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Worksheets

Special Parallelograms

Total questions: 101

Worksheet time: 34mins

Name
Class
Date
1.

Classify the quadrilateral (give the most specific name)

a)

Parallelogram

b)

Square

c)

Rectangle

d)

Rhombus

2.

Classify the quadrilateral (give the most specific name)

a)

Parallelogram

b)

Square

c)

Rectangle

d)

Rhombus

3.

Classify the quadrilateral (give the most specific name)

a)

Parallelogram

b)

Square

c)

Rectangle

d)

Rhombus

4.

Classify the quadrilateral (give the most specific name)

a)

Parallelogram

b)

Square

c)

Rectangle

d)

Rhombus

5.

Name the quadrilateral

a)

Parallelogram

b)

rhombus

c)

rectangle

d)

square

6.

classify the quadrilateral

a)

Parallelogram

b)

rhombus

c)

rectangle

d)

square

7.

Classify the quadrilateral

a)

parallelogram

b)

rectangle

c)

rhombus

d)

square

8.

Classify the quadrilateral

a)

parallelogram

b)

rhombus

c)

rectangle

d)

square

9.
Which quadrilateral is also considered a rhombus, rectangle, and parallelogram?
a)
Trapezoid
b)
Triangle
c)
Square
d)
Hexagon
10.
Which quadrilateral has all right angles and all sides the same length?
a)
Rhombus
b)
Parallelogram
c)
Square
d)
Trapezoid
11.
A square can also be called a rectangle and a rhombus.
a)
True
b)
False
12.
All rectangles are parallelograms. 
a)
True
b)
False
13.
Which two figures can always be described as quadrilaterals with all sides congruent?
a)
square and rhombus
b)
square and rectangle
c)
rhombus and parallelogram
d)
rectangle and parallelogram
14.
I have 4 90angles and 4 sides of equal length, what am I?
a)
a square
b)
a rectangle
c)
a kite
d)
a rhombus
15.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
16.

Identify the shape

- two sets of parallel sides

- 4 congruent sides

- opposite angles congruent

- diagonals are perpendicular bisectors of each other (intersect at 90 degrees)

-Diagonals are not congruent

a)

Paralellorgram

b)

Square

c)

Quadrilateral

d)

Rhombus

17.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
18.
In a parallelogram, diagonals __________.
a)
are perpendicular
b)
bisect each other
c)
are congruent
d)
are parallel
19.
In a rhombus, all four sides are ___________.
a)
congruent
b)
parallel
c)
perpendicular
d)
unequal
20.
What does it mean if diagonals are perpendicular (⊥)?
a)
They bisect the vertex
b)
Where they intersect is a 90˚ angle
c)
They are equal
d)
They cross
21.
Figure A is a...
a)
Rectangle
b)
Square
c)
Rhombus
22.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
23.
Figure B is a...
a)
Rectangle
b)
Square
c)
Rhombus
24.
Find m∠2.
a)
62
b)
28
c)
90
d)
78
25.
Find m∠4.
a)
62
b)
28
c)
90
d)
78
26.

FILL IN:

A parallelogram has both pairs of opposite sides ____________.

a)

Parallel

b)

Congruent

c)

Parallel and Congruent

27.

CHECK ALL THAT APPLY:

All angles are right angles.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

28.

CHECK ALL THAT APPLY:

The lengths of the diagonals are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

29.

CHECK ALL THAT APPLY:

All sides are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

30.

TRUE OR FALSE:

Squares, rhombuses, and rectangles are considered parallelograms.

a)

True

b)

False

31.

TRUE OR FALSE:

A square is considered a rectangle.

a)

True

b)

False

32.

TRUE OR FALSE:

A parallelogram is always a rectangle.

a)

True

b)

False

33.

