Geometry Unit 2

1
Geometry Unit 2

• Practice Test

2
1) Find the perimeter of this scalene triangle.
50 cm
40 cm
30 cm
3
30 cm 40 cm 50 cm 120 cm
50 cm
40 cm
30 cm
4
2) Find the area of this triangle.
50 cm
40 cm
30 cm
5
Area base x height ? 2
50 cm
40 cm
30 cm
6
Area 30 cm x 40 cm ? 2
50 cm
40 cm
30 cm
7
Area 30 cm x 40 cm ? 2 600 cm2
50 cm
40 cm
30 cm
8
Did you remember to divide by 2?
50 cm
40 cm
30 cm
9
If you did not divide by 2, then you found the
area of a rectangle.
50 cm
40 cm
30 cm
10
If you did not divide by 2, then you found the
area of a rectangle.
40 cm
30 cm
11
You MUST divide by 2 to get rid of half of the
unwanted area.
40 cm
30 cm
12
You MUST divide by 2 to get rid of half of the
unwanted area.
40 cm
30 cm
13
3) What is the perimeter of this regular pentagon?
3.5 in
14
You can add up 3.5 five times 3.5 in. 3.5 in.
3.5 in. 3.5 in. 3.5 in.
3.5 in
15
Or you can multiply 3.5 by 5 sides. 3.5 in. x 5
17.5 in.
3.5 in
16
4) How many little squares would it take to make
the larger rectangle?
2
2
4
4
17
Remember that when you double the length double
the width, the area quadruples.
2
2
4
4
18
Therefore, 4 little squares can fit inside of 1
big square.
2
2
4
4
19
If there are 4 big squares each containing 4
little squares, the answer is
2
2
4
4
20
16 little squares make up the large rectangle.
2
2
4
4
21
5) How many little triangles would it take to
make the parallelogram?
7
7
3
9
22

