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Geo Test 9 Review: Quadrilaterals

Total questions: 97

Worksheet time: 3hrs 52mins

Name
Class
Date
1.

A square is...

a)

a rhombus, rectangle, parallelogram, and quadrilateral

b)

only a rhombus

c)

only a rectangle

d)

only a trapezoid

2.

A rectangle is a quadrilateral with...

a)

4 equal sides

b)

2 pairs of parallel sides

c)

4 right angles AND two pairs of parallel lines

d)

4 right angles

3.

A parallelogram is a quadrilateral with...

a)

2 pairs of parallel sides

b)

1 pair of parallel sides

c)

4 right angles

d)

4 equal sides

4.

a trapezoid is a quadrilateral with...

a)

2 pairs of parallel sides

b)

4 right angles

c)

4 equal sides

d)

1 pair of parallel sides

5.

a rhombus is a quadrilateral with...

a)

1 pair of parallel sides

b)

2 pairs of parallel sides AND 4 equal sides

c)

2 pairs of parallel lines

d)

4 equal sides

6.

Give the specific name for this quadrilateral

a)

square

b)

rectangle

c)

rhombus

d)

trapezoid

7.

Give the specific name for this quadrilateral

a)

rectangle

b)

trapezoid

c)

parallelogram

d)

square

8.

Give the specific name for this quadrilateral

a)

rectangle

b)

square

c)

rhombus

d)

trapezoid

9.

Give the specific name for this quadrilateral

a)

rectangle

b)

square

c)

parallelogram

d)

trapezoid

10.

Which shape is NOT an example of a parallelogram?

a)
b)
c)
d)
11.

How many sides does a Quadrilaterals have?

a)

4

b)

5

c)

3

d)

6

12.

How many angles can be formed in a Quadrilateral?

a)

6 angles

b)

5 angles

c)

3 angles

d)

4 angles

13.

Which is true about parallelograms?

a)

Opposite sides are congruent and parallel

b)

Diagonals are congruent

c)

Consecutive angles are congruent

d)

The interior angles add to 180 degrees

14.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
15.
In a parallelogram, diagonals __________.
a)
are perpendicular
b)
bisect each other
c)
are congruent
d)
are parallel
16.

Find the area of the parallelogram.

a)

42

b)

21

c)

84

d)

Impossible to determine with the information given.

17.

Find the area of the parallelogram.

a)

80

b)

90

c)

720

d)

40

18.
Find the missing measure of the parallelogram. 
HEIGHT = 20 feet
AREA = 120 feet2
a)
10 feet
b)
6 feet
c)
8 feet 
d)
12 feet
19.
What is the area?
a)
56 square cm
b)
28 square cm
c)
32 square cm
d)
19 square cm
20.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
21.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
1
c)
5
d)
2
22.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
23.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
3
24.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
25.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
8
c)
2
d)
6
26.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
5
27.
The figure is a parallelogram.  
Solve for x.  
a)
0
b)
6
c)
5
d)
9
28.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
29.
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
30.
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
31.

Which line, that "opposite side" with line AD

a)

Line AB

b)

Line DC

c)

Line BC

d)

Line CD

32.

Which angle, that "apposite angle" with angle DCB

a)

Angle DAB

b)

Angle ABC

c)

Angle ADC

d)

Angle BCD

33.

The formula to find area of rhombus is ...

a)

Area = ( d1 + d2 )2Area\ =\ \frac{\text{( d1 + d2 )}}{2}

b)

Area = ( d1 x d2 )2 Area\ =\ \text{}\frac{\text{( d1 x d2 )}}{2}\

c)

Area = ( d1 + d2 )4Area\ =\ \frac{\text{( d1 + d2 )}}{\text{4}}

d)

Area = ( d1 x d2 )4Area\ =\ \frac{\text{( d1 x d2 )}}{4}

34.

What is the area of rhombus, if rhombus have d1 = 16 cm, and d2 = 12.

a)

Area = 4 cm2

b)

Area = 28 cm2

c)

Area = 192 cm2

d)

Area = 96 cm2

35.

The figure is a rhombus. Solve for x.

a)

1

b)

7

c)

6

d)

11

36.

If m∠CBE is 54° what is the m∠CDB?

a)

54°

b)

27°

c)

108°

d)

90°

37.

If BA=5x+5 and AD=10x-20, find BD.

a)

60

b)

5

c)

30

d)

10

38.

Find the value of x if m∠CDA = 9x+3 and m∠EDA = 6x+15

a)

6

b)

4

c)

57

d)

39

39.

Find the values of x that makes the parallelogram a rhombus.

a)

5

b)

10

c)

15

d)

25

40.

Given Rhombus TUVW. Find m∠1.

a)

62

b)

90

c)

28

d)

56

41.

Which of the following will always have four congruent sides?

a)

Square

b)

Rhombus

c)

Rectangle

d)

Paralleogram

42.

Which of the following will always have four congruent angles?

a)

Square

b)

Rhombus

c)

Rectangle

d)

Parallelogram

43.

True or False: A square is a rectangle.

a)

True

b)

False

44.

True or False: A rectangle is a square.

a)

True

b)

False

45.

True or False: A rhombus is a parallelogram.

a)

True

b)

Fase

46.

True or False: A square is not a parallelogram.

a)

True

b)

False

47.

True or False: A trapezoid is a parallelogram.

a)

True

b)

False

48.

True or False: A square is a rhombus, but not a rectangle.

a)

True

b)

False

49.

True or False: The opposite sides of a rhombus are congruent.

a)

True

b)

False

50.

Select if the statement is Always, Sometimes, or Never true: The diagonals of a rectangle are congruent.

a)

Always

b)

Sometimes

c)

Never

51.

