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8-5 Proportions in Triangles

8-5 Proportions in Triangles - proportional d d c b b a = a...

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Proportions in Triangles Section 8-5

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Thm. 8.5 Side-Splitter Thm. If a line is parallel to one side of a triangle and intersects the other 2 sides, then it divides those sides proportionally.
b a y x = x y a b b a y x =

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6.6 Triangle Midsegment Theorem A midsegment of a triangle is parallel to one side of the triangle, and its length is 1/2 the length of that side.
A B C D AB = ½ CD

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Corollary 7-1 and 7-2 If 3 or more parallel lines intersect 2 transversals, then the segments intercepted on the transversals are

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Unformatted text preview: proportional. d d c b b a + = + a b c d d c b a = Thm. 8-5 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 r x w k k w x r = Joke Time How would you describe a frog with a broken leg? Unhoppy What did the horse say when he got to the bottom of his nose bag? That’s the last straw!...
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8-5 Proportions in Triangles - proportional d d c b b a = a...

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