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GEOMETRY UNIT 8: QUADRILATERALS AND COORDINATE ALGEBRA

Total questions: 158

Worksheet time: 9hrs 55mins

Name
Class
Date
1.
a)
rectangle
b)
square
c)
rhombus
d)
trapezoid
2.
a)
rectangle
b)
parallelogram
c)
rhombus
d)
trapezoid
3.
a)
rectangle
b)
trapezoid
c)
parallelogram
d)
square
4.
a)
rectangle
b)
square
c)
rhombus
d)
trapezoid
5.

This quadrilateral is a

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Trapezoid

6.

This quadrilateral is a

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Trapezoid

7.

Choose all names that correctly describe this quadrilateral.

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

8.

All rectangles are parallelograms.

a)

True

b)

False

9.

All trapezoids are parallelograms.

a)

True

b)

False

10.
A trapezoid is a quadrilateral
a)
Sometimes
b)
Always
c)
Never
11.

Choose all names that correctly describe this quadrilateral.

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

12.

Choose all names that correctly describe this quadrilateral.

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

13.

Which of these statements is always correct?

a)

All rhombuses are squares.

b)

All squares are rhombuses.

14.

Choose all statements that are true.

a)

All squares have four equal sides and four right angles.

b)

A rectangle does not have to have four right angles.

c)

A rhombus has to have four right angles.

d)

A trapezoid has only one pair of parallel sides.

15.

What is the length of the bottom of this parallelogram?

a)

10 cm.

b)

6 cm.

c)

7 cm.

d)

17 cm.

16.

Which of these statements in NOT true?

a)

A square is a rhombus.

b)

A trapezoid is a rectangle.

c)

A square is a rectangle.

d)

A rectangle is a parallelogram.

17.

Which term describes a figure with two sets of parallel sides?

a)

Trapezoid

b)

Obtuse

c)

Parallelogram

d)

Equilateral

18.

Which is the MOST specific name of this figure?

a)

Rhombus

b)

Quadrilateral

c)

Rectangle

d)

Square

19.

Name the quadrilateral.

a)

Pentagon

b)

Trapezoid

c)

Parallelogram

d)

Rhombus

20.

What is a regular polygon?

a)

A polygon that has 1 set of parallel sides and 1 right angle.

b)

A polygon that has 2 sets of parallel sides and 2 right angles.

c)

A polygon that has 2 right angles and 2 sides congruent.

d)

A polygon in which all sides and all angles are congruent.

21.

A quadrilateral has 4 sides, 4 angles and 4 __________.

a)

Vertices

b)

Degrees

c)

Rays

d)

Parallels

22.

A quadrilateral has four congruent sides but no right angles. What can it be?

a)

Rectangle

b)

Rhombus

c)

Square

d)

Trapezoid

23.

Which of the following statements is NOT true?

a)

All rectangles are parallelograms.

b)

All squares are rectangles.

c)

All rectangles are squares.

d)

All squares are rhombuses.

24.

Name the polygon.

a)

Octagon

b)

Pentagon

c)

Hexagon

d)

Quadrilateral

25.

Which of the following names does NOT apply to this figure?

a)

Square

b)

Parallelogram

c)

Rhombus

d)

Quadrilateral

26.

Which of the following statements about a trapezoid is true?

a)

A trapezoid has four congruent sides.

b)

A trapezoid has one set of parallel sides.

c)

A trapezoid has four congruent angles.

d)

A trapezoid has two sets of parallel sides.

27.

