Lesson 5.1 ­ Midsegments in Triangles.notebook
October 17, 2016
Lesson 5.1
Midsegments of Triangles
Objective: To use properties of midsegments to solve problems. Midsegment: A segment that connects the midpoints of two sides of a triangle. (There are three in every triangle.) Midsegment Thoerem:
• The segment connecting the midpoints of two sides is parallel to the third side.
• The segment connecting the midpoint of two sides is 1/2 the length of the third side.
1) JH | | ___
D
J
E
2) ___ | | DE
H
G
3) EF = ___
4) GH = ___
F
5) DF = ___
6) JH = ___
1
Lesson 5.1 ­ Midsegments in Triangles.notebook
October 17, 2016
Find the value of x. x + 9
2x
Find the value of x. 3x
4x + 20
The midpoints of the three sides of a triangle are P(2,0), Q(7,12), and R(16,0). Find the length of each midsegment and the perimeter of ΔPQR. Then find the perimeter of the original triangle. 2