4.10.3 triangle midsegment theorem

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.

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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.

Page 2: 4.10.3 Triangle Midsegment Theorem

midsegment A segment that joins the midpoints of two sides of a triangle.

I C

Points I, C, and E are midpoints of ∆HOT.

IC, CE, and EIare 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.

I C

1IC HT, IC HT

2=�

Page 4: 4.10.3 Triangle Midsegment Theorem

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

14141414

62º62º62º62º

LT and TSare midsegments.

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