5.1. Midsegment Theorem http://www.ck12.org
9.
10.
11.
12.
13.
- The sides of 4 XY Zare 26, 38, and 42. 4 ABCis formed by joining the midpoints of 4 XY Z.
a. Find the perimeter of 4 ABC.
b. Find the perimeter of 4 XY Z.
c. What is the relationship between the perimeter of a triangle and the perimeter of the triangle formed by
connecting its midpoints?
Coordinate GeometryGiven the vertices of 4 ABCbelow, find the midpoints of each side.
15.A( 5 ,− 2 ),B( 9 , 4 )andC(− 3 , 8 )
16.A(− 10 , 1 ),B( 4 , 11 )andC( 0 ,− 7 )
17.A( 0 , 5 ),B( 4 ,− 1 )andC(− 2 ,− 3 )
18.A( 2 , 4 ),B( 8 ,− 4 )andC( 2 ,− 4 )For questions 19-22, 4 CAThas verticesC(x 1 ,y 1 ),A(x 2 ,y 2 )andT(x 3 ,y 3 ).
- Find the midpoints of sidesCAandAT. Label themLandMrespectively.
- Find the slopes ofLMandCT.