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Midsegment Theorem
Contributed by: Jarvie

What facts do we know about a midsegment

of a triangle?

The 3rd side is twice as long as

     the midsegment

The midsegment is 1/2 as long

as the third side

The midsegment is parallel to the

      third side

All of the above

What is the length of segment EC if DE is

the midsegment?

A
D
EC =
B
6
E
C
What is the length of segment DE?
A
D
DE=
B
24
E

DE is the mid-

segment of the

        triangle. 

C

BD is the midsegment of triangle ACE.  Find

the value of x.

A
B
16
x
C

E

D
x =
G
A
H
C
B

Use ∆GHJ, where A, B, and C

are midpoints of the sides.

J
AB =

If AB = 3x+8 and

GJ = 2x+24,

what is AB?

G
A
H
C
B

Use ∆GHJ, where A, B, and C

are midpoints of the sides.

J

If AC = 3y-5 and

HJ=4y+2, what is HB?

HB =
G
A
H
C
B

Use ∆GHJ, where A, B, and C

are midpoints of the sides.

J

If GH = 7z-1 and

BC = 4z-3,

what is GH?

GH =
A
LN

CB is parallel to

L

Segment AB

?
C
M
N

Segment LM

?

Complete each

statement by matching.

B
A
L
C
M
N
Choose the best answer.
B

MB and CN

MB and CL

MB and LN

MB

AM = ?
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