WorksheetsSub May 9-10
Total questions: 155
Worksheet time: 5hrs 21mins
Name
Class
Date
1.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
2.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
3.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
4.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
5.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
9
b)
11
c)
0
d)
4
6.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
10
c)
4
d)
5
7.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
11
b)
10
c)
6
d)
2
8.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
3
b)
2
c)
1
d)
7
9.
How many degrees are in the missing angle?
a)
60
b)
114
c)
70
d)
360
10.
How many right angles does a square have?
a)
2
b)
4
c)
0
d)
1
11.
Find the value of missing angle ?
a)
180
b)
360
c)
80
d)
100
12.
PQRS is a parallelogram.
PT = 7. What is PR?
PT = 7. What is PR?
a)
3.5
b)
7
c)
14
d)
21.5
13.
In parallelogram ABCD, m∠BAD = 70°. What is m∠ADC?
a)
70
b)
110
c)
140
d)
180
14.
Parallelograms are ...
a)
triangles
b)
quadrilaterals
c)
pentagons
d)
hexagons
15.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
16.
The diagonals of a parallelogram always ...
a)
are congruent
b)
are perpendicular
c)
bisect each other
d)
are parallel
17.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
18.
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
19.
Which formula is used to find the sum of the interior angles of a polygon?
a)
180
b)
360
c)
(n-2)180
d)
n(n-3)/2
20.
Solve for x.
a)
100
b)
120
c)
125
d)
130
21.
Solve for x.
a)
60
b)
120
c)
85
d)
55
22.
Solve for the variables.
a)
m=5, n=12
b)
m=12, n=5
c)
m=7, n=6
23.
Solve for the variables.
a)
g=61, h=25
b)
g=60, h=9
c)
g=61, h=9
24.
Solve for the variables.
a)
d=126, z=28
b)
d= 84, z=28
c)
d=126, z=12
25.
In the diagram of parallelogram STUV, SV = x + 3 and TU = 4x - 3. What is the length of SV?
a)
5
b)
2
c)
7
d)
4
26.
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
27.
The diagonals of a parallelogram always ...
a)
are congruent
b)
are perpendicular
c)
bisect each other
d)
are parallel
28.
In a parallelogram, opposite angles are ________.
a)
congruent
b)
supplementary
c)
consecutive
d)
parallel
29.
a)
x = 23, y = 10
b)
x = 10, y = 23
30.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
31.
a)
x = 40 , y = 40
b)
x = 30, y = 30
c)
x = 40, y = 30
d)
x = 30, y = 40
32.
a)
x = 70, y = 80
b)
x = 70, y = 30
c)
x = 80, y = 70
d)
x = 80, y = 30
33.
a)
x = 30, y = 40
b)
x = 40, y = 30
c)
x = 40, y = 15
d)
x = 30, y = 30
34.
a)
1=30 , 2=82, 3=50
b)
1=32, 2=98 , 3=50
c)
1=30 , 2=98 , 3=50
d)
1=30 , 2=98 , 3=40
35.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
12
b)
4
c)
6
d)
2
36.
The figure is a parallelogram.
Solve for x.
Give a reason.
Solve for x.
Give a reason.
a)
2
b)
10
c)
11
d)
12
37.
In parallelogram CARS, m<C = 5x - 20 and m<A = 3x + 40. Find the value of x.
a)
15
b)
20
c)
30
d)
130
38.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
39.
In the diagram of parallelogram STUV, SV = x + 3, VU = 2x - 1, and TU = 4x - 3. What is the length of SV?
a)
5
b)
2
c)
7
d)
4
40.
a)
x = 9, y = 4
b)
x = 6, y = 4
c)
x = 6, y = 2
d)
x = 4, y = 2
41.
HIJK is a parallelogram
solve for Y
solve for Y
a)
20
b)
15
c)
60
d)
12
42.
Is this quadrilateral a parallelogram?
a)
Yes. Diagonals bisect each other
b)
no
c)
Yes. Opposite angles are congruent
d)
Yes. Opposite sides are congruent
43.
Is this quadrilateral a parallelogram? If so, give a reason.
a)
No
b)
Yes. Opposite sides are parallel
c)
Yes. Opposite sides are congruent
d)
Yes. Opposite angles are congruent
44.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite sides parallel
b)
Opposite angles equal
c)
Opposite sides equal and parallel
d)
Not enough info
45.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite sides equal
b)
Opposite sides parallel
c)
Diagonals bisect each other
d)
Not enough info
46.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite sides parallel
b)
Opposite sides equal
c)
Opposite sides parallel and equal
d)
Not enough info
47.
