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

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Presentation transcript:

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

Answers to HW r 12. a, a 14. b 16. x = x = 12 5; y = 3 7; z = x = 4

Proportions in Triangles Math 2 - Lesson 33 Mr. Lopez

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,

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

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

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

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

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

Homework Answers ft and 2.6 ; 5. C 3.3 and 8.7; 7. D 3.8 and Many possibilities (Ex: 9 and 13.5) (DONT WORRY ABOUT THIS ONE) a. AB/BC /7 = … b. WX/XY 17. KS c. AB/BC = WX/XY 19. JP 36. Yes. Side Splitter Theorem 21. KM 38. Yes. Side Splitter Theorem ft