Mr. Lopez? Solve for x and y 1624 20 y 12 x

8. Triangle-Angle Bisector Theorem If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle. A BC D If AC bisects A then

9. Please Mr. Lopez, lets try it! Solve for x A BC D x 85 6

10. Homework Answers 1. 7.526. 671 ft 3. 5.227. 2.4 and 2.6 ; 5. C 3.3 and 8.7; 7. D 3.8 and 9.2 9. 3.333.. 28. Many possibilities (Ex: 9 and 13.5) 11. 6 (DONT WORRY ABOUT THIS ONE) 13. 35 35. a. AB/BC 15. 40/7 = 5.714285… b. WX/XY 17. KS c. AB/BC = WX/XY 19. JP 36. Yes. Side Splitter Theorem 21. KM 38. Yes. Side Splitter Theorem 25. 559 ft