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

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5.4 Midsegment thm Pg 287
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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
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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)
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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
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Example find UW and RT. UW= ½ RS= ½ (12)=6
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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...
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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.

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

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