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Worksheets

Quadrilaterals and Parallelograms

Total questions: 40

Worksheet time: 2hrs 38mins

Name
Class
Date
1.
In order for ABCD to be a parallelogram, what must the value of x be?
a)
132
b)
66
c)
114
d)
48
2.
Determine the value of x and y that would classify this quadrilateral as a parallelogram. 
a)
x = 9 ; y = 16
b)
x = 16; y = 9
3.
Is there enough information to determine that this quadrilateral is a parallelogram?
a)
yes
b)
no
4.

Is this a parallelogram? How do we know?

a)

yes,opposite sides are congruent

b)

no we can not prove it is a parallelogram

c)

yes, one pair of sides are congruent and parallel

d)

yes, opposite sides are parallel

e)

yes, diagonals bisect each other

5.
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. 
6.
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. 
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.
Parallelograms are ...
a)
triangles
b)
quadrilaterals
c)
pentagons
d)
hexagons
10.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
11.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
12.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
13.
Find the measure of angle b.
a)
b = 51
b)
b = 129
14.
Name that shape.
a)
trapezoid
b)
quadrilateral
c)
parallelogram
d)
rhombus
15.
If a quadrilateral has 4 equal sides, then it is a square. 
a)
TRUE
b)
FALSE
16.
A trapezoid is a quadrilateral with exactly ONE set of parallel sides. 
a)
TRUE
b)
FALSE
17.
If a shape is a square, then it is also a rectangle and a rhombus.
a)
TRUE
b)
FALSE
18.
A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides. 
a)
trapezoid
b)
rhombus
c)
parallelogram
d)
rectangle
19.
Kate built a garden box with 4 sides.  It has two sets of parallel sides.  Which of the following shapes could her garden NOT be?
a)
rectangle
b)
trapezoid
c)
square
d)
parallelogram
20.
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.
21.

Which statement is NOT true?

a)

All rectangles are squares.

b)

All squares are parallelograms.

c)

Some quadrilaterals are trapezoids.

d)

Some parallelograms are rhombuses.

22.

This polygon is called a...

a)

heptagon

b)

octagon

c)

hexagon

d)

pentagon

23.

What is the measure of angle L?

a)

110°110\degree

b)

98°98\degree

c)

134°134\degree

d)

58°58\degree

24.

All parallelograms are quadrilaterals

a)

Always

b)

Sometimes

c)

Never

25.

All of the following are properties of parallelograms EXCEPT...

a)

all sides are congruent

b)

opposite sides are congruent

c)

opposite angles are congruent

d)

consecutive angles are supplementary

26.

BGEF is a parallelogram.

If BD = 10, then BE = ______

a)

5

b)

10

c)

15

d)

20

27.

BGEF is a parallelogram.

If GE = 32, then BF = ______

a)

8

b)

16

c)

32

d)

64

28.

Which conclusion can be drawn?

a)

All quadrilaterals are kites, but all kites are not quadrilaterals.

b)

All parallelograms are rhombi, but all rhombi are not parallelograms.

c)

All squares are parallelograms, but all parallelograms are not squares.

d)

All parallelograms are rectangles, but all rectangles are not parallelograms.

29.

A square, a rectangle, a trapezoid, and a rhombus all belong to which group of shapes?

a)

squares

b)

parallelograms

c)

quadrilaterals

d)

regular polygons

30.

How are a trapezoid and a rhombus alike?

a)

Both are parallelograms

b)

Both are quadrilaterals

c)

Both have four equal sides

d)

Both have only one pair of parallel sides

31.

Which shapes are parallelograms?

a)

rectangle, rhombus, square

b)

rectangle, square, trapezoid,

c)

square, trapezoid, triangle

d)

square, trapezoid, rhombus

32.

The most specific name for this quadrilateral is:

a)

quadrilateral

b)

parallelogram

c)

rectangle

d)

square

e)

rhombus

33.

The most specific name for this quadrilateral is:

a)

quadrilateral

b)

parallelogram

c)

rectangle

d)

square

e)

rhombus

34.

The most specific name for this quadrilateral is:

a)

quadrilateral

b)

parallelogram

c)

trapezoid

d)

kite

e)

rhombus

35.

The most specific name for this quadrilateral is:

a)

quadrilateral

b)

parallelogram

c)

trapezoid

d)

kite

e)

rhombus

36.

The most specific name for this quadrilateral is:

a)

quadrilateral

b)

parallelogram

c)

trapezoid

d)

kite

e)

isosceles trapezoid

37.

The most specific name for this quadrilateral is:

a)

quadrilateral

b)

parallelogram

c)

square

d)

rectangle

e)

rhombus

38.

The most specific name for this quadrilateral is:

a)

quadrilateral

b)

parallelogram

c)

square

d)

kite

e)

rhombus

39.

The most specific name for this quadrilateral is:

a)

quadrilateral

b)

parallelogram

c)

square

d)

kite

e)

rhombus

40.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel

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