Ch. 5 Numbers Game
Use the diagram of square DECM at the right for #1 – 2.
E
D
1. If DM = x2 – 15 and EC = 2x, find x.
B
C
M
2. If mDEB = x + 2y + 6 and mEBD = 2x + 5y, solve for x and y.
#
H
3. Given: EFGH is an isosceles trapezoid with upper base HG
EJ= x + 7; JF = y – 3; HJ = x + 5; EG = y + 4
Find: HF
G
J
F
E
A
4. Given: ABCD is a kite
AD = 6x – 4
AEB = 5x2 – 35x
Find: DC
D
E
B
C
#
5. ABCD is a parallelogram with perimeter 34.
The perimeter of ABNM is 22 and NC  AM. Find NM.
B
N
A
M
6. Given: MOPR is a square with perimeter 60
MO = x + 2y + 1 and O=(8y 2 -39y +117)
Solve for x and y.
7. Given: NICK is a rectangle
mCKN = 10x2
mKNC = 24 – 9x
Find: mCIK
8. Given: DONE is a rectangle
DR = x + y, ER = 2y – 7, DN = -3x
Solve for x and y.
C
D
M
R
O
P
#
N
I
K
C
D
O
R
E
N
#
R
10. Given: QRST is a rhombus
Q
2 1
m3  y2  9y m1  27  4y ,
P
Find: m2
S
3
T
N
P
1
11. Given: MNPQ is a rhombus
NP = 9x – 8y + 4, PQ = 5x + 3y – 1
m2 = 2x + 3y + 2, m3 = 4x - y
Find: mN
2
M
4
3
Q
#
A
12. Given: ABCD is an isosceles trapezoid.
A  (4y  3x  2) , B  (x  y  27) ,
B
and C  (2x 3y  47) . Find the measures
of all the angles.
D
C
#
Good Luck Studying