5.4 Midseg thm

# 5.4 Midseg thm - • RT=2(VW)=2(8)=16 8 12 R S W U T V...

This preview shows pages 1–9. Sign up to view the full content.

5.4 Midsegment thm Pg 287

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

View Full Document
Midsegment Midsegment- a seg that connects the midpts of 2 sides of a Δ A Z C Y B X __ Seg XZ, seg XY, and seg YZ are midsegs
Example use the midpt formula to find M-the midpt of seg KL and P-the midpt of seg JL M(5,2) P(2,1) Find JK and MP JK is 40 MP is 10 The midseg is ½ the measure of the side Find the slopes of segs JK and MP Both are 1/3; they are II J (-2,3) P M L(6,-1) K (4,5)

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

View Full Document
Thm 5.9 midsegment thm The midsegment of a Δ is II to the third side and is half as long. A D B E C Seg DE II seg BC and DE= ½ BC
Example find UW and RT. UW= ½ RS= ½ (12)=6

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: • RT=2(VW)=2(8)=16 8 12 R S W U T V Example a) What are the coordinates of Q and R? b) Why is seg QR II seg MP? c) What is MP? d) What is QR? N (a, b) Q R M(0,0) P(c,0) Answers to a-d • A) Q (a/2,b/2) & R ((a+c)/2, b/2) • B) slope of each is 0, their slopes are the same • C) MP=c • D) c/2 Example What is the perimeter of Δ XYZ? • Given that: • AB=23cm • BC=16cm • AC=25cm • YZ=11.5 • XZ=8 • XY=12.5 • Perimeter of Δ XYZ=32cm A B C X Y Z Assignment Assignment...
View Full Document

## This note was uploaded on 02/12/2011 for the course MTG 3212 taught by Professor Jackson during the Spring '11 term at University of Florida.

### Page1 / 9

5.4 Midseg thm - • RT=2(VW)=2(8)=16 8 12 R S W U T V...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online