Download Geometry –300

Geometry 300
Parallelogram Packet
Name________________________
Date__________________
1. In Parallelogram ABCD, A = 9y – 12, B = –26x + 16, C = 60. Find the value of x and y.
B
A
C
D
2. In Parallelogram EFGH, the ratio of E to F is 1:11. Find the measure of G and H.
3. Quadrilateral IJKL has coordinates I(–2, 6) , J(2, 11) , K(3, 8) and L(–1, 3). Show using slopes that
IJKL is a parallelogram.
Geometry 300
Name________________________
Parallelogram Packet
Date__________________
4. 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.
5.
Given: Parallelogram WSTV
WS = x + 5
WV = x + 9
VT = 2x + 1
Find the perimeter of WSTV
6.
W
S
Given: Parallelogram ABCD
m A = x
m D = 3x - 4
Find: mD and mC
V
T
D
A
C
B
7. In parallelogram PWJL. PW= 5x – 3, LJ = 3x + 3. Find x and the measures of sides PW and LJ.
Geometry 300
Parallelogram Packet
Name________________________
Date__________________
8. 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
Geometry 300
Parallelogram Packet
Name________________________
Date__________________
9. Solve for x and y in the parallelogram below.
3x  2 y
114°
4x  6 y
66°
10. 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
11. Solve for the value(s) of x in the parallelogram below and then determine the possible diagonal
lengths.
5x  4
x2  2
Geometry 300
Name________________________
Parallelogram Packet
Date__________________
12. In Parallelogram 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
13. Quadrilateral ABCD has the following vertices A(-5,-9) , B(6, -11) , C(7, -7) and D(-4, -5)
Prove using the distance formula that this is a parallelogram. In other words, show that the opposite sides
of the quadrilateral are equal and therefore must be a parallelogram.