Answers

At.sMf-1
Name----~~~~------------------ Date
--------------------------
&eti-Midsegments of Triangles
Name the segment that is parallel to the given segment.
1)
AB
2) XY
3) CB
-
ZY
B
60
-
A
2..~
c
Points M, N, and Pare the midpoints of the sides of I::,.QRS. QR = 30, RS = 30, and SQ = 18.
4) Find MN.
Cf
5) Find MQ.
6) Find MP.
/7'"
7) Find PS.
8) Find PN
/./c-
9) Fi nd RN.
15"'
R
M
9
15"
Q
p
Find the value of x.
10)
11)
12)
13)
14)
15)
35
5x
!j~~t
1
5
17)
16)
18)
x+ 9
Dis the midpoint of AB. E is the midpoint of CB .
19)
If mL.A = 70, find mL.BDE.
@
20)
If mL.BED = 73, find mL.C.
J!_3}
21)
If DE= 23 , findAC.
22)
If AC = 83 , find DE.
8
@fJ
j it·)"
c
J
A
Find the distance across the lake in each diagram.
23)
24)
25)
7 km
5.8 mi
[i-.9#1/ 1
Use the diagram at the right.
26) Which segment is shorter for kayaking across the lake, AB or
BC ? Explain.
~(!,_ . ;./J
'
k// ,t_5;.,;_
y
~
27) Which distance is shorter, kayaking from A to B to C, or walking
from A to X to C? Explain.
>~.
X
--6G-:::: A X
C
1!- - - - - r
6 rni
z
28)
a=
~f
0
, b=
5 tf ~
c=
9'(
0
29)
X
=
tl ,y = 7 , Z = ? V
a
21
X
Comp lete the following .
..)'"'0)
x, y, and z are midpoints. Perimeter 6. PQR = 132, RQ = 55, and PZ = 20.
Perimeter 6. XYZ =
66
R
Z~Y
PQ= _2l
p /~~ o
zx =-klf
31 )
MN is the midsegment. Find the
coordinates of M and N Find the
slopes of AB and M N .
y
{/t,6)
-~-Z..
5/u~~
:::
5/~
: :. z -(,
~-Y
~1]@
c (2 0, 10)
(/Y,~ t)
X
tV
/I(
/Y,5-jz,
(~]=EEJ

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