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Accelerated Geometry
Quadrilaterals Worksheet #1
1.
Name ___________________________
Date______________
In Parallelogram ABCD, ∠A = 9y – 12, ∠B = –26x + 16, ∠C = 60°. Find the value of x and y.
B
C
A
D
2.
Draw parallelogram STAR with diagonals SA and TR . Find the value of x and y if m∠TSA = 2x,
m∠STR = 18°, m∠SRT = 62°, m∠RSA = 3y + 5, and m∠SAT = 50°.
3.
Given: Parallelogram WSTV
WS = x + 5
WV = x + 9
VT = 2x + 1
Find the perimeter of WSTV
W
S
V
T
Accelerated Geometry
Quadrilaterals Worksheet #1
Name ___________________________
Date______________
4.
Draw parallelogram PWJL. m∠P = 7x – 12, m∠W = 2x + 3. Find x and the measures of angles P
and W.
5.
Use the parallelogram at the right to solve each problem.
E
b.) If mBAC = 45, find mACD
c.) If mBEA = 135, find mAED
C
d.) If mABC = 50, find mBCD
e.) If AB = 5x – 3 and CD = 2x + 9, find AB
f.) If mDAB = 2x – 10 and mADC = 3x, find mDAB
g.) If mBAD = 3x – 12 and mBCD = x + 40, find mBAD
h.) If CE = 2x + 7 and EA = 3x – 4, Find CA
i.) If BD = 4y – 22 and ED = y + 5, Find BE
A
B
a.) If mBCD = 125, find mBAD
D
Accelerated Geometry
Quadrilaterals Worksheet #1
6.
Name ___________________________
Date______________
Solve for x and y in the parallelogram below.
3x − 2 y
114°
4x + 6 y
66°
7.
Solve for the value(s) of x in the parallelogram below and then determine the possible side lengths.
2 x 2 − 3x + 20
x 2 − 2 x + 32
8.
In Paralleogram ABCD, m∠A = 4 x + 11y − 10 , m∠B = 3 y − 2 x , m∠C = − 2 y − 15 x − 5
and m∠D = − 2 x + 3 y . Find the values of x and y and m∠A and m∠B.
B
A
C
D
Accelerated Geometry
Quadrilaterals Worksheet #1
Name ___________________________
Date______________
Directions for each quadrilateral:
a) Based on the properties of the given quadrilateral, mark the congruent and parallel parts as well as the
right angles (if there are any).
b) Mark the given information in diagram
c) Fill in as many missing measurements as possible. (Note: Not enough information to fill in all
measurements in some quadrilaterals)
c
a
For Right Δs: Use Pythagorean Theorem (which we will prove in later): c2 = a2 + b2
b
9.
Given: Rhombus EFGH
m∠EHF = 37
HF = 8”
FG = 5”
A
B
X
37°
C
D
10.
Given: Rectangle IJKL
m∠ILZ = 37
LJ = 5”
JK = 4”
I
11.
J
Given: Square MNOP
PN = 8”
M
N
Y
Z
P
37
°
L
K
O
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