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4.10.3 Triangle Midsegment Theorem
The student is able to (I can):
• Identify a midsegment of a triangle and use it to solve
problems.
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.
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
=
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.
9

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4.10.3 Triangle Midsegment Theorem

  • 1. 4.10.3 Triangle Midsegment Theorem 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. 9