NAME_______________________DATE_____________________PERIOD____
Chapter 6 Review
Find the variables for each figure.
1.
2.
3.
4.
5. In parallelogram CMWX,
find m 1, m 2, and m 3.
6. Find x and y.
65
46
56
x
y
.
69
b x  22g
7. The figure below is a kite.
8. In square KLMN, LN  20 inches. What is
the area of  LOM?
L
x°
M
28°
O
What is the value of x?
K
N
9.
10.
11.
12. Find the value of the variables in the
parallelogram.
O
P
33
100
y
z
x
N
13.
Q
14. Find the value of y using the
parallelogram below.
K
b2xg
J
b x  132g
L
y
M
15. Quadrilateral EFGH is a rectangle. If EM = 5x + 1 and HF = 42, find the value of
‘x’.
H
G
M
E
F
16. How many sides does a regular polygon have if the measure of each exterior
angle is equal to 45°?
17. If one interior angle of an equiangular n-gon is 140, how many sides does the ngon have?
A pentadecagon is a 15-sided polygon. Find the following.
18. Find the sum of the measures of the interior angles of a pentadecagon.
19. Find the measure of each interior angle of a regular pentadecagon.
20. Find the sum of the measures of the exterior angles of a pentadecagon.
21. Find the measure of each exterior angle of a regular pentadecagon.
22. The measure of each exterior angle of a regular polygon is 22.5. Find the
number of sides the polygon has.
23. The measure of an interior angle of a regular polygon is 160. Find the number
of sides.
24. Quadrilateral ABCD is a rectangle.
A. If
A
and
, find
.
B
B. If
G
D
R
2x + 5
, find
C. If AB = 21 and BC = 20, then find AC.
C
25. TRSU is a rhombus. Find
and
.
26.
and
. Find the value
of x so that QRST is isosceles.
S
R
>>
S
5x + 2
T
U
Q
>>
T
.
27. In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 4x – 5, and HE = 2y + 3.
Find the values of x and y. The diagram is not to scale.
D
E
H
G
F
28. Find the value of x in the rhombus.
(-4 x2 + 15)
2
(8 x + 24x )
30. In the figure shown, EF
29. Find RS.
is the midsegment of trapezoid
ABCD. Find x.
B
>>
C
S
||
|
R
4x  3
22
Y
|
Q
5x  2
F
||
X
E
>>
26
T
7x  3
A
D
31. How many triangles are formed by drawing diagonals from one vertex in the
polygon? What is the sum of the measures of the angles in the polygon? Is it regular
or irregular? Convex or concave?
32. The diagram shows a trapezoid and its median. Find the value of ‘x’.
x+1
x+8
3x + 1
33. ABCD is a rhombus. If mABD = 35, find mBAC.
A
E
34. If ABCD is a rhombus, AE = and BE =15.
Find the perimeter of ABCD
D
35.
B
C
36.
37. Given each set of vertices, determine whether parallelogram ABCD is a
rhombus, a rectangle, or a square. List all that apply.
,
,
,