Transcript Section 5-4 Midsegment Theorem

Section 5-4
Midsegment
Theorem
Midsegment of a Triangle
• The segment connecting
the midpoints of two sides of
a triangle
Example:
Find the coordinates of the endpoints of each midsegment.
Recall the Midpoint Formula:
 x  x 2 y1  y 2 
M  1
,

2
2


D  ______________
E  ______________
F  ______________
Midsegment Theorem
• Midsegment is parallel to
the third side of the triangle
• Midsegment is half as long
as the third side.
AM  MB
AND
A
midpoint
M
B
MN
6 cm
Midsegment
12 cm
║
BC
AN  NC
N
midpoint
C
1
MN  BC
2
Examples
A
M
B
14
2x
8 mcm
28
cm
1612
m
N
C
Find the perimeter of ABC
13.
14.
15.
16.