Name the figure.

a)

Rectangle

b)

Rhombus

c)

Parallelogram

d)

Trapezoid

28.
Which One is not a property of a Parallelogram?  
a)
Opposite Sides Congruent 
b)
Opposite Angles Congruent 
c)
Diagonals Bisect Each other 
d)
Diagonals Congruent 
29.
Which is a property of a rhombus? 
a)
Diagonals Congruent 
b)
Diagonals Perpendicular
c)
Four Right Angles 
30.
What shape is this? 
a)
Square 
b)
Rectangle 
c)
Rhombus 
d)
Parallelogram 
31.
What is true about a Rectangle? 
a)
Diagonals Congruent 
b)
Diagonals Perpendicular
c)
Four Congruent Sides 
d)
Diagonals Angle bisectors 
32.
What shape is this? 
a)
Parallelogram 
b)
Rhombus 
c)
Rectangle 
d)
Trapezoid
33.
What shape is this? 
a)
Kite
b)
Parallelogram
c)
Rectangle 
d)
Trapezoid 
34.
Which One is not a property of a Parallelogram?  
a)
Opposite Sides Congruent 
b)
Opposite Angles Congruent 
c)
Diagonals Bisect Each other 
d)
Diagonals Congruent 
35.

Which of these are properties of a parallelogram?

a)

Both pairs of opposite sides are parallel

b)

Both pairs of opposite sides are congruent.

c)

Opposite angles are congruent.

d)

Consecutive angles are supplementary

e)

All 4 angles are congruent.

36.

Which of these are properties of a square?

a)

Opposite sides are congruent.

b)

All 4 angles are congruent

c)

All 4 sides are congruent

d)

Opposite sides are parallel

e)

Consecutive angles are supplementary

37.

Which of these are properties of a rectangle?

a)

Opposite sides are parallel

b)

All 4 sides are congruent

c)

All 4 angles are congruent.

d)

Opposite sides are congruent.

e)

Consecutive angles are supplementary.

38.

Which of these are properties of a rhombus?

a)

Consecutive angles are are supplementary.

b)

Opposite angles are congruent.

c)

All four angles are congruent.

d)

All four sides are congruent.

e)

Opposite sides are parallel.

39.

Which of these are properties of the diagonals of a parallelogram?

a)

Diagonals bisect each other

b)

Diagonals bisect angles of the parallelogram.

c)

Diagonals are congruent.

d)

Diagonals are perpendicular.

40.

Which of these are properties of the diagonals of a square?

a)

Diagonals bisect each other

b)

Diagonals bisect angles of the square.

c)

Diagonals are congruent.

d)

Diagonals are perpendicular.

41.

Which of these are properties of the diagonals of a rhombus?

a)

Diagonals bisect each other

b)

Diagonals bisect angles of the rhombus.

c)

Diagonals are congruent.

d)

Diagonals are perpendicular.

42.

Which of these are properties of the diagonals of a rectangle?

a)

Diagonals bisect each other

b)

Diagonals bisect angles of the rectangle.

c)

Diagonals are congruent.

d)

Diagonals are perpendicular.

43.

What is true about a Rectangle?

a)

Diagonals Congruent

b)

Diagonals Perpendicular

c)

Four Congruent Sides

d)

Diagonals are Angle bisectors

44.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
45.
A _______________ is a quadrilateral with two sets of parallel sides.
a)
trapezoid
b)
parallelogram
c)
kite
d)
triangle
46.
A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
47.
A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides. 
a)
trapezoid
b)
rhombus
c)
parallelogram
d)
rectangle
48.
A quadrilateral with two sets of parallel sides, 4 right angles, and 4 congruent (equal) sides is a __________________.
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
49.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
50.

If a quadrilateral has 4 equal sides, then it must be a square.

a)

TRUE

b)

FALSE

51.
A trapezoid is a parallelogram.
a)
True
b)
False
52.
A square is a rectangle.
a)
Never
b)
Sometimes
c)
Always
53.
A rectangle is a square.
a)
Never
b)
Sometimes
c)
Always
54.
A parallelogram is rectangle.
a)
Never
b)
Sometimes
c)
Always
55.

Which attribute does NOT describe a rhombus:

a)

Diagonals are perpendicular

b)

Sides are parallel

c)

Diagonals are angle bisectors

d)

Four right angles

56.
Which quadrilaterals have 4 congruent sides?
a)
only the parallelogram
b)
parallelogram, rhombus, and square
c)
rhombus and trapezoid
d)
rhombus and square
57.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
58.
The diagonals of a parallelogram
a)
are always congruent
b)
bisect each other
c)
are never congruent
d)
parallel
59.

