Transcript 5.1 Midsegment Theorem

Midsegment Theorem
Vocabulary
The Midsegment of a Triangle is a
segment that connects the midpoints of
two sides of the triangle.
B
D and E are midpoints
D
A
E
DE is the midsegment
C
Theorem 5.1
Midsegment Theorem
The segment connecting the midpoints of two
sides of a triangle is parallel to the third side
and is half as long as that side.
B
D
A
2DE  AC
E
C
1
DE   AC 
2
Example 1
In the diagram, ST and TU are midsegments of
triangle PQR. Find PR and TU.
16 ft
PR = ________
5 ft
TU = ________
Example 2
In the diagram, XZ and ZY are midsegments
of triangle LMN. Find MN and ZY.
53 cm
MN = ________
14 cm
ZY = ________
Example 3
In the diagram, ED and DF are midsegments of
triangle ABC. Find DF and AB.
5X+2
3X - 4
x = ________
10
DF = ________
26
AB = ________
52