2.5.7 Triangle Midsegments

5
Triangle Midsegments The student is able to (I can): • Identify a midsegment of a triangle and use it to solve problems.

Transcript of 2.5.7 Triangle Midsegments

Page 1: 2.5.7 Triangle Midsegments

Triangle Midsegments

The student is able to (I can):

• Identify a midsegment of a triangle and use it to solve

problems.

Page 2: 2.5.7 Triangle Midsegments

midsegment midsegment midsegment 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 ΔHOT.

, , andIC CE EI

are midsegments.

Page 3: 2.5.7 Triangle 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,

2IC HT HT=� IC

Page 4: 2.5.7 Triangle Midsegments

Examples Find each measure.

1. FE

2. m∠UFE

3. UE

F

L

U

T

E

S

14141414

62626262°°°°

and LT TS

are midsegments.

9

Page 5: 2.5.7 Triangle Midsegments

Examples Find each measure.

1. FE

FE = 2(LT) = 2(14)

= 28

2. m∠UFE

m∠UFE = m∠TSE

= 62°

3. UE

UE = 2(9) = 18

F

L

U

T

E

S

14141414

62626262°°°°

and LT TS

are midsegments.

9


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