Select all that apply to the property


Opposite Sides are congruent

a)

Parallelogram

b)

Kite

c)

Rectangle

d)

Square

e)

Trapezoid

60.

Select all that apply to the property


Opposite Angles are congruent

a)

Rectangle

b)

Isosceles Trapezoid

c)

Rhombus

d)

Parallelogram

e)

Kite

61.

Select all that apply to the property


Diagonals bisect each other

a)

Rectangle

b)

Square

c)

Rhombus

d)

Parallelogram

e)

Trapezoid

62.

Select all that apply to the property


Consecutive Angles are supplementary

a)

Rectangle

b)

Square

c)

Rhombus

d)

Parallelogram

e)

Trapezoid

63.

Select all that apply to the property


Diagonals are congruent

a)

Rectangle

b)

Square

c)

Rhombus

d)

Parallelogram

e)

Isosceles Trapezoid

64.

Select all that apply to the property


The diagonals are angle bisectors

a)

Rectangle

b)

Square

c)

Rhombus

d)

Parallelogram

e)

Trapezoid

65.

Select all that apply to the property


Diagonals are perpendicular

a)

Rectangle

b)

Square

c)

Rhombus

d)

Kite

e)

Trapezoid

66.

Choose the best quadrilateral that fits the description


4 congruent segments. Angle measures of 40, 140, 40, 140

a)

Rhombus

b)

Rectangle

c)

Square

d)

Parallelogram

67.

Choose the best quadrilateral that fits the description


4 congruent angles. Side lengths of 5, 5, 5, 5

a)

Rhombus

b)

Rectangle

c)

Square

d)

Parallelogram

68.

Choose the best quadrilateral that fits the description


4 congruent angles. congruent diagonals. diagonals are angle bisectors

a)

Rhombus

b)

Rectangle

c)

Square

d)

Parallelogram

69.

Choose the best quadrilateral that fits the description


Exactly two pairs of consecutive sides congruent

a)

Kite

b)

Isosceles Trapezoid

c)

Square

d)

Parallelogram

70.

A square is a rectangle

a)

Always

b)

Sometimes

c)

Never

71.

a quadrilateral has diagonals that bisect each other

a)

Always

b)

Sometimes

c)

Never

72.

Base Angles of an Isosceles Triangle are congruent

a)

True

b)

False

73.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
74.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
1
c)
5
d)
2
75.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
76.
Solve for X
a)
22
b)
16
c)
40
d)
35
77.
solve for X
a)
24
b)
90
c)
14
d)
100
78.
If GI = 2s - 84 and GK = s-18. Find the value of S
a)
12
b)
55
c)
66
d)
60
79.
In the diagram of parallelogram STUV, SV = x + 3, VU = 2x - 1, and TU = 4x - 3. What is the length of SV? 
a)
5
b)
2
c)
7
d)
4
80.
Given Rhombus TUVW. Find m∠2.
a)
62
b)
28
c)
90
d)
78
81.
The figure is a rhombus.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
82.
Find the value of x if m∠CDA = 9x+3 and m∠EDA = 6x+15.
a)
39
b)
4
c)
4.8
d)
-4
83.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
84.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
85.
Find m∠1.
a)
62
b)
28
c)
90
d)
78
86.
Find the missing angle of the trapezoid.
a)
65
b)
115
c)
180
d)
None of these
87.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3
88.
Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.
a)
6
b)
11
c)
7
d)
5
89.
Find the measure of the missing angle:
a)
95º
b)
75º
c)
115º
d)
85º
90.
Find the measure of the missing angle:
a)
70º
b)
110º
c)
90º
d)
120º
91.
Find the measure of the missing angle:
a)
36º
b)
63º
c)
101º
d)
81º
92.
Find the measure of the missing angle:
a)
30º
b)
60º
c)
90º
d)
120º
93.

