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HW: Lesson 6-4 to 6-6 Review

Total questions: 113

Worksheet time: 4hrs 19mins

Name
Class
Date
1.

FILL IN:

A parallelogram has both pairs of opposite sides ____________.

a)

Parallel

b)

Congruent

c)

Parallel and Congruent

2.

FILL IN:

A parallelogram has both pairs of opposite angles _____________.

a)

Congruent

b)

Complementary

c)

Supplementary

3.

FILL IN:

Consecutive angles of a parallelogram are ________________.

a)

Congruent

b)

Supplementary

c)

Complementary

4.

CHECK ALL THAT APPLY:

All angles are right angles.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

5.

CHECK ALL THAT APPLY:

The lengths of the diagonals are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

6.

CHECK ALL THAT APPLY:

All sides are congruent.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

7.

CHECK ALL THAT APPLY:

Diagonals bisect the angles.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

8.

TRUE OR FALSE:

Squares, rhombuses, and rectangles are considered parallelograms.

a)

True

b)

False

9.

TRUE OR FALSE:

A square is considered a rectangle.

a)

True

b)

False

10.

TRUE OR FALSE:

A parallelogram is always a rectangle.

a)

True

b)

False

11.

TRUE OR FALSE:

A square is considered a rhombus.

a)

True

b)

False

12.

In order to show that a figure is a rectangle, you first have to prove it is a ....

a)

Square

b)

Parallelogram

c)

Quadrilateral

d)

Rhombus

13.

In order to show that a figure is a rhombus, you first need to prove it is a ...

a)

Quadrilateral

b)

Square

c)

Rectangle

d)

Parallelogram

14.

In order to show a figure is a square, you need to show it is a ...

a)

Rhombus

b)

Rectangle

c)

Parallelogram

d)

Parallelogram, Rhombus AND Rectangle

15.

Solve for a and b.

a)

a=7, b=4

b)

a=14, b=4

c)

a=7, b=8

d)

a=7, b=5

16.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

17.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

18.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

19.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

20.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

21.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

22.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

23.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

24.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

25.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

26.

Determine the property being used to solve the problem.

a)

Opposite SIDES are congruent

b)

Opposite ANGLES are congruent

c)

Consecutive angles are supplementary

d)

Diagonals bisect each other

27.
Find the measure of angle 4
a)
44
b)
68
c)
90
d)
136
28.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
29.
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
30.
Which quadrilateral has all the properties listed:
- All sides are congruent
- Opposite sides are parallel
- Opposite angles are congruent
-Sides are not perpendicular 
a)
Square
b)
Rectangle
c)
Trapezoid
d)
Rhombus
31.
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
32.
The diagonals of a parallelogram always ... 
a)
are congruent
b)
are perpendicular
c)
bisect each other
d)
are parallel
33.
In a parallelogram, opposite angles are ________.
a)
congruent
b)
supplementary
c)
consecutive
d)
parallel
34.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
35.
a)
x = 40 , y = 40 
b)
x = 30, y = 30
c)
x = 40, y = 30
d)
x = 30, y = 40
36.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
37.
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
38.
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
39.
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
40.
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
41.

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

42.

Is the quadrilateral a parallelogram? If yes, state how you know.

a)

Opposite sides parallel

b)

Opposite sides equal

c)

One pair of opposite sides are parallel AND equal

d)

Not enough info

43.

What are the properties of a parallelogram?

a)

Opposite sides are parallel

b)

Diagonals are congruent

c)

Diagonals bisect each other

d)

All sides are congruent

e)

Consecutive angles are supplementary

44.

What are the properties of a rectangle?

a)

Four right angles

b)

Opposite sides are parallel

c)

Opposite sides are congruent

d)

Diagonals bisect each other

e)

Diagonals are congruent

45.

What are the properties of a Rhombus?

a)

All sides are congruent

b)

Diagonals are perpendicular

c)

Opposite angles are congruent

d)

One pair of parallel sides

e)

Consecutive angles are supplementary

46.

Which quadrilateral(s) have opposite sides that are parallel?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

47.

Which quadrilateral(s) have opposite sides that are congruent?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

48.

Which quadrilateral(s) have opposite angles that are congruent?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

49.