TRUE OR FALSE:

A square is considered a rhombus.

a)

True

b)

False

34.
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
35.
Name the following shape: 
a)
Rhombus
b)
Rectangle
c)
Square
36.
Find the measure of angle 2
a)
68
b)
22
c)
136
d)
44
37.
HIJK is a rectangle. Find the value of length of each diagonal.
HJ = 3x + 5  and IK = 5x - 9 
a)
7
b)
14
c)
26
d)
7/3
38.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
39.
The diagonals of a rhombus 
a)
never intersect
b)
bisect the opposite angles
c)
are congruent
d)
bisect the sides
40.
A parallelogram that is both a rhombus and a rectangle is called a __________.
a)
Quadrilateral
b)
Parallelogram
c)
Trapezoid
d)
Square
41.
ABCD is a rectangle.  m∠BCE = 4x-23 and m∠DCE = 5+5x.  Find m∠BCE. 
a)
25
b)
12
c)
130
d)
32
42.
In a rhombus, all four sides are congruent.
a)
True
b)
False
43.

In a rhombus, all angles are 90 degrees.

a)

True

b)

False

44.
In a rhombus, the diagonals are...
a)
parallel
b)
perpendicular
c)
congruent
d)
all of the above
45.

In a square, the diagonals...

a)

bisect the angles

b)

are perpendicular

c)

are congruent

d)

all of the above

46.
In a rectangle, diagonals are congruent
a)
True
b)
False
47.
a)

90

b)

45

c)

30

d)

180

48.

Which is true about opposite angles of a parallelogram?

a)

They're congruent.

b)

They're supplementary.

c)

They're complimentary.

d)

They have no relationship.

49.

Parallelograms are quadrilaterals.

a)

True

b)

False

50.

What is true about opposite sides of a parallelogram? Choose all that apply

a)

Opposite sides bisect each other.

b)

Opposites sides of a parallel.

c)

Opposite sides are congruent.

d)

Opposite sides are perpendicular.

51.

Which is always true about the diagonals of a parallelogram?

a)

They are perpendicular.

b)

They are congruent.

c)

They bisect each other

d)

Parallelograms don't have diagonals.

52.

Which of these are parallelograms? Select all that apply.

a)

Square

b)

Rectangle

c)

Kite

d)

Rhombus

e)

Trapezoid

53.

Which of these must have 4 right angles? Check all that apply

a)

Rectangle

b)

Square

c)

Rhombus

d)

Parallelogram

e)

Kite

54.

Which of these must have congruent diagonals? Check all that apply.

a)

Rectangle

b)

Square

c)

Rhombus

d)

Parallelogram

e)

Trapezoid

55.

Which of these has diagonals that bisect opposite angles? Check all that apply.

a)

Parallelogram

b)

Trapazoid

c)

Rectangle

d)

Square

e)

Rhombus

56.
A quadrilateral with all congruent angles would best be described as a -?-
a)
square
b)
rectangle
c)
rhombus
d)
parallelogram
57.
A quadrilateral with all congruent sides would best be described as a -?-
a)
square
b)
rectangle
c)
rhombus
d)
parallelogram
58.
A quadrilateral opposite angles congruent would best be described as a -?-
a)
square
b)
rectangle
c)
rhombus
d)
parallelogram
59.
Diagonals are congruent in all -?-
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
60.
Diagonals are perpendicular in all -?-
a)
quadrilaterals
b)
rectangles
c)
rhombuses
d)
parallelograms
61.
BCDE is square.  Find CE.
a)
40
b)
90
c)
80
d)
20
62.
In a parallelogram, diagonals __________.
a)
are perpendicular
b)
bisect each other
c)
are congruent
d)
are parallel
63.
Parallelograms are ...
a)
triangles
b)
quadrilaterals
c)
pentagons
d)
hexagons
64.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
65.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
66.
Find the measure of angle 1 in the rhombus
a)
68
b)
22
c)
136
d)
44
67.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
68.
diagonals of a square are congruent 
a)
always true
b)
sometimes true
c)
never true
69.
Diagonals of a parallelogram bisect each other
a)
always true
b)
sometimes true
c)
never true
70.