True or False: The diagonals of a rhombus bisect each angle.

a)

True

b)

False

52.

Select if the statement is Always, Sometimes, or Never true: The diagonals of a rectangle bisect each angle.

a)

Always

b)

Sometimes

c)

Never

53.

Select if the statement is Always, Sometimes, or Never true: A parallelogram is equiangular.

a)

Always

b)

Sometimes

c)

Never

54.

Select if the statement is Always, Sometimes, or Never true: The diagonals of a square are perpendicular.

a)

Always

b)

Sometimes

c)

Never

55.

Select if the statement is Always, Sometimes, or Never true: The diagonals of a rhombus are perpendicular.

a)

Always

b)

Sometimes

c)

Never

56.

Select if the statement is Always, Sometimes, or Never true: A parallelogram is a quadrilateral.

a)

Always

b)

Sometimes

c)

Never

57.

True or False: The diagonals of a parallelogram sometimes bisect each other.

a)

True

b)

False

58.

True or False: The quadrilateral is definitely a parallelogram.

a)

True

b)

False

59.

True or False: The quadrilateral is definitely a parallelogram.

a)

True

b)

False

60.

True or False: The quadrilateral is definitely a parallelogram.

a)

True

b)

False

61.

True or False: The quadrilateral is definitely a parallelogram.

a)

True

b)

False

62.
Find the measure of angle 2
a)
54
b)
108
c)
72
d)
36
63.
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
64.
Find the measure of angle 1
a)
54
b)
108
c)
72
d)
36
65.

Find the perimeter of the rhombus.

a)

72 units

b)

96 units

c)

7 units

d)

28 units

66.

Find the value of x.

a)

x = 50

b)

x = 40

c)

x = 30

d)

x = 90

67.

Find the value of x.

a)

x = 1

b)

x = 3

c)

x = 2

d)

x = 0

68.

Classify the quadrilateral using the most specific name.

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

69.

Using the properties of the special parallelogram, solve for x and y.

a)

x = 2, y = 1

b)

x = 2, y = 0

c)

x = 1, y = 1

d)

x = 1, y = 0

70.

Classify the quadrilateral using the most specific name.

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

71.

Using the properties of the special parallelogram, solve for x and y.

a)

x = 27, y = 4

b)

x = 27, y = 1

c)

x = 64, y = 4

d)

x = 64, y = 1

72.
Parallelograms are ...
a)
triangles
b)
quadrilaterals
c)
pentagons
d)
hexagons
73.
The figure is a parallelogram.  
Solve for x.  
a)
0
b)
6
c)
5
d)
9
74.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
10
c)
4
d)
3
75.
LMNO is a parallelogram
solve for X
a)
19
b)
20
c)
33
d)
53
76.
Figure A is a...
a)
Rectangle
b)
Square
c)
Rhombus
77.
Figure B is a...
a)
Rectangle
b)
Square
c)
Rhombus
78.
Find the measure of DG.
79.
Find the value of x.
80.
Find the value of x.
81.

Classify the special quadrilateral using the most precise definition by matching each to its correct term.

a)
1.

parallelogram

b)
2.

rhombus

c)
3.

square

d)
4.

trapezoid

e)
5.

rectangle

82.

Find the value of y given the trapezoid TRAP.

83.

Find the value of x given the trapezoid TRAP.

84.

Find the length of the midsegment of trapezoid ABCD.

85.

Find the value of each variable in the parallelogram.

c=​ (a)  

d=​​ (b)  

Choose from the below words
6
10
4
11
14
25
9
12
20
5
86.

State which theorem you can use to show that the quadrilateral is a parallelogram.​

​ (a)  

Choose from the below words
Parallelogram Opposite Sides Converse
Parallelogram Opposite Angles Converse
Opposite Sides Parallel and Congruent Theorem
Parallelogram Diagronals Converse
Opposite Sides Parallel and Congruent Theorem
Definition of a Parallelogram
87.

State which theorem you can use to show that the quadrilateral is a parallelogram.​

​ ​ (a)  

Choose from the below words
Parallelogram Diagonals Converse
Parallelogram Opposite Sides Converse
Parallelogram Opposite Angles Converse
Opposite Sides Parallel and Congruent Theorem
Definition of a Parallelogram
88.

State which theorem you can use to show that the quadrilateral is a parallelogram.​

​ ​ ​ (a)  

Choose from the below words
Parallelogram Opposite Angles Converse
Parallelogram Opposite Sides Converse
Opposite Sides Parallel and Congruent Theorem
Definition of a Parallelogram
Parallelogram Diagonals Converse
89.

Find the values of x and y that make

the quadrilateral a parallelogram.

​ ​ x=​ (a)  

y=​ (b)  

Choose from the below words
1
6
2
3
4
5
7
8
9
10
90.

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

91.
According the the definition of a kite, "A kite is a quadrilateral with..."
a)
2 pairs of OPPOSITE congruent sides.
b)
2 pairs of CONSECUTIVE congruent sides.
c)
4 congruent sides.
d)
congruent diagonals.
92.

In a kite, one pair of opposite angles are congruent.

a)

Yes!

b)

No.

93.

In a kite, BOTH diagonals are bisected.

a)

Yes!

b)

No.

94.

Kite ABCD is shown.

If AC = 44, what is EC?

a)

44

b)

11

c)

88

d)

22

95.

Find the area of a kite with diagonals that are 6 inches and 8 inches long.

a)

48 square inches

b)

24 square inches

c)

20 square inches

d)

14 square inches

96.

Kite LMNO is shown.

Solve for x.

a)

40

b)

20

c)

90

d)

10

97.

Kite LMNO is shown.

Find the measure of angle P

a)

90

b)

180

c)

60

d)

75