6-4 Parallel Lines and Proportional Parts

6-4 Parallel Lines and Proportional Parts - triangle, and...

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Parallel Lines & Proportional Parts Section 6-4
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Thm. 6.4 Triangle Proportionality If a line is parallel to one side of a triangle and intersects the other 2 sides in 2 distinct points, then it separates these sides into segments of proportional lengths.
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b a y x = x y a b b a y x =
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Theorem 6.5 (Converse of the Triangle Proportionality Thm.) If a line intersects 2 sides of a triangle and separates the sides into corresponding segments of proportional lengths, then the line is parallel to the 3 rd side.
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6.6 Triangle Midsegment Theorem A midsegment of a triangle is parallel to one side of the
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Unformatted text preview: triangle, and its length is 1/2 the length of that side. A B C D AB = CD Corollary 7-1 and 7-2 If 3 or more parallel lines intersect 2 transversals, then they cut off the transversals proportionally. If 3 or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal. d d c b b a + = + a b c d d c b a = 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? Thats the last straw!...
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This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.

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6-4 Parallel Lines and Proportional Parts - triangle, and...

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