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Assessment: Lesson 6-4 to Lesson 6-6

Total questions: 84

Worksheet time: 4hrs 41mins

Name
Class
Date
1.
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
2.
The diagonals of a parallelogram always ... 
a)
are congruent
b)
are perpendicular
c)
bisect each other
d)
are parallel
3.
In a parallelogram, opposite angles are ________.
a)
congruent
b)
supplementary
c)
consecutive
d)
parallel
4.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
5.
a)
x = 40 , y = 40 
b)
x = 30, y = 30
c)
x = 40, y = 30
d)
x = 30, y = 40
6.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
7.
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
8.
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
9.
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
10.
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
11.

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

12.

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

13.

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

14.

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

15.

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

16.

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

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

17.

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

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

18.

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

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

19.

Which quadrilateral(s) have consecutive angles that are supplementary?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

20.

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

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

21.

Which quadrilateral(s) have four congruent sides?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

22.

Which quadrilateral(s) have perpendicular diagonals?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

23.

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

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

24.

Which quadrilateral(s) have four right angles?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

25.

Which quadrilateral(s) have diagonals that are congruent?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

26.

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

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

27.

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

a)

Similar

b)

Equal

c)

Parallel

d)

Perpendicular

28.

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.

29.
A rhombus has all of the properties of a 
a)
Parallelogram
b)

Trapezoid

c)
Kite
d)
Square
30.
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
31.

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

a)

60 

b)

45

c)

90

d)

180

32.
Which quadrilateral is also considered a rhombus, rectangle, and parallelogram?
a)
Trapezoid
b)
Triangle
c)
Square
d)
Hexagon
33.
Classify the quadrilateral in as many ways as possible.
a)
quadrilateral, parallelogram
b)
rectangle
c)
quadrilateral,parallelogram, rectangle
d)
quadrilateral,parallelogram, rectangle, square
34.

Which describes a rhombus?

a)

has all right angles

b)

has all acute angles

c)

has all equal sides

d)

has all obtuse angles

35.

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.

36.

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

a)
b)
c)
d)
37.
A rectangle is ______ a square
a)
Sometimes
b)
Always
c)
Never
38.
Find the measure of angle 2
a)
54
b)
108
c)
72
d)
36
39.
Find the measure of angle 1
a)
54
b)
108
c)
72
d)
36
40.

Find the value of x.

a)

x = 50

b)

x = 40

c)

x = 30

d)

x = 90

41.

Find the value of x.

a)

x = 1

b)

x = 3

c)

x = 2

d)

x = 0

42.

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

a)

180 degrees

b)

90 degrees

c)

60 degrees

d)

45 degrees

43.

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

a)

14

b)

32

c)

48

d)

16

44.
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. 
45.
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. 
46.
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. 
47.

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

a)

congruent

b)

parallel

c)

diagonals

d)

supplementary

48.

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

a)

congruent

b)

parallel

c)

diagonals

d)

supplementary

49.

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

50.
Is there enough information to determine that this quadrilateral is a parallelogram?
a)
yes
b)
no
51.

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

52.

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

53.

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

54.

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

(a)  

55.

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

56.

Which of the following are parallelograms?

a)
b)
c)
d)
57.

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.

58.

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

(a)  

59.

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

60.

Find the value of z.

(a)  

61.

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.

62.

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

63.

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

64.

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

65.

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

66.

Solve for x.

a)

x = 13

b)

x = 15

c)

x = 70

d)

x = 10

67.

Solve for y.

a)

x = 13

b)

x = 15

c)

x = 17

d)

x = 10

68.

Is the quadrilateral a parallelogram?

a)

Yes

b)

No

c)

Not enough information.

69.

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. 

70.

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

71.

How long is the side CD?

a)

7

b)

3

c)

35

d)

27

72.

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

a)

yes

b)

no

73.

Find m∠FHJ.

a)

70

b)

82

c)

152

d)

28

74.

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

a)

29

b)

42

c)

78

d)

11

75.

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

a)

5

b)

35

c)

75

d)

55

76.

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

a)

4

b)

6

c)

8

d)

10

77.

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

a)

41

b)

12

c)

14

d)

This quadrilateral cannot be a parallelogram.

78.

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

a)

5

b)

35

c)

75

d)

180

79.

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

(a)  

80.

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

(a)  

81.

Can you show that this quadrilateral is a parallelogram?

a)

Yes

b)

No

82.

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

83.

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

84.

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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