1 / 10

Parallel Lines & Proportional Parts

Learn the Triangle Proportionality Theorems in Section 6-4 and applications with parallel lines cutting triangles into proportional segments. Explore Theorem 6.5, 6.6, and Corollary 7-1 and 7-2.

lippincott
Download Presentation

Parallel Lines & Proportional Parts

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Parallel Lines & Proportional Parts Section 6-4

  2. 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.

  3. x a y b

  4. 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 3rd side.

  5. 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.

  6. A B D C AB = ½ CD

  7. 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.

  8. b a c d

  9. Joke Time How would you describe a frog with a broken leg? Unhoppy

  10. What did the horse say when he got to the bottom of his nose bag? That’s the last straw!

More Related