Which quadrilateral(s) have diagonals that bisect each other?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

50.

Which quadrilateral(s) have four congruent sides?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

51.

Which quadrilateral(s) have perpendicular diagonals?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

52.

Which quadrilateral(s) have diagonals that bisect opposite angles?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

53.

Which quadrilateral(s) have four right angles?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

54.

Which quadrilateral(s) have diagonals that are congruent?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

55.

Which quadrilateral(s) have one pair of parallel sides?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

56.

A rectangle is a parallelogram with four right angles and two pairs of ______ sides.

a)

Similar

b)

Equal

c)

Parallel

d)

Perpendicular

57.

Which of the following statements is false?

a)

Quadrilaterals have four sides.

b)

Squares are quadrilaterals.

c)

All squares are rectangles.

d)

All rectangles are squares.

58.
A rhombus has all of the properties of a 
a)
Parallelogram
b)

Trapezoid

c)
Kite
d)
Square
59.
Which statement is FALSE? 
A parallelogram _____________
a)
Has 2 sets of parallel sides
b)
Has diagonals that are perpendicular
c)
Has diagonals that bisect each other
60.

ABCD is a rhombus. What is the measure of angle AED? 

a)

60 

b)

45

c)

90

d)

180

61.
Which quadrilateral is also considered a rhombus, rectangle, and parallelogram?
a)
Trapezoid
b)
Triangle
c)
Square
d)
Hexagon
62.
Classify the quadrilateral in as many ways as possible.
a)
quadrilateral, parallelogram
b)
rectangle
c)
quadrilateral,parallelogram, rectangle
d)
quadrilateral,parallelogram, rectangle, square
63.

Which describes a rhombus?

a)

has all right angles

b)

has all acute angles

c)

has all equal sides

d)

has all obtuse angles

64.

Brayden is working on a report in which he will compare and contrast the different types of quadrilaterals. Which statement should NOT be included in his report?

a)

All rhombuses are squares.

b)

All squares are parallelograms.

c)

All squares and rectangles have opposite sides that are congruent.

d)

All parallelograms, rectangles, and squares have opposite angles that are congruent.

65.

Select all shapes where the sum of the angles is 360o

a)
b)
c)
d)
66.
A rectangle is ______ a square
a)
Sometimes
b)
Always
c)
Never
67.
Find the measure of angle 2
a)
54
b)
108
c)
72
d)
36
68.
Find the measure of angle 1
a)
54
b)
108
c)
72
d)
36
69.

Find the value of x.

a)

x = 50

b)

x = 40

c)

x = 30

d)

x = 90

70.

Find the value of x.

a)

x = 1

b)

x = 3

c)

x = 2

d)

x = 0

71.

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

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

72.

What are the lengths of LN and KM? Select all that apply.

a)

14

b)

32

c)

48

d)

16

73.
Which is not a method of proving quadrilaterals are parallelograms?
a)
Both pairs of opposite sides are congruent.
b)
Both pairs of opposite sides are parallel.
c)
Both pairs of opposite angles are congruent. 
d)
Consecutive angles are supplementary. 
74.
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. 
75.
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. 
76.

A quadrilateral is a parallelogram if... One pair of opposite sides is congruent and _______________

a)

congruent

b)

parallel

c)

diagonals

d)

supplementary

77.

A quadrilateral is a parallelogram if... One angle is ______________ to both consecutive angles

a)

congruent

b)

parallel

c)

diagonals

d)

supplementary

78.

Is this a parallelogram?

a)

Yes, both pairs of opposite sides are parallel

b)

Yes, both pairs of opposite sides are congruent

c)

Yes, both pairs of opposite angles are congruent

d)

Yes, one pair of sides is both congruent and parallel

e)

No

79.
Is there enough information to determine that this quadrilateral is a parallelogram?
a)
yes
b)
no
80.

Is this a parallelogram

a)

Yes, both pairs of opposite sides are parallel

b)

Yes, both pairs of opposite sides are congruent

c)

Yes, both pairs of opposite angles are congruent

d)

Yes, one pair of sides is both congruent and parallel

e)

No

81.

Is this a parallelogram

a)

Yes, both pairs of opposite sides are parallel

b)

Yes, both pairs of opposite sides are congruent

c)

Yes, both pairs of opposite angles are congruent

d)

Yes, one pair of sides is both congruent and parallel

e)

Yes, the diagonals bisect each other

82.

