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7.4 : Parallel Lines and Proportional Parts

7.4 : Parallel Lines and Proportional Parts. If a line is parallel to one side of a triangle and intersects the other two sides of the triangle, then it separates those sides into proportional parts. A. Y. X. C. B. *If XY ll CB, then. 7.4 : Parallel Lines and Proportional Parts.

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7.4 : Parallel Lines and Proportional Parts

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  1. 7.4 : Parallel Lines and Proportional Parts • If a line is parallel to one side of a triangle and intersects the other two sides of the triangle, then it separates those sides into proportional parts. A Y X C B *If XY ll CB, then

  2. 7.4 : Parallel Lines and Proportional Parts • Triangle Midsegment Theorem • A midsegment of a triangle is parallel to one side of a triangle, and its length is half of the side that it is parallel to A E B *If E and B are the midpoints of AD and AC respectively, then EB = DC C D

  3. 7.4 : Parallel Lines and Proportional Parts • If 3 or more lines are parallel and intersect two transversals, then they cut the transversals into proportional parts C B A D E F

  4. 7.4 : Parallel Lines and Proportional Parts • If 3 or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal C B A D E If , then F

  5. A. In the figure, DE and EF are midsegments of ΔABC. Find AB. B.Find FE. C.Find mAFE.

  6. MAPS In the figure, Larch, Maple, and Nuthatch Streets are all parallel. The figure shows the distances in between city blocks. Find x.

  7. ALGEBRA Find x and y.

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