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BI 6.4 Triangle Midsegment Theorem

Total questions: 13

Worksheet time: 7mins

Name
Class
Date
1.

How can you show that the midsegment ED\overline{ED}  is parallel to  BC\overline{BC}  ?

a)

Find and compare the lengths of  ED\overline{ED}  and  BC\overline{BC}  

b)

Find and compare the slopes of undefined and undefined 

c)

Find and compare the midpoints of undefined and undefined 

d)

You cannot show that the midsegmentundefined is parallel to undefined

2.

How can you show that the midsegment ED=12BCED=\frac{1}{2}BC  ?

a)

Find and compare the lengths of  ED\overline{ED}  and  BC\overline{BC}  

b)

Find and compare the slopes of undefined and undefined 

c)

Find and compare the midpoints of undefined and undefined 

d)

You cannot show that  ED=12BCED=\frac{1}{2}BC

3.

When AB = 16, what is QS?

a)

8

b)

16

c)

24

d)

32

4.

When SR = 68, what is CA?

a)

34

b)

68

c)

136

d)

17

5.

When SR = 46, what is BR?

a)

46

b)

23

c)

92

d)

11.5

6.

When CA=3x+1CA=3x+1  and  SR=5x+4SR=5x+4  , what is CACA  ?

a)

2

b)

- 1.5

c)

7

d)

- 3.5

7.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
8.
QR is a midsegment of triangle BCD. Solve for the value of x.
a)
11
b)
18
c)
9
d)
-7
9.
TS is a midsegment of triangle GHI. Solve for the value of x.
a)
4
b)
6
c)
8
d)
10
10.
VW is a midsegment of triangle KIJ. What is the length of segment KI?
a)
-1
b)
-10
c)
18
d)
8
11.
QR is a midsegment of triangle WXY. What is the length of segment WY?
a)
3
b)
6
c)
9
d)
12
12.
How many midsegments does a triangle have?
a)
1
b)

2

c)
3
d)
4
13.
Complete the statement, the midsegment of a triangle is half the length of the ___ ____ to it.
a)
angle oppostie
b)
side perpendicular
c)
side parallel
d)
incenter point