Is the quadrilateral a parallelogram? If yes, state how you know.
a)
Opposite sides parallel
b)
Opposite sides equal
c)
Opposite sides parallel and equal
d)
Not enough info
48.
Given parallelogram ABCD if
m∠A = 93 degrees then m∠C =
m∠A = 93 degrees then m∠C =
a)
87
b)
93
c)
cannot be determined
d)
5
49.
Given parallelogram ABCD
if AE = 5x - 8 , BE = 3x + 2 and CE = 2x + 10 then AC =
if AE = 5x - 8 , BE = 3x + 2 and CE = 2x + 10 then AC =
a)
6
b)
22
c)
12
d)
44
50.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
51.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
2
c)
0
d)
4
52.
Parallelograms are ...
a)
triangles
b)
quadrilaterals
c)
pentagons
d)
hexagons
53.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
54.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
55.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
56.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
9
b)
6
c)
10
d)
2
57.
Find the measure of angle b.
a)
b = 51
b)
b = 129
58.
Find the value of x and y.
a)
x = 4, y = 4
b)
x = 4, y = 116
c)
x = 3, y = 116
d)
x = 116, y = 116
59.
Find the value of j and k.
a)
j = 4.5, k = 2
b)
j = 4.5, k = 5
c)
j = 3, k = 10
d)
j = 5, k = 5
60.
According to the image, which property of parallelogram are they referring?
a)
Opposite sides are congruent
b)
Opposite angles are congruent
c)
Opposite sides are parallel
d)
Opposite angles are parallel
61.
In the picture, side AB must be congruent to which side?
a)
AE
b)
AD
c)
CD
d)
BC
62.
Find the value of x.
a)
360
b)
45
c)
135
d)
60
63.
How long is the side CD?
a)
7
b)
3
c)
35
d)
27
64.
What do we know about the diagonals of ALL parallelogram?
a)
They are congruent
b)
They bisect each other
c)
They are perpendicular to each other
d)
They are parallel to each other
65.
If AE = 5, how long is ED?
a)
5
b)
10
c)
25
d)
Not enough information given
66.
Find the value of f.
a)
-5
b)
15
c)
5
d)
20
67.
Find the values of both x and y.
a)
x = 4, y = 9
b)
x = 17, y = 12
c)
x = 6, y = 9
d)
x = 4, y = 12
68.
Find the length of CB.
a)
10
b)
32
c)
24
d)
30
69.
What's the measurement of angle G?
a)
20
b)
60
c)
24
d)
120
70.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
71.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
72.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
73.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
74.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
10
c)
4
d)
5
75.
Solve for g.
a)
g=61
b)
g=60
c)
g=65
76.
Solve for m.
a)
m=68
b)
m=170
c)
m=35
d)
m=72
77.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
78.
A _______________ is a quadrilateral with two sets of parallel sides.
a)
trapezoid
b)
parallelogram
c)
kite
d)
triangle
79.
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
80.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
81.
In a parallelogram, diagonals are __________.
a)
perpendicular
b)
bisected
c)
congruent
d)
parallel
82.
Find the measure of angle b.
a)
b = 51
b)
b = 129
83.
Find the measure of angle N.
a)
N = 95
b)
N = 85
84.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
85.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
1
c)
5
d)
2
86.
What does it mean when diagonals bisect each other?
a)
Diagonals are angle bisectors
b)
Each diagonal bisects the other & the diagonal is cut in half at the intersection
c)
To draw a diagonal line
87.
Which polygon is NOT a parallelogram?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
88.
Is this image a parallelogram?
a)
Yes
b)
No
89.
Is this image a parallelogram?
a)
Yes
b)
No
90.
Find the value of x.
a)
x=67
b)
x=77
c)
x=113
d)
x=57
91.
Find the value of x.
a)
x=134
b)
x=144
c)
x=56
d)
x=124
92.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
9
b)
3
c)
11
d)
1
93.
Determine if the quadrilateral must be a parallelogram. Justify your answer.
a)
Yes. Diagonals bisect each other.
b)
Yes. Opposite sides are parallel.
c)
Yes. One angle is supplementary to both consecutive angles.
d)
Not a parallelogram. No theorems apply.
94.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
95.
Solve for d.
a)
d=126
b)
d= 84
c)
d=105
96.
Opposite sides of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
97.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
98.
ABCD is a rectangle. AB = 14, BC = 9, AC = 22. Find ED.
a)
11
b)
22
c)
14
d)
9
99.
ABCD is a rectangle. AB = 14, BC = 9, AC = 22. Find AD.
a)
14
b)
22
c)
9
d)
11
100.
ABCD is a rectangle. m∠BCA = 58. Find m∠BAC.
a)
90
b)
58
c)
64
d)
32
101.
A quadrilateral with two pairs of parallel sides, 4 right angles, and 4 congruent (equal) sides is a __________________.
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
102.
The diagonals of a parallelogram always ...
a)
are congruent
b)
are perpendicular
c)
bisect each other
d)
are parallel
103.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
104.
Which formula is used to find the sum of the interior angles of a polygon?
a)
180
b)
360
c)
(n-2)180
d)
n(n-3)/2
105.
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
106.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
107.
Which of the following properties is true about parallelograms?
a)
Base angles are congruent.
b)
Diagonals are congruent.
c)
Opposite sides are parallel.
108.
Which of the following properties is true about rectangles?
a)
Four congruent sides.
b)
Four right angles.
c)
Diagonals bisect opposite angles.
109.
In a parallelogram, diagonals __________.
a)
are perpendicular
b)
bisect each other
c)
are congruent
d)
are parallel
110.
Diagonals are perpendicular in all ________.
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
111.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
112.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
113.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
9
b)
6
c)
10
d)
2
114.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
10
b)
3
c)
5
d)
12
115.
Solve for the variables.
a)
m=5, n=12
b)
m=12, n=5
c)
m=7, n=6
116.
Solve for the variables.
a)
g=61, h=25
b)
g=60, h=9
c)
g=61, h=9
117.
Find the measure of angle b.
a)
b=51
b)
b=129
118.
Find the measure of angle N.
a)
N=95
b)
N=85
119.
Solve for the variables.
a)
m=68, n=70
b)
m=35, n=70
c)
m=35, n=110
d)
m=68, n=110
120.
Solve for the variables.
a)
b=90, c=80, d=100
b)
b=90, c=90, d=110
c)
b=100, c=90, d=110
121.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
122.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
123.
3 angles of a quadrilateral are 110, 120 and 50. What is the measure of the 4th angle?
a)
60
b)
70
c)
80
d)
130
124.
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
125.
In the diagram of parallelogram STUV, SV = x + 3, VU = 2x - 1, and TU = 4x - 3. What is the length of SV?
a)
5
b)
2
c)
7
d)
4
126.
In parallelogram CARS, m<C = 5x - 20 and m<A = 3x + 40. Find the value of x.
a)
15
b)
20
c)
30
d)
130
127.
The opposite sides of a parallelogram are congruent.
a)
true
b)
false
c)
maybe
d)
sometimes
128.
The opposite angles of a parallelogram are not congruent.
a)
true
b)
false
c)
maybe
d)
sometimes
129.
What is the value of x?
a)
15
b)
18
c)
20
d)
60
130.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
131.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
2
c)
0
d)
4
132.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
1
c)
5
d)
2
133.
Given rectangle ABCD, where the diagonals intersect at point E, AC = 4x + 10 and BD = 5x - 20, find AE.
a)
30
b)
21
c)
65
d)
130
134.
ABCD is a rectangle. m∠BCE = 4x-23 and m∠DCE = 5+5x. Find m∠BEC.
a)
25
b)
12
c)
130
d)
32
135.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3
136.
Solve for x in the rectangle.
a)
25
b)
20
c)
30
d)
25/3
137.
Which of these properties is NOT a property of a rhombus?
a)
Diagonals bisect each other
b)
Diagonals are perpendicular
c)
Diagonals create angle bisectors of each angle
d)
Diagonals are congruent
138.
Find y.
a)
2
b)
4
c)
15
d)
10
139.
Find the measure of angle 4
a)
90
b)
22
c)
136
d)
44
140.
If m∠B is 54° what is the m∠CDB?
a)
54°
b)
27°
c)
108°
d)
36°
141.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
142.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
143.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
144.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
9
b)
11
c)
0
d)
4
145.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
10
c)
4
d)
5
146.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
11
b)
10
c)
6
d)
2
147.
Solve for the variables.
a)
x=15, y=9
b)
x=9, y=15
148.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
10
c)
4
d)
5
149.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
4
b)
12
c)
5
d)
2
150.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
151.
A _______________ is a quadrilateral with two sets of parallel sides.
a)
trapezoid
b)
parallelogram
c)
kite
d)
triangle
152.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
1
c)
5
d)
2
153.
Find the value of x.
a)
x=67
b)
x=77
c)
x=113
d)
x=57
154.
Find the value of x.
a)
x=134
b)
x=144
c)
x=56
d)
x=124
155.
The figure is a parallelogram.
Solve for x.
Give a reason.
Solve for x.
Give a reason.
a)
1
b)
10
c)
4
d)
3
100 %