What is the perimeter of the shape?

a)

20 units

b)

12 units squared

c)

22 units

d)

32 units squared

94.
What is the area of the shape?
a)
35 units squared
b)
24 units squared
c)
not enough information
d)
22 units squared
95.
What is the distance between points  (5, 5) and  (1, 5) on a coordinate plane?
a)
-4
b)
4
c)
10
d)
-10
96.
(5,-3) and (5,6)
a)
-9
b)
-3
c)
9
d)
3
97.

Find the distance between (0, 6) and (0, -4)

a)

2

b)

-2

c)

0

d)

10

98.
What is the area of the figure? 
a)
12 square units
b)
24 square units
c)
18 square units
d)
36 square units
99.
What is the distance between points (-7, 8) and (2, 8)?
a)
4 units
b)
5 units
c)
3 units
d)
9 units
100.
Find the area of the parallelogram.
a)
12 units2
b)
10 units2
c)
13 units2
d)
6 units
101.

What is the area of the triangle?

a)

2.5 square units

b)

3 square units

c)

3.5 square units

d)

4 square units

102.
The coordinates of this rectangle are (1.5, 2) (0, 2) (1.5, 0) and...
a)
(0,0)
b)
(1.5, 1.5)
c)
(-2, 1.5)
d)
(0, -2)
103.
What is the perimeter of the rectangle?
a)
3 units
b)
2.5 units
c)
7.5 units
d)
7 units
104.
What is the area of the rectangle?
a)
28 units squared
b)
45 units squared
c)
33 units squared
d)
19 units squared
105.
Find the perimeter of the figure to the right.  Round to the nearest tenth.
a)
20.8 units
b)
116 units
c)
11.5 units
d)
19.8 units
106.
What is the area of the figure? 
a)
11 square units
b)
15 square units
c)
25 square units
d)
30 square units
107.
On a map, John’s school is located at (4, -5), the McDonald’s is located at (4, 3), the mall is located at (2, -5) and his home is situated at (2,3). What is the area between the four locations? 
a)
8 square units
b)
10 square units 
c)
16 square units
d)
20 square units
108.
The area of a rectangle is 36 square meters.  If the length of the rectangle is 3, what is the width?
a)
108
b)
12
c)
9
d)
15
109.
The two triangles are isosceles, what is the area? 
a)
42 square feet
b)
45 feet
c)
45 ft2
d)
28 ft2
110.
Find the area?
a)
15 in²
b)
30 in²
c)
15 in
d)
 30 in
111.
What is the area of this trapezoid?
a)
320 square centimeters
b)
416 square centimeters
c)
448 square centimeters
d)
560 square centimeters
112.
find the area
a)
19.5
b)
78
c)
39
d)
27
113.
What is the area of this kite?
a)
336in 2
b)
552in 2
c)
336 in
d)
456in 2
114.
Find the area of the trapezoid.
a)
64 m
b)
72 m
c)
72 m2
d)
64 m2
115.
The space inside an object is called it's
a)
area
b)
perimeter
116.

What is the perimeter (in units) of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

a)

65

b)

8.06

c)

14

d)

19.06

117.
In order for ABCD to be a parallelogram, what must the value of x be?
a)
132
b)
66
c)
114
d)
48
118.

Is the quadrilateral a parallelogram?

a)

Yes

b)

No

c)

Not enough information.

119.
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
120.
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
121.
How long is the side CD?
a)
7
b)
3
c)
35
d)
27
122.
Is there enough information to determine that this quadrilateral is a parallelogram?
a)
yes
b)
no
123.

Find m∠FHJ

a)

70

b)

82

c)

152

d)

28

124.

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

125.
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. 
126.
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. 
127.

Graph figure ABCD on graph paper and classify it as specifically as you can.


A (-7, 4) B (7, 6) C (9, -4) D (-5, -6)

a)

Rectangle

b)

Square

c)

Parallelogram

d)

Quadrilateral

128.

Are the opposite sides of figure ABCD parallel?

a)

No, the distance of BC is 5 and the distance of AD is √40

b)

Yes, both AB & CD have a distance of 5 and BC & AD have a distance of 10

c)

No, the slope of AB is -3/4 and the slope of CD is 5/4

d)

Yes, both AB & CD have a slope of -3/4 and BC & AD have a slope of 4/3

129.