23
2
3
1

24
2
6
4
1
3
5
25
6) Which of the following could be units for
area?A) cmB) cm2C) cm3D) cm4
26
6) Which of the following could be units for
area?A) cmB) cm2C) cm3D) cm4
27
7) Find the surface area for this prism.
4 m
10 m
3 m
28
Find the area of each face on the prism. Then
total all of the areas.
29
Front Back
4 m
3 m
3 m
30
Front Back
4 m
12 sq. m
12 sq. m
3 m
3 m
31
Top Bottom
10 m
3 m
3m
32
Top Bottom
30 sq. m
30 sq. m
10 m
3 m
3m
33
Left Right
10 m
4 m
4m
34
Left Right
40 sq. m
40 sq. m
10 m
4 m
4m
35
Now sum all of the areasFront 12 sq.
m Back 12 sq. m Top 30 sq. m Bottom 30 sq.
m Left 40 sq. m Right 40 sq. m 164 sq. m
36
8) Which of the following expressions could be
used to find the volume of a rectangular
prism?A) Length Width HeightB) Area of Base
x HeightC) Area of Base HeightD) (Length
Width Height) x 2
37
Which of the following expressions could be used
to find the volume of a rectangular prism?A)
Length Width HeightB) Area of Base x
HeightC) Area of Base HeightD) (Length
Width Height) x 2
38
You can think of volume as area with thickness.
10 sq. mm
39
You can think of volume as area with thickness.
10 sq. mm
2 mm
40
You can think of volume as area with thickness.
10 sq. mm
Volume 20 cubic mm
2 mm
41
9) Find the area of the kite.
4 ft
10 ft
3 ft
4 ft
42
With a few reflections translations, you can
turn this into a rectangle.
4 ft
10 ft
3 ft
4 ft
43
4 ft
10 ft
3 ft
4 ft
44
4 ft
10 ft
3 ft
4 ft
45
4 ft
10 ft
3 ft
4 ft
46
4 ft
10 ft
3 ft
4 ft
47
4 ft
10 ft
3 ft
4 ft
48
4 ft
4 ft
10 ft
3 ft
49
4 ft
4 ft
10 ft
3 ft
50
4 ft
4 ft
10 ft
3 ft
51
Now we have a rectangle that is 13 by 4. What is
the area?
4 ft
4 ft
4 ft
10 ft
3 ft
13 ft
52
4 x 13 52 sq. ft.
4 ft
4 ft
4 ft
10 ft
3 ft
13 ft
53
10) Which of the following dimensions (of a
rectangle) result in an area of 60 and a
perimeter of 64?A) Length 1 and Width 60B)
Length 2 and Width 30C) Length 3 and Width
20 D) Length 4 and Width 15
54
10) Which of the following dimensions (of a
rectangle) result in an area of 60 and a
perimeter of 64?A) Length 1 and Width 60B)
Length 2 and Width 30C) Length 3 and Width
20 D) Length 4 and Width 15
55
10) Which of the following dimensions (of a
rectangle) result in an area of 60 and a
perimeter of 64?B) Length 2 and Width 30 2
x 30 60 2 2 30 30 64
56
11) The following triangles are similar
(proportional). What is the length of the
missing side?
15
3
4
?
57
11) The following triangles are similar
(proportional). What is the length of the
missing side?
15
3
4
20
58
11) The following triangles are similar
(proportional). What is the length of the
missing side?
X 5
15
3
X 5
4
20
59
12) Pi is A) the same thing as
circumference.B) the number of radii needed to
make the circumference.C) the number of
diameters needed to make the circumference.D)
the quotient of diameter divided by circumference.
60
12) Pi is A) the same thing as
circumference.B) the number of radii needed to
make the circumference.C) the number of
diameters needed to make the circumference.D)
the quotient of diameter divided by circumference.
61
13) Find the circumference of a circle with a
diameter of 11 in.
11 in
62
13) Find the circumference of a circle with a
diameter of 11 in.
3.14 x11 314 3140 34.54 in
11 in
63
14) Find the area of circle with a radius of 5 in.
5 in
64
14) Find the area of circle with a radius of 5 in.
5 in
5 x 5 25 3.14 x 25 78.5 sq. in
65
15) What is the volume of this shape?
66
This shape is made of 12 cubes.
67
This shape is made of 12 cubes.
68
So the volume is 12.
69
16) What is the area of this parallelogram?
2.3 ft
6.5 ft
70
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
71
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
72
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
73
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
74
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
75
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
76
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
77
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
78
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
79
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
80
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
81
Remember that a parallelogram is a rectangle in
disguise.
2.3 ft
6.5 ft
82
2.3 x 6.5 14.95 sq. ft
2.3 ft
6.5 ft
83
17) Mrs. Smith makes place mats for her kitchen
table. She made a place mat out of 9 small
squares. When she was done, she decided that
each place mat was too small. She decided to
double the length double the width of each
place mat. How many additional squares did she
need for each place mat?
84
Double the length!
85
Double the length!
86
Double the length!
87
Double the length!
88
Double the width!
89
Double the width!
90
Double the width!
91
A new place mat is 6 squares by 6 squares.
36 Total Squares
92
The old place mat was 3 squares by 3 squares.
9 Total Squares
93
36 squares 9 squares is 27 squares
9 Total Squares
36 Total Squares
94
36 squares 9 squares is 27 squares
36 Total Squares
95
18) Which expression would NOT result in the
volume of this cube?A) 5 x 3B) 5 x 5 x 5C)
53D) 25 x 5
5
5
5
96
18) Which expression would NOT result in the
volume of this cube?A) 5 x 3B) 5 x 5 x 5C)
53D) 25 x 5
5
5
5
97
Volume is Length x Width x Height A) 5 x 3B) 5
x 5 x 5C) 53D) 25 x 5
5
5
5
98
5 x 3 means 5 5 5 NOT 5 x 5 x 5 A) 5 x 3B)
5 x 5 x 5C) 53D) 25 x 5
5
5
5
99
19) Which of the following expressions shows how
to find the perimeter of a rectangle and uses the
distributive property?A) 3 4 3 4B) 2
(3 x 4)C) 2 x (3 4) D) 2 x (3 x 4)
3
4
100
19) Which of the following expressions shows how
to find the perimeter of a rectangle and uses the
distributive property?A) 3 4 3 4B) 2
(3 x 4)C) 2 x (3 4) D) 2 x (3 x 4)
3
4
101
20) Which of the following rectangles has an area
of 36 and MINIMIZES perimeter? A) 2 by 18B) 3
by 12C) 4 by 9D) 6 by 6
102
Find the perimeter for each rectangle. A) 2 by
18B) 3 by 12C) 4 by 9D) 6 by 6
103
Find the perimeter for each rectangle. A) 2 by
18 2 18 2 18 40B) 3 by 12 C) 4 by 9D)
6 by 6
104
Find the perimeter for each rectangle. A) 2 by
18 2 18 2 18 40B) 3 by 12 3 12 3
12 30 C) 4 by 9D) 6 by 6
105
Find the perimeter for each rectangle. A) 2 by
18 2 18 2 18 40B) 3 by 12 3 12 3
12 30 C) 4 by 9 4 9 4 9 26D) 6 by 6
106
Find the perimeter for each rectangle. A) 2 by
18 2 18 2 18 40B) 3 by 12 3 12 3
12 30 C) 4 by 9 4 9 4 9 26D) 6 by
6 6 6 6 6 24
107
Remember that squares always minimize perimeter.
A) 2 by 18 2 18 2 18 40B) 3 by 12 3
12 3 12 30 C) 4 by 9 4 9 4 9
26D) 6 by 6 6 6 6 6 24
108
21) Find the volume of the cylinder.
3 in
10 in
109
Find the area of the base shape.
3 in
3 x 3 x 3.14 28.26 in2
10 in
3 in
110
Then multiply by the height of the cylinder.
3 in
3 x 3 x 3.14 28.26 in2
10 in
3 in
28.26 in2 x 10 in 282.6 in3
111
22) Find the surface area of the cylinder.
3 in
10 in
112
Find the area of the top and bottom circles
3 x 3 x 3.14 28.26 in2
3 in
3 in
3 x 3 x 3.14 28.26 in2
10 in
3 in
113
Now find the area of the rectangle.
3 x 3 x 3.14 28.26 in2
3 in
Circumference 6 x 3.14 18.84
3 x 3 x 3.14 28.26 in2
10 in
3 in
114
Now find the area of the rectangle.
3 x 3 x 3.14 28.26 in2
3 in
Circumference 6 x 3.14 18.84
3 x 3 x 3.14 28.26 in2
10 in
3 in
10 x 18.84 188.4 in2
115
Now add up all of the areas.28.26 28.26
188.4 244.92 in2
3 x 3 x 3.14 28.26 in2
3 in
Circumference 6 x 3.14 18.84
3 x 3 x 3.14 28.26 in2
10 in
3 in
10 x 18.84 188.4 in2
116
23) What are the dimensions of a rectangle that
has an area of 24 and a perimeter of 22.
?
?
117
3 x 8 243 8 3 8 22
3
8
118
24) What are the dimensions of a rectangle that
has an area of 20 and a perimeter of 24.
?
?
119
2 x 10 202 10 2 10 24
2
10
120
25) Imagine that you are looking down on this
shape. What would you see?
121
This would be your view.
122
26) Imagine that you are looking at this shape
from the right. What would you see?
123
This would be your view.
124
27) If this net were folded, what 3-dimensional
shape would be formed?
125
This would make a triangular prism.
126
STUDY HARD