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AB BD

TRIANGLE PROPORTIONALITY THEOREM: a line drawn parallel to any of the sides of a triangle divides the other two sides proportionally. A. AB BD. AC CE. =. BC divides AD and AE proportionally. B. C. E. D. USE IT!. Find the length of AE. C. 6. B. 4. A. D. E. 9.

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AB BD

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  1. TRIANGLE PROPORTIONALITY THEOREM: a line drawn parallel to any of the sides of a triangle divides the other two sides proportionally. A AB BD AC CE = BC divides AD and AE proportionally. B C E D

  2. USE IT! Find the length of AE. C 6 B 4 A D E 9 Answer on next slide.

  3. ANSWER! Find the length of AE. C 6 B 4 A D E 9 9 AE 6 4 = AE = 6 6(AE) = 36

  4. USE IT! Find the length of AD and CE. B 10 5 E D x + 3 x + 1 A C Answer on next slide.

  5. ANSWER! Find the length of AD and CE. B 10 5 E D x + 3 x + 1 A C 10 x + 3 5 x + 1 = AD = 2 CE = 4 5(x + 3) = 10(x + 1) x = 1

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