Identify a midsegment of a triangle and use it to solve problems.

1. Triangle Midsegments
The student is able to (I can):
• Identify a midsegment of a triangle and use it to solve
problems.

2. midsegment A segment that joins the midpoints of two
sides of a triangle.
H
O
T
I C
E
Points I, C, and E are
midpoints of ∆HOT.
IC, CE, andEI
are midsegments.

3. Triangle Midsegment Theorem
A midsegment of a triangle is parallel to
a side of the triangle, and its length is
half the length of that side.
H
O
T
I C
E
1
IC HT,IC HT
2
=

4. Examples Find each measure.
1. FE
FE = 2(LT) = 2(14)
= 28
2. m∠UFE
m∠UFE = m∠TSE
= 62º
3. UE
UE = 2(9) = 18
F
L
U
T
E
S
14141414
62º62º62º62º
LT and TS
are midsegments.
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