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Unit 5: Scale Factor Test Review

Total questions: 50

Worksheet time: 1hrs 11mins

Name
Class
Date
1.

_________ ________ is the number you multiply by the sides to create a similar figure.

a)

Corresponding Angle

b)

Scale Factor

c)

Mid Point

d)

Similar objects

2.

What is the scale factor from the small fry to the large fry?

a)

1/3

b)

48

c)

4

d)

3

3.

If a copy has a scale factor of 1/2 it is

a)

bigger

b)

smaller

c)

same size

4.

If a copy has a scale factor of 6 then it is

a)

bigger

b)

smaller

c)

same size

5.

ΔPQR is similar to ΔSTU\Delta PQR\ is\ similar\ to\ \Delta STU  What side corresponds to side UT?

a)

PQ

b)

RQ

c)

QR

d)

QP

6.

Which copies are scale drawings when compared to the original triangle?

a)

1, 2, and 3

b)

1 and 2

c)

2 and 3

d)

1

e)

2

7.

A Lego model of the Burj Khalifa was created using a scale of 1 foot = 650 feet. If the lego model reaches a height of 4.18 feet, what is the height of the Burj Khalifa?

a)

2,717 feet

b)

2, 152 feet

c)

2, 376 feet

8.

A scale drawing of Mt. Marcy is 17.8 inches high. Determine the actual height of Mt. Marcy if the scale used for the drawing was 1.5 inches = 450 feet.

a)

8,010 feet

b)

5,340 feet

c)

12,015 feet

9.

If the scale factor is greater than one, the new figure will be...

a)

a reduction

b)

an enlargement

c)

a scale

d)

not proportional

10.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
11.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
12.
On a map, Memphis, Tennessee, and Jackson, Mississippi, are 5 inches apart. The distance between the cities is actually 210 miles.

What scale was used to create the map?
a)
42 inches = 1 mile
b)
1 inch = 42 miles
c)
40 inches = 1 mile
d)

1 inch = 40 miles
13.

A rectangle has the dimensions 4cm by 5cm. A scale factor of 3 is used to enlarge the rectangle. What is the new area?

a)

20 cm2

b)

60 cm2

c)

180 cm2

d)

100 cm2

14.

A rectangle has the dimensions 2.2cm by 4.5cm. A scale factor of 4 is used to enlarge the rectangle. What is the new area?

a)

39.6 cm2

b)

8.8 cm2

c)

9.9 cm2

d)

158.4 cm2

15.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
16.
Sides in similar figures must be proportional.  
a)
True
b)
False 
17.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
18.
Find the height of the person using what you know about similar triangles.
a)
4 ft
b)
6.25 ft
c)
1.25 ft
d)
5.75 ft
19.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
20.
All angles in similar figures are congruent.  
a)
True
b)
False
21.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
22.

Which proportion can be used to solve for the missing side?

a)
b)
c)
d)
23.
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.
24.

What is the measure of angle F?

a)

36o

b)

63o

c)

81o

d)

99o

25.

A figure must have the same shape and size to be _________.

a)

Congruent

b)

Similar

c)

Side Angle Side

26.

Which scale factor is an example of a reduction?

a)

k = 1/2

b)

k = 1

c)

k = 3/2

d)

k = 2.5

27.

Which scale factor is an example of an enlargement?

a)

k = 1/2

b)

k = 1

c)

k = 3/2

d)

k = 0.75

28.
Scale factor is a ratio _____ to a side to find its corresponding side.
a)
multiplied
b)
divided
c)
added
d)
subtracted
29.

What is a ratio that compares two measurements?

a)

ratio

b)

scale

c)

reciprocal

d)

cheetah

30.
Are these shapes congruent?
a)
Yes
b)
No
31.
Which segment is congruent to EF? 
a)
HG
b)
HF
c)
GF
d)
IE
32.
If the scale factor is 4, what is the measurement of x?
a)
20 m
b)
24 m
c)
16 m
d)
4 m
33.

What is the scale factor from square A to square B?

a)

10

b)

2

c)

3

d)

30

34.
What is the scale factor from the small shape to the big shape?
a)
1/2
b)
7/3
c)
2
d)
10/3
35.

What is the scale factor from ABC to DEF?

a)

2

b)

3/2

c)

2/3

d)

1/2

36.

The scale of the drawing shown is 1 cm = 3 in. How high is the mug in real life?

a)

3 inches

b)

6 inches

c)

9 inches

d)

12 inches

37.

In the map, 1 inch = 30 miles.  


The distance between Charleston and Columbia (on the map) are 4 1/2 inches.  

How many miles apart are they in real life?

a)

60 miles

b)

120 miles

c)

135 miles

d)

150 miles

38.

A floor plan of a doctor's office is shown.

1 inch = 20 ft

What are the actual dimensions of the doctor's office?

a)

length: 30 ft width: 20 feet

b)

length: 60 feet width: 40 feet

c)

length: 90 feet width: 60 feet

d)

length: 20 feet width: 10 feet

39.

Which figure is a scaled copy of the Original (A)

a)

B

b)

C

c)

D

d)

None of the above

40.

Three student are arguing over the picture above.

  • Rhonda says the scale is 3
  • Jaclyn says the scale is 2
  • Haley says the scale is 2.5

Who is correct?

a)

Rhonda

b)

Jaclyn

c)

Haley

d)

None of them

41.

If the perimeter is 8 times bigger, what is the scale factor?

a)

64

b)

8

c)

16

d)

No scale factor

42.

If the area is 100 times bigger, what is the scale factor

a)

10

b)

100

c)

50

d)

No scale factor

43.
**** A model of a planned baseball stadium is 2 ft wide. The actual stadium will be 200 yd wide. What is the scale?
a)
2 feet = 50 yards
b)
1 foot = 200 yards
c)
1 foot = 100 yards
d)
1 foot = 50 yards
44.

Are the triangles similar?

a)

Yes, the shapes look the same.

b)

Yes, because the corresponding angles are congruent.

c)

No, because the corresponding sides are not proportional.

d)

No, because the shapes are different sizes.

45.

Are the triangles similar?

a)

No, because the corresponding sides are not proportional.

b)

No, because the shapes are not oriented in the same direction.

c)

Yes, because the corresponding sides are proportional.

d)

Yes, because both shapes are triangles.

46.

Are the triangles similar?

a)

No, because the corresponding sides are not proportional.

b)

No, because the shapes are not oriented in the same direction.

c)

Yes, because the corresponding sides are proportional.

d)

Yes, because both shapes are triangles.

47.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? 
a)
72 in
b)
60 in
c)
62 in
d)
80 in
48.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet 
c)
10 feet
d)
4 feet
49.

what is the length of x?

a)

9mm

b)

4mm

c)

4/9mm

d)

36mm

50.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90