ID: 1
Name
Geometry
Parallelogram Attributes - HW #51
© 20 1 2 K ut a S o f t wa r e L L C . A l l r i g h t s re s e r v e d .
Solve for x. Each figure is a parallelogram.
1)
T
2)
S
x
E
Date
Period
B
°
x
C
D
°
R
U
3)
4)
A
°
H
x
x
C
B
G
D
x
F
E
5)
6)
S
T
x
x
Z
W
°
R
U
Y

X
7)
8)
V
U
x

F
G
x
W
X
E
H
x
9)
10)
M
N
C
B


x
© 2 0 1 2 K u t a
x
K
D
L
S o f t w a r e L L C . A l l r i g h t s r e s e r v e d . M a d e w i t h I n f i n ite G e o m e t r y.
-1
E
Worksheet by Kuta Software LLC
Find the measurement indicated in each parallelogram.
11) Find BC
12) Find FG
B x C
G
H
x
x
F
A
E
D
x
13) Find VW
14) Find ML
x
V
M x L
W
U
x
X
N x K
15) Find mS
16) Find mZ
R
Y
S
x
Z
x
x
x
U
W
X
T
17) Find mW
18) Find mE
U
V
E
F
x
x x
x
H
X
W
G
19) Given Quadrilateral DECK is a arallelogram, with the diagonals meeting at point T. Note: b, c, and d are
each separate problems.
a) Sketch the parallelogram, labelling all vertices.
© 2 0 1 2 K u t a
b) If KT=2x+y, DT=x+2y, TE=12 and TC is 9, then x = ____ and y = ____
c) If DE=x+y, EC=12, CK=2x-y, KD = 3x – 2y, then x = ____ and y = ____ and perimeter =
d) If mDKE=3x, mEKC=4x and mCEK=x2 – 70 .
S o f t w a r e L L C . A l l r i g h t s r e s e r v e d . M a d e w i t h I n f i n ite G e o m e t r y.
-2
Worksheet by Kuta Software LLC
Answers to Parallelogram Attributes - HW #51
1) 
5) 
9) 
13) 
17) °
19) a)
2) 
6) 
10) 
14) 
18) °
3) 
7) 
11) 
15) °
4) 
8) 
12) 
16) °
19 b) x = 5, y = 2 c) x= 6, y = 3 , perim=42 d) x =
10 © 2 0 1 2 K u t a
S o f t w a r e L L C . A l l r i g h t s r e s e r v e d . M a d e w i t h I n f i n ite G e o m e t r y.
-3
Worksheet by Kuta Software LLC