Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Geometry: 7.1-7.3 Review

Total questions: 46

Worksheet time: 3hrs 33mins

Name
Class
Date
1.
The cookie jar has six chocolate chip cookies and five oatmeal cookies. What is the ratio of oatmeal to chocolate chip cookies?
a)
6:5
b)
5:6
c)
6:11
d)
6:11
2.
In my fish tank, the ratio of red fish to blue fish is 3:5. There are 20 blue fish. How many red fish are there?
a)
18
b)
12
c)
4
d)
15
3.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
4.
Tommy has a bag of LEGOS.  There are 6 yellow, 3 red, and 8 blue LEGOS.  What is the ratio in simplest form of red to yellow LEGOS?
a)
1/2
b)
6/3
c)
2/1
d)
3/6
5.

Solve the proportion.

a)

-3

b)

-1.5

c)

2.1

d)

9

6.
The cookie jar has six chocolate chip cookies and five oatmeal cookies. What is the ratio of oatmeal to chocolate chip cookies?
a)
6:5
b)
5:6
c)
6:11
d)
6:11
7.
Enter the missing numbers to create equivalent ratios. 
1 : 3
6 : 18
2 : _
4 : _
a)
4 & 8
b)
4 & 12
c)
6 & 12
d)
6 & 8
8.
In my fish tank, the ratio of red fish to blue fish is 3:5. There are 20 blue fish. How many red fish are there?
a)
18
b)
12
c)
4
d)
15
9.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
10.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
11.
Tommy has a bag of LEGOS.  There are 6 yellow, 3 red, and 8 blue LEGOS.  What is the ratio in simplest form of red to yellow LEGOS?
a)
1/2
b)
6/3
c)
2/1
d)
3/6
12.

Solve the proportion.

a)

-3

b)

-1.5

c)

2.1

d)

9

13.

A triangle’s angle measures are in the extended ratio of 2 : 4 : 9. Find the measures of the angles.

a)

20o, 40o, 90o

b)

24o, 48o, 108o

c)

24o, 32o, 124o

d)

20o, 40o, 100o

14.
Solve for x
a)
1/2
b)
25/8
c)
11
d)
53/4
15.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
16.
a)
x = 1/24
b)
x = 29
c)
x = 28
d)
x = 3/2
17.
Solve the proportion
a)
144
b)
4
c)
6
d)
9
18.

A triangle’s angle measures are in the extended ratio of 3 : 4 : 11. Find the measures of the angles.

a)

30o, 40o, 90o

b)

30o, 40o, 110o

c)

10o, 30o, 140o

d)

40o, 40o, 100o

19.

A triangle’s angle measures are in the extended ratio of 1 : 2 : 3. Find the measures of the angles.

a)

30o, 60o, 90o

b)

10o, 20o, 30o

c)

20o, 40o, 60o

d)

30o, 50o, 100°

20.
Solve for k
a)
165
b)
17
c)
1/17
d)
1/165
21.
a)
x = 1/24
b)
x = 29
c)
x = 28
d)
x = 3/2
22.

A triangle’s angle measures are in the extended ratio of 3 : 4 : 11. Find the measures of the angles.

a)

30o, 40o, 90o

b)

30o, 40o, 110o

c)

10o, 30o, 140o

d)

40o, 40o, 100o

23.
Which represents the relationship of oranges to fruit?
a)
2:6
b)
2:4
c)
4:6
d)
4:2
24.
What is a Ratio?
a)
Is a comparison of two quantities 
b)
A rate with a denominator of one
c)
It is when the only factor the numerator and denominator share is a one 
d)
Two decimals that can be multiplied
25.

When figures are similar, their corresponding angles are__________________.

a)

congruent

b)

proportional

c)

yellow

d)

obtuse

26.
When figures are similar, their corresponding sides are__________________.
a)
congruent
b)
proportional
c)
invisible
27.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
28.

Find the scale factor.

a)

4:1

b)

1:3

c)

2:1

d)

7:3

29.

The pair of figures is similar. Find the missing side.

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

30.

State if the polygons are similar.

a)

similar

b)

Not similar

31.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
32.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger

figure.

a)

a

b)

b

c)

c

d)

d

33.
Find the ratio (red to blue) of the perimeter.
a)
11/6
b)
6/11
c)
121/36
d)
36/121
34.

The scale factor of two similar figures is 4 : 5. What is the ratio of their perimeters?

a)

4 : 5

b)

16 : 25

c)

64 : 125

d)

8 : 10

35.
Find the missing perimeter.
a)
15
b)
20
c)
25
d)
30
36.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
37.

The triangles are similar and the perimeter of SRT = 15. What is the scale factor between the two?

a)

⅘

b)

⅚

c)

½

d)

¾

38.

The triangles are similar and the perimeter of SRT = 15. What is the perimeter of WZX??

a)

12

b)

12.5

c)

13

d)

15

39.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
40.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
41.
A gymnasium is 96 feet long and 75 feet wide.  On a blueprint, the gymnasium is 5.5 inches long.  To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?  
a)
4.3
b)
8.6
c)
6.4
42.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
43.
a)
8
b)
9.5
c)
10
d)
10.5
44.

ΔTUV ∼Δ\Delta TUV\ \sim\Delta ___

by which postulate?

a)

ΔTSR\Delta TSR

by AA similarity

b)

Not similar

c)

ΔTRS\Delta TRS

by AA similarity

45.
Question Image

Match the corresponding similar sides.

a)

KL

1.

FG

b)

LM

2.

GH

c)

MK

3.

HF

46.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft