6-4 Parallel Lines and Proportional Parts

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

This preview shows pages 1–10. Sign up to view the full content.

Parallel Lines & Proportional Parts Section 6-4

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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.
b a y x = x y a b b a y x =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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.
6.6 Triangle Midsegment Theorem A midsegment of a triangle is parallel to one side of the

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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!...
View Full Document

## This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.

### Page1 / 10

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

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online