Is this a parallelogram

a)

Yes, both pairs of opposite sides are parallel

b)

Yes, both pairs of opposite sides are congruent

c)

Yes, both pairs of opposite angles are congruent

d)

Yes, one pair of sides is both congruent and parallel

e)

No

83.

Determine the value of x that would classify this quadrilateral as a parallelogram. 

(a)  

84.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x = 4, y = 3

b)

x = 3, y = -2

c)

x = 1, y = 4

d)

x = 3, y = 4

85.

Which of the following are parallelograms?

a)
b)
c)
d)
86.

Show that the quadrilateral is a parallelogram. Select all that apply.

a)

All of the angles are congruent.

b)

All of the side lengths are congruent.

c)

The opposite sides are parallel.

d)

The opposite sides are congruent.

87.

Find the value of x that makes the quadrilateral a parallelogram.

(a)  

88.

Which method will NOT prove the quadrilateral is a parallelogram.

a)

Show that a pair of sides are congruent and parallel.

b)

Show that both pairs of opposite sides are congruent

c)

Show that both pairs of opposite sides are parallel

d)

Show that a pair of sides are parallel

89.

Find the value of z.

(a)  

90.

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.

91.

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

92.

Determine whether the figure is a parallelogram. If so, state the reason.

a)

Yes, quadrilateral with 2 pairs of opposite sides ≅

b)

Yes, quadrilateral with 2 pairs of opposite angles ≅

c)

Yes, quadrilateral with diagonals bisecting each other

d)

not a parallelogram

93.

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

94.

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

95.

Solve for x.

a)

x = 13

b)

x = 15

c)

x = 70

d)

x = 10

96.

Solve for y.

a)

13

b)

15

c)

17

d)

10

97.

Is the quadrilateral a parallelogram?

a)

Yes

b)

No

c)

Not enough information.

98.

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. 

99.

Determine the value of x that would classify this quadrilateral as a parallelogram. (The expression are for the tick marks on the diagram). 

a)

x = 8

b)

x = 26

c)

x = 28

d)

x = 38

100.

How long is the side CD?

a)

7

b)

3

c)

35

d)

27

101.

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

a)

yes

b)

no

102.

Find m∠FHJ.

a)

70

b)

82

c)

152

d)

28

103.

Find the value of x that makes the quadrilateral a parallelogram.

a)

29

b)

42

c)

78

d)

11

104.

Find the value of x that makes the quadrilateral a parallelogram.

a)

5

b)

35

c)

75

d)

55

105.

Find the value of x that makes the quadrilateral a parallelogram.

a)

4

b)

6

c)

8

d)

10

106.

Find the value of x that makes the quadrilateral a parallelogram.

a)

41

b)

12

c)

14

d)

This quadrilateral cannot be a parallelogram.

107.

Find the value of x that makes the quadrilateral a parallelogram.

a)

5

b)

35

c)

75

d)

180

108.

Find the value of x that makes quadrilateral RSTU a parallelogram.

(a)  

109.

If HK=20pHK=20p  and JK=p+19JK=p+19  , find the value of p that makes quadrilateral GHJI a parallelogram.

(a)  

110.

Can you show that this quadrilateral is a parallelogram?

a)

Yes

b)

No

111.

Find the values of x and y that make the quadrilateral a parallelogram. #37

a)

x = 3, y = 2

b)

x = 25, y = 15

c)

x = 15, y = 25

d)

x = 113, y = 67

112.

Find the values of x and y that make the quadrilateral a parallelogram.

a)

x=12, y=20

b)

x=12, y=19.2

c)

x=20, y=12

d)

x=30, y=30

113.

If you wanted to prove that Quadrilateral ABCD is a Parallelogram, what would be the best piece of evidence to use?

a)

Length of AC = Length of BD, therefore Side AC is congruent to Side BD

b)

Length of AC = Length of BD, therefore Side AC is parallel to Side BD

c)

Slope of AC = Slope of BD, therefore Side AC is parallel to Side BD

d)

The Slopes of AC and BD are opposite reciprocals, therefore Side AC is parallel to Side BD

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