Review 7.4-7.5
1 Choose the statement that is NOT ALWAYS true.
For a rhombus ________.
A each diagonal bisects a pair of opposite angles
B
all four sides are congruent
C the diagonals are congruent
D the diagonals are perpendicular
2 The diagonals of a parallelogram always
_________.
A are congruent
B
are parallel
C bisect each other
D are perpendicular
3 For rhombus PQLM below, if
43° then
______ .
A
30°
37°
C 40°
D 47°
4 Solve for x.
B
A
40.0
27.25
C 55.5
D 111.0
6 Determine the measure of angle EFB.
B
A
97°
83°
C 86°
D 73°
7 For the trapezoid shown below, the measure of the
midsegment is _______.
B
A
A
5.25
B
8.0
C 12.25
D 16.0
5 Solve for x.
29
58
C 25
D 30
8 The coordinates of quadrilateral PQRS are P(–3, 0),
Q(0, 4), R(4, 1), and S(1, –3). Which best describes
the quadrilateral?
A a rectangle
B
a square
B
C
A
D
B
a rhombus
a parallelogram
9 If all four sides of a quadrilateral are congruent, the
quadrilateral is _______.
10 Which statement is false?
A
Every rectangle is a parallelogram.
B
All squares are rectangles.
C
All squares are rectangles.
D
Every kite is a rhombus.
11 Find the sum of the measures of the interior angles
of a convex hexagon.
C
D
a kite
a nonsquare rectangle
a rhombus
a trapezoid
12 Find the value of x.
68 °
110 °
135°
15 Find AB.
D
M
A
x°
16
27
B
13 Find the value of x.
N
C
6x °
119°
102 °
140 °
132 °
124 °
6x°
132 °
14 The end of a charger that is plugged into a phone is
an isosceles trapezoid. Find
,
, and
when
.
16 A scenic overlook which extends over a ravine is
shaped like a kite. Find
.
y
Y
6
5
4
40°
3
2
C
X
Z
B
1
–6 –5 –4 –3 –2 –1–1
–2
112°
–3
–4
Z
W
–5
–6
A
17 Find the length of midsegment
ABCD when
,
in trapezoid
,
, and
.
Match the angle measure below to its regular polygon.
A
D
Pentagon
Hexagon
B
E
Nonagon
Decagon
C
F
Heptagon
Octagon
18 Exterior angle of 60°
19 Interior angle of 140°
20 Interior angle of 128.6°
Y
D
1
2
3
4
5
6
x
Review 7.4-7.5
Answer Section
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
C
C
D
A
C
B
C
B
C
D
720°
47
about 27.6
17
18
19
20
5 2
D
B
C
,
5
104°
, and