What is the distance of CD?

a)

10

b)

√13

c)

5

d)

4√5

130.

If I want to prove that a quadrilateral is a square, how many times will you have to use the distance formula?

a)

1

b)

2

c)

3

d)

4

131.

What quadrilateral is created by the following set of points?

A(-5,-2) B(1,2) C(3,-1) D(-3-5)

a)

Square

b)

Rectangle

c)

Rhombus

d)

Parallelogram

132.

What quadrilateral is created by the following set of points?

W(0,3) X(5,3) Y(8,-1) Z(3,-1)

a)

Square

b)

Rectangle

c)

Rhombus

d)

Parallelogram

133.

What is the slope of Side AC?

a)

2/5

b)

5/2

c)

5

d)

√(29)

134.

What is the slope of Side BD?

a)

-3

b)

-1/3

c)

1/3

d)

3

135.

What is the length of Side AC?

a)

5/2

b)

5

c)

29

d)

√(29)

136.

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

137.

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

a)

The length of each side is √(34), therefore all sides are congruent.

b)

The length of each side 8, therefore all sides are congruent.

c)

The slope of AC and BD is 5/3, therefore AC and BD are parallel.

d)

The slopes of the sides are opposite reciprocals, therefore opposite sides are parallel.

138.

What is the length of Side BD?

a)

√(10)

b)

√(90)

c)

4

d)

12

139.

If you want to prove that Quadrilateral ABCD is a rectangle, what is the best piece of evidence to use?

a)

The lengths of AC and BD are the same, therefore AC and BD are congruent

b)

The slopes of AC and BD are the same, therefore AC and BD are congruent

c)

The slopes of AB and BD are the same, therefore AC is perpendicular to BD

d)

The slopes of AB and BD are opposite reciprocals, therefore AC is perpendicular to BD.

140.

What is the slope of Side AB?

a)

-4

b)

-1/4

c)

1/4

d)

4

141.

What is the length of Side AB?

a)

5

b)

10

c)

√(17)

d)

√(68)

142.

If you want to prove that Quadrilateral ABCD is a square, SELECT ALL the pieces of evidence you would need to use.

a)

The length of each side is √(68), therefore all sides are congruent

b)

The slope of AC and BD are both 1/4, therefore AC is parallel to BD

c)

The slopes of AC and CD are opposite reciprocals, therefore AC is perpendicular to CD

d)

The slopes of AB and BD are opposite reciprocals, therefore AB and BD are perpendicular.

143.

Two adjacent angles of a parallelogram are (3x-4) and (3x+16) degrees. Find the value of x

4 lines
144.

The sum of two opposite angles of a parallelogram is 130 degrees. Find the measure of each angle.

4 lines
145.

Solve for x.

a)

1

b)

4

c)

5

d)

10

146.

Solve for x.

a)

1

b)

11

c)

7

d)

6

147.
Name that shape.
a)
trapezoid
b)
quadrilateral
c)
parallelogram
d)
rhombus
148.
Has only 1 set of parallel sides
a)
Trapezoid
b)
Parallelogram
c)
Kite
d)
Quadrilateral
149.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
150.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
151.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
152.
Find the measure of angle b.
a)
b = 51
b)
b = 129
153.

State the most specific name for the following quadrilateral:

a)

parallelogram

b)

rhombus

c)

trapezoid

d)

rectangle

154.

State the most specific name for the following quadrilateral:

a)

parallelogram

b)

rhombus

c)

square

d)

rectangle

155.

State the most specific name for the following quadrilateral:

a)

parallelogram

b)

rhombus

c)

trapezoid

d)

isosceles trapezoid

156.

State the most specific name for the following quadrilateral:

a)

kite

b)

rhombus

c)

trapezoid

d)

isosceles trapezoid

157.

State the most specific name for the following quadrilateral:

a)

kite

b)

rhombus

c)

trapezoid

d)

isosceles trapezoid

158.

State the most specific name for the following quadrilateral:

a)

kite

b)

rhombus

c)

trapezoid

d)

isosceles trapezoid

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