A rhombus is a parallelogram with .........

a)

equal angles

b)

all right angles

c)

all equal sides

71.
Which statement explains why a rectangle is a parallelogram?
a)
They both are rhombuses.
b)
They are both quadrilaterals.
c)
They both have two pairs of parallel sides.
d)
They are both quadrilaterals with four right angles.
72.
Which name could be used to describe all parallelograms?
a)
quadrilateral
b)
rectangle
c)
regular
d)
square
73.
Which statement is not true?
a)
Every parallelogram is a rectangle.
b)
Every square is a parallelogram.
c)
Every square has two pairs of parallel sides.
d)
Every rectangle has four right angles.
74.
The diagonals of a rhombus 
a)
never intersect
b)
bisect the opposite angles
c)
are congruent
d)
bisect the sides
75.
Given Rhombus TUVW. Find m∠4.
a)
62
b)
28
c)
90
d)
78
76.
Given Rhombus TUVW. Find m∠2.
a)
62
b)
28
c)
90
d)
78
77.
A square has all the properties of a
a)
parallelogram
b)
rectangle
c)
rhombus
d)
parallelogram, rectangle, and rhombus
78.
A square has all the properties of a
a)
parallelogram
b)
rectangle
c)
rhombus
d)
parallelogram, rectangle, and rhombus
79.
The fact that diagonals are ⊥ means this shape is a  ________.
a)
quadrilateral
b)
rectangle
c)
rhombus
d)
parallelogram
80.

Diagonals of a rectangle are perpendicular.

a)

True

b)

False

81.

A rhombus has four right angles.

a)

True

b)

False

82.

All sides of a rhombus are congruent.

a)

True

b)

False

83.

Diagonals of a rectangle are congruent.

a)

True

b)

False

84.

Diagonals of a rectangle bisect the angles.

a)

True

b)

False

85.
Which quadrilateral has opposite sides parallel?
a)
Rectangle
b)
Rhombus
c)
Square
d)
All of these do
86.

Diagonals of a rhombus bisect the angles.

a)

True

b)

False

87.
Which quadrilateral always has four right angles?
a)
Parallelogram
b)
Rectangle
c)
Rhombus
d)
Trapezoid
88.
A rectangle is a parallelogram.
a)
always
b)
sometimes
c)
never
89.
Which quadrilateral has opposite sides parallel?
a)
Rectangle
b)
Rhombus
c)
Square
d)
All of these do
90.
A parallelogram is a rectangle.
a)
always
b)
sometimes
c)
never
91.
  ABCD is a rectangle.    AB = 14, BC = 9, AC = 22.  Find DC.
a)
14
b)
9
c)
11
d)
22
92.
ABCD is a rectangle.  AB = 14, BC = 9, AC = 22.  Find ED.
a)
11
b)
22
c)
14
d)
9
93.
Which of the following are NOT true about diagonals of a rhombus?
a)
they are perpendicular
b)
they bisect each other
c)
they are congruent
94.
Find the measure of angle 1
a)
54
b)
108
c)
72
d)
36
95.
A rectangle has all 4 congruent angles
a)
True
b)
False
96.

Name this figure in all possible ways.

a)

square

b)

square

rhombus

c)

quadrilateral

parallelogram

rhombus

d)

quadrilateral

parallelogram

square

97.

Name this figure in all possible ways.

a)

quadrilateral, rectangle

b)

quadrilateral, rectangle, square

c)

quadrilateral, parallelogram, rectangle

d)

quadrilateral, parallelogram, rectangle, square

98.

In the parallelogram, solve for the variables.

a)

m=68, n=70

b)

m=35, n=70

c)

m=35, n=110

d)

m=68, n=110

99.
Rhombus: Find the measure of ∠2:
a)
59°
b)
45°
c)
118°
d)
90°
100.
If m∠B is 54° what is the m∠CDB?
a)
54°
b)
27°
c)
108°
d)
36°
101.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3