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Proportion Test Review

Total questions: 46

Worksheet time: 3hrs 9mins

Name
Class
Date
1.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

2.

Determine whether each pair of ratios forms a proportion

a)

Proportion

b)

Not a Proportion

3.
Solve for x 
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
4.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
5.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
6.
2 apples cost $20. What will 5 Apples cost? 
a)
28
b)
45
c)
50
d)
39
7.

2x20 = 24\frac{2x}{20\ }=\ \frac{2}{4}  

a)

x= 20

b)

x= 4

c)

x= 5

d)

x = 2

8.
What is a proportion?
a)
When two ratios can be simplified
b)
When two ratios are equivalent and show the same value
c)
When two ratios have the exact same numbers
d)
When two ratios can be multiplied by 2
9.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
10.
Find missing side
a)
5
b)
7
c)
9
d)
11
11.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
12.
Find missing side
a)
5
b)
7
c)
9
d)
11
13.
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? Hint: the figures are similar triangles.
a)
8 feet
b)
72 feet
c)
36 feet
d)
144 feet
14.
Sides in similar figures must be proportional.  
a)
True
b)
False 
15.
Solve for f.
a)
6
b)
4
c)
3
d)
8
16.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
17.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
18.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
19.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
20.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 
a)
7 in
b)
9 in
c)
12 in
d)
14 in
21.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
22.

Review the picture. Find the missing side measurement in the picture using a proportion.

a)

x = 900 m

b)

x = 52 m

c)

x = 25 m

d)

x = 0.04 m

23.
Find y.
a)
144
b)
18
c)
72
d)
12
24.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
25.
Solve for X
a)
X = 143
b)
X = 104
c)
X = 44
d)
X = 153
26.

Which of the following is an example of a proportional relationship?

a)

The number of hours slept and the amount of money earned.

b)

The number of hours worked and the number of days off.

c)

The number of hours worked and the distance traveled.

d)

The number of hours worked and the amount of money earned

27.

If two polygons are similar, what can we say about their corresponding angles?

a)

Corresponding angles are equal.

b)

Corresponding angles are supplementary.

c)

Corresponding angles are parallel.

d)

Corresponding angles are congruent.

28.

What is the ratio of the corresponding sides of two similar polygons?

a)

Variable

b)

Random

c)

Constant

d)

Dependent

29.

What happens to the dimensions of a figure when it is enlarged?

a)

The dimensions of a figure increase proportionally when it is enlarged.

b)

The dimensions of a figure increase exponentially when it is enlarged.

c)

The dimensions of a figure remain the same when it is enlarged.

d)

The dimensions of a figure decrease proportionally when it is enlarged.

30.

If the scale factor of an enlargement is greater than 1, what happens to the size of the figure?

a)

The size of the figure decreases.

b)

The size of the figure remains the same.

c)

The size of the figure becomes negative.

d)

The size of the figure increases.

31.

If the scale factor of a reduction is between 0 and 1, what happens to the size of the figure?

a)

The size of the figure decreases or becomes smaller.

b)

The size of the figure becomes distorted or warped.

c)

The size of the figure remains the same.

d)

The size of the figure increases or becomes larger.

32.

What is the ratio of the areas of two similar figures?

a)

Ratio of their corresponding perimeters.

b)

Sum of their corresponding side lengths.

c)

Square of the ratio of their corresponding side lengths

d)

Product of their corresponding side lengths.

33.

If two figures are similar, what can we say about their corresponding angles?

a)

Corresponding angles are complementary.

b)

Corresponding angles are not equal.

c)

Corresponding angles are supplementary.

d)

Corresponding angles are equal.

34.

What is the ratio of the perimeters of two similar figures?

a)

Ratio of corresponding side lengths

b)

Ratio of volumes.

c)

Ratio of areas.

d)

Ratio of corresponding angles.

35.

Determine the scale factor of the similar figures:

​ (a)  

Choose from the below words
1:2
2:4
3:6
2:1
4:2
6:3
2:3
4:6
36.

Side TA and side​ ​ (a)   are corresponding (matching).

Choose from the below words
MO
AR
TR
OP
MP
TA
37.

Match the following similar figures to the correct missing side lengths.

(hint: use proportions to find the value of each variable)

a)
1.

x=8

b)
2.

x=4

c)
3.

y=20

d)
4.

x=25

e)
5.

x=0.66666

38.
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
39.
Find side length X.
a)
30
b)
25
c)
15
d)
40
40.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
41.

Which proportion is true?

a)

vw=54.38\frac{v}{w}=\frac{5}{4.38}

b)

v6=4.22.52\frac{v}{6}=\frac{4.2}{2.52}

c)

6w=57.3\frac{6}{w}=\frac{5}{7.3}

d)

v6=7.32.52\frac{v}{6}=\frac{7.3}{2.52}

42.

Find the height of the flagpole.

a)

205

b)

105

c)

230

d)

135

43.

Find the width of the river. (d)

a)

28.8 feet

b)

500 feet

c)

45 feet

d)

0.002 feet

44.

A home's height is 40 ft. and casts a shadow that is 12 ft. A car in the driveway is 10 ft. high. How long is the car's shadow?

a)

3 ft

b)

120 ft

c)

12 ft

d)

1200 ft

45.
How can you tell which Angles are congruent from ∆DEF ≅ ∆ZXY?
a)
I can not tell without a diagram.
b)
I can not tell without measurements given.
c)
I looked at the letters in corresponding positions.
d)
The letters closer to the beginning of the alphabet match and the letters closer to the end of the alphabet match.
46.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles

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