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Parallelograms

Total questions: 70

Worksheet time: 14hrs 44mins

Name
Class
Date
1.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
2.
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
3.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
4.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
5.
In a parallelogram, diagonals are __________.
a)
perpendicular
b)
bisected
c)
congruent
d)
parallel
6.
Which shape is NOT a type of parallelogram?
a)
trapezoid
b)
rectangle
c)
rhombus
d)
square
7.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
8.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
9.
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
10.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
5
11.
A rhombus is a parallelogram.
a)
Always
b)
Sometimes
c)
Never
12.
A square is a rectangle.
a)
Always
b)
Sometimes
c)
Never
13.

What is the sum of the degrees of the interior angles of a 19-gon?

a)

3420 degrees

b)

3060 degrees

c)

3780 degrees

d)

3530 degrees

14.

If the sum of the interior angles of a polygon is 1800°, how many sides does it have?


*Hint* - Use your equation, but plug your value for S in and now solve for n.

a)

10 sides/ Decagon

b)

12 sides/ 12-gon

c)

8 sides/ Octagon

d)

11 sides/ 11-gon

15.

What the measure of the missing angle X?

(a)  

16.

What is the measure of an interior angle of a regular 15-gon?

(a)  

17.

What is the value of x?


*Hint* This is a regular polygon because all of the sides are marked as congruent. So to solve you need to find the value of each angle, then set that equal to 16x + 23.

(a)  

18.

What is the measure of each exterior angle of a regular decagon (10 sides) ?


*Hint* Regular means all of the sides and all of the angles are equal, including the exterior angles.

(a)  

19.

What is the value of x?


*Hint* You need to add the values together and set them equal to the sum of the exterior angles.

(a)  

20.

If PQRS is a parallelogram, find the value of x.


*Hint* Remember that in parallelograms, opposites sides are congruent.

(a)  

21.

If PQRS is a parallelogram, find the value of y.


*Hint* Remember that in parallelograms, consecutive angles are supplementary.

(a)  

22.
Which is true about parallelograms?
a)
Opposite sides are congruent
b)
Diagonals are congruent
c)
Consecutive angles are congruent
d)
The interior angles add to 180 degrees
23.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
24.
______ parallelograms are quadrilaterals.
a)
All
b)
Some
c)
No
25.
Which quadrilateral has 4 right angles, 2 sets of parallel sides, and all of its' sides are the same length?
a)
Triangle
b)
Rhombus
c)
Rectangle
d)
Square
26.
LMNO is a parallelogram
solve for X
a)
19
b)
20
c)
33
d)
53
27.
What are the values of x, y, and z?
a)
x=145, y=145,z=145
b)
x=145, y=35, z=35
c)
x=35,y=145, z=35
d)
x=35, y=35, z=145
28.
a)

7

b)

8

c)

14

d)

23

29.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
30.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
1
c)
5
d)
2
31.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
8
c)
2
d)
6
32.
The figure is a parallelogram.  
Solve for x.  
a)
3
b)
2
c)
1
d)
7
33.
Find the measure of angle E.
a)
9°
b)
97°
c)
48°
d)
79°
34.
Parallelograms are ...
a)
triangles
b)
quadrilaterals
c)
pentagons
d)
hexagons
35.
In a parallelogram, diagonals __________.
a)
are perpendicular
b)
bisect each other
c)
are congruent
d)
are parallel
36.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
3
37.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
5
38.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
39.
The figure is a parallelogram.  
Solve for x.  
a)
0
b)
6
c)
5
d)
9
40.
The figure is a parallelogram.  
Solve for x.  Hint: What can you do to FU to make it equal to WU? Then write and equation and solve
a)
9
b)
4
c)
8
d)
2
41.
The figure is a parallelogram.  
Solve for x.  Hint: What can you do to EA to make it equal to AC? Then write and equation and solve
a)
5
b)
7
c)
12
d)
2
42.
BCDE is square.  Find CE.
a)
40
b)
90
c)
80
d)
20
43.
BCDE is square.  Find m∠BEF
a)
45
b)
90
c)
180
d)
40
44.
Find y.
a)
2
b)
4
c)
15
d)
10
45.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
46.
In a parallelogram, diagonals __________.
a)
are perpendicular
b)
bisect each other
c)
are congruent
d)
are parallel
47.

Which theorem shows that the quadrilateral is a parallelogram?

a)

Parallelogram Diagonals Converse

b)

Parallelogram Opposite Sides Converse

c)

Parallelogram Opposite Angles Converse

d)

Opposite Sides Parallel and Congruent Theorem

48.
State which method we can use to show that the quadrilateral is a parallelogram. 
a)
Both pairs of opposite angles are congruent.
b)
Both pairs of opposite sides are congruent.
c)
Both pairs of diagonals bisect each other.
d)
Both pairs of opposite sides are parallel. 
49.

Is there enough information to determine that this quadrilateral is a parallelogram?

a)

yes, all opposite sides are congruent

b)

yes, opposite angles are congruent

c)

yes, opposite sides are parallel

d)

yes, consecutive interior angles are supplementary

50.

The opposite sides and opposite angles of a parallelogram are...

a)

congruent

b)

supplementary

c)

perpendicular

d)

not congruent

51.
How do you find the length of the side of a parallelogram?
a)
Use the distance formula
b)
Use the slope formula
c)
Use the midpoint formula
52.
How do you prove two lines are parallel?
a)
Use the distance formula
b)
Use the midpoint formula
c)
Use the slope formula and show the slopes are the same
d)
Use the slope formula and show the slopes are opposite reciprocals
53.

The figure PQRS is a parallelogram. What is the value of x? (Remember: Consecutive angles are supplementary)

a)

72

b)

74

c)

76

d)

78

54.

All figures given are parallelograms EXCEPT for?

a)
b)
c)
d)
55.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
56.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

57.

Find the measurement indicated in each parallelogram.

a)

A

b)

B

c)

C

d)

D

58.
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
59.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
60.

Which figure does not appear to be a parallelogram?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

61.

If the sum of the interior angles of a polygon is 1800°, how many sides does it have?


*Hint* - Use your equation, but plug your value for S in and now solve for n.

a)

10 sides/ Decagon

b)

12 sides/ 12-gon

c)

8 sides/ Octagon

d)

11 sides/ 11-gon

62.

What is the sum of the degrees of the interior angles of a 19-gon?

a)

3420 degrees

b)

3060 degrees

c)

3780 degrees

d)

3530 degrees

63.

What the measure of the missing angle X?

(a)  

64.

What is the measure of an interior angle of a regular 15-gon?

(a)  

65.

What is the value of x?


*Hint* This is a regular polygon because all of the sides are marked as congruent. So to solve you need to find the value of each angle, then set that equal to 16x + 23.

(a)  

66.

What is the measure of each exterior angle of a regular decagon (10 sides) ?


*Hint* Regular means all of the sides and all of the angles are equal, including the exterior angles.

(a)  

67.

What is the value of x?


*Hint* You need to add the values together and set them equal to the sum of the exterior angles.

(a)  

68.

If PQRS is a parallelogram, find the value of x.


*Hint* Remember that in parallelograms, opposites sides are congruent.

(a)  

69.

If PQRS is a parallelogram, find the value of y.


*Hint* Remember that in parallelograms, consecutive angles are supplementary.

(a)  

70.

Thanks for checking in today!

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