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Geometry Unit 6 Review - Quadrilaterals

Total questions: 68

Worksheet time: 4hrs 37mins

Name
Class
Date
1.
A trapezoid is a parallelogram.
a)
True
b)
False
2.
A trapezoid is a quadrilateral with exactly one pair of _____ sides.
a)
parallel
b)
congruent
c)
perpendicular
d)
skew
3.
Find the missing angle of the trapezoid.
a)
65
b)
115
c)
180
d)
None of these
4.

What attribute makes a quadrilateral also a trapezoid?

a)

The polygon has 4 sides.

b)

The polygon has at least one set of parallel sides.

c)

The polygon has a right angle.

d)

The polygon has two congruent sides.

5.

Is this polygon a trapezoid?

a)

Yes

b)

No

6.

Is this polygon a trapezoid?

a)

Yes

b)

No

7.

Is this polygon a trapezoid?

a)

Yes

b)

No

8.

Is this polygon a trapezoid?

a)

Yes

b)

No

9.

Which colored shape is not a trapezoid?

a)

the green polygon

b)

the yellow polygon

c)

the orange polygon

d)

the red polygon

e)

the purple polygon

10.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
11.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
12.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
13.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
14.
In a parallelogram, diagonals are __________.
a)
perpendicular
b)
bisected
c)
congruent
d)
parallel
15.
Which shape is NOT a type of parallelogram?
a)
trapezoid
b)
rectangle
c)
rhombus
d)
square
16.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
17.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
18.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
5
19.
A quadrilateral with all congruent sides would best be described as a ________.
a)
square
b)
rectangle
c)
rhombus
d)
parallelogram
20.
A quadrilateral with all congruent angles would best be described as a  ________.
a)
square
b)
rectangle
c)
rhombus
d)
parallelogram
21.
Diagonals are congruent in all  ________.
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
22.
Diagonals are perpendicular in all  ________.
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
23.
The fact that diagonals are ⊥ means this shape is a  ________.
a)
quadrilateral
b)
rectangle
c)
rhombus
d)
parallelogram
24.
The fact that diagonals bisect the opposite angles means this shape is a  ________.
a)
quadrilateral
b)
rectangle
c)
rhombus
d)
parallelogram
25.
BCDE is square.  Find m∠BFC
a)
45
b)
90
c)
180
d)
40
26.
A square is a rectangle.
a)
Always
b)
Sometimes
c)
Never
27.
A rhombus is a parallelogram.
a)
Always
b)
Sometimes
c)
Never
28.
A rectangle is a square.
a)
Always
b)
Sometimes
c)
Never
29.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
angle bisector
30.
If AG = 2x + 21 and RE = x + 10.5, 
what is NG?
a)
16
b)
8
c)
26.5
d)
10.5
31.
Find the missing length.
a)
9
b)
18
c)
4.5
d)
16
32.
Name the parallel segment.
a)
WY
b)
YX
c)
WX
d)
PN
33.
Find the missing length.
a)
12
b)
3
c)
24
d)
6
34.
Find the missing length.
a)
12
b)
48
c)
24
d)
18
35.
Find the missing length.
a)
x = 12
b)
x = 11
c)
x = 15
d)
x = 9
36.
The length of a midsegment between two sides of a triangle is ______ the length of the third side.
a)
equal to
b)
double
c)
half
d)

parallel to

37.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3
38.
Solve for x in the rectangle.
a)
25
b)
20
c)
30
d)
25/3
39.
  ABCD is a rectangle.  AB = 14, BC = 9, AC = 22.  Find BD.
a)
11
b)
14
c)
9
d)
22
40.

The diagonals of a rectangle are

a)

parallel

b)

congruent

c)

perpendicular

d)

not congruent

41.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
42.
ABCD is a rectangle.  m∠BCE = 4x-23 and m∠DCE = 5+5x.  Find m∠BEC. 
a)
25
b)
12
c)
130
d)
32
43.

Which of the following is true about the diagonals of a rectangle? Select all that are true.

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Diagonal are perpendicular

d)

Diagonals bisect the angles

44.

In a rectangle, consecutive angles are supplementary.

a)

True

b)

False

45.

In a rectangle, all angles are congruent.

a)

True

b)

False

46.
______ rectangles are parallelograms.
a)
All
b)
Some
c)
No
47.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
48.
A rhombus is a parallelogram with 
a)
four congruent sides
b)
four congruent diagonals
c)
four acute angles
d)
four congruent angles
49.
The diagonals of a rhombus are
a)
parallel
b)
congruent
c)
perpendicular
d)
equal to the side lengths
50.
Given Rhombus TUVW. Find m∠2.
a)
62
b)
28
c)
90
d)
78
51.
Given Rhombus TUVW. Find m∠4.
a)
62
b)
28
c)
90
d)
78
52.
The figure is a rhombus.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
53.
True/False:  Every rhombus is a square.
a)
True - they both have 4 equal sides
b)
True - the diagonals are perpendicular
c)
False - a rhombus CAN'T have 90 degree angles
d)
False - a rhombus won't always have 90 degree angles. 
54.
Find y.
a)
2
b)
4
c)
15
d)
10
55.
If BA=5x+5 and AD=10x-20, find BD.
a)
60
b)
30
c)
5
d)
10
56.
Solve for the variables.
a)
m=68, n=70
b)
m=35, n=70
c)
m=35, n=110
d)
m=68, n=110
57.
TUVW is a rhombus.  Find m∠3.
a)
62
b)
28
c)
90
d)
78
58.
All rectangles are squares.
a)
True
b)
False
59.
All squares are parallelograms.
a)
True
b)
False
60.
All squares are rhombuses.
a)
True
b)
False
61.
All rhombuses are squares.
a)
True
b)
False
62.
A square has all the properties of a
a)
parallelogram
b)
rectangle
c)
rhombus
d)
parallelogram, rectangle, and rhombus
63.
The diagonals of a square 
a)
form two 45° angles at each vertex
b)
form two 40° angles at each vertex
c)
form two 35° angles at each vertex
d)
form two 50° angles at each vertex
64.
The diagonals of a square are
a)
parallel
b)
congruent
c)
perpendicular
d)
congruent and perpendicular
65.
Diagonals bisect the angles of a Square
a)
True
b)
False
66.
a)
90
b)
45
c)
30
d)
180
67.

MNKL is a square. Find the measure of angle MKN.

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

68.
A square is a parallelogram with...(read all options before selecting)
a)
four right angles
b)
four congruent sides
c)
four right angles and four congruent sides
d)
none of the above