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7.5 Proportions in Triangles

7.5 Proportions in Triangles. The Side-Splitter Theorem. If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. Q. R. S. X. Y. Corollary to the Side-Splitter Theorem.

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7.5 Proportions in Triangles

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  1. 7.5 Proportions in Triangles

  2. The Side-Splitter Theorem If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. Q R S X Y

  3. Corollary to the Side-Splitter Theorem If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. Z Y X S T U a b c

  4. Example • What is the value of x? 12 9 X+1 x

  5. Example • What are the values of x and y? 6.4 8 x 9 7.2 y

  6. 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 B C D

  7. Example • What is the value of x? 18 10 X 12

  8. Homework • P. 475 #’s 9-22, 24-30, 33-35, 44-45, 51-58

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