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Unit 1 Scale Drawings

Total questions: 50

Worksheet time: 2hrs 40mins

Name
Class
Date
1.
What is a scale drawing?
a)
A drawing that shows a real object enlarged or reduced
b)
A drawing of the weight of an object
c)
A life size drawing of an object
d)
A drawing that shows all the sides of a building
2.
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
3.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
4.
Scale Factor of ½ is __________________ .
a)
Reduction
b)
Enlargement
5.

A scaled copy is a copy of a figure where every length in the original figure is _______________ by the same number.

a)

multiplied

b)

added

c)

divivided

d)

subtracted

6.
_________ ________ is the number you multiply by the sides to create a similar figure.
a)
Scale Factor
b)
Corresponding Angle
c)
Pi
d)
Mid Point
7.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
8.
Sides that are in the same position in a different shape are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
9.

Which of the following are scaled copies of the original image? Select ALL that apply

a)

A

b)

B

c)

C

d)

D

10.

Which side length on the scaled copy corresponds to the side length HJ on the original image?

a)

AB

b)

BC

c)

AC

11.
Find missing side
a)
5
b)
7
c)
9
d)
11
12.

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

a)

1/3

b)

48

c)

4

d)

3

13.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

14.

Which of the following are scaled copies of the original portrait? Select ALL the apply.

a)

A

b)

B

c)

C

d)

D

e)

E

15.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
16.

How is Figure F reduced to Figure B?

a)

Multiply each side by 1/2

b)

Multiply each side by 1/3

c)

Multiply each side by 1/4

d)

Multiply each side by 1/5

17.

Identify the scale factor. Write in simplest form. Reduce it as you would reduce

fraction.

blueprint (cm) = 2

Real house (ft) = 4

a)

2

b)

4

c)

12\frac{1}{2}  

d)

13\frac{1}{3}  

18.

Identify the scale factor. Write in simplest form. Reduce it as you would reduce

fraction.

toy alligator (inches) = 7

Real alligator (inches) = 175

a)

125\frac{1}{25}  

b)

115\frac{1}{15}  

c)

7

d)

175

19.

Identify the scale factor. Write in simplest form. Reduce it as you would reduce

fraction.

Toy eraser pencil = 2 cm

Real pencil = 11 cm

a)

111\frac{1}{11}  

b)

15.5\frac{1}{5.5}  

c)

11

d)

2

20.

The scale of a room in a blueprint in 2 inches : 5 feet. The measurement of a wall on the blueprint is inches. Complete the table to help you answer this question.

A wall on the blueprint measures 12 inches. How long is the actual wall?

a)

30 ft

b)

25 ft

c)

20 ft

d)

10 ft

21.

The scale of a room in a blueprint in 2 inches : 5 feet. The measurement of a wall on the blueprint is inches. Complete the table to help you answer this question.

An actual picture window in the room is 10 ft. What would it measure on the blueprint?

a)

2 in

b)

8 in

c)

10 in

d)

4 in

22.

In the scale drawing to the left, assume the rectangle is drawn on centimeter grid paper. The scale is 1cm : 4m or 1cm4m\frac{1cm}{4m}  . Use the drawing to answer the following question.

What is the WIDTH of the real or actual rectangle?

a)

4m

b)

8m

c)

16m

d)

20m

23.

In the scale drawing to the left, assume the rectangle is drawn on centimeter grid paper. The scale is 1cm : 4m or 1cm4m\frac{1cm}{4m}  . Use the drawing to answer the following question.

What is the LENGTH of the real or actual rectangle?

a)

4m

b)

8m

c)

16m

d)

20m

24.

The scale drawing is 2cm : 10 m or 2cm10m\frac{2cm}{10m} . Use the scale to answer the question below about the rectangle.

What is the WIDTH of the real or actual rectangle?

a)

4 m

b)

8 m

c)

16 m

d)

20 m

25.

A scale drawing of a car is presented in the following three scales. Order the scale drawings from smallest to largest. (There are about 1.1 yards in a meter, and 2.54 cm in an inch.)

1 in to 1 ft 1 in to 1 m 1 in to 1 yd

a)

b, c, a

b)

a, b, c

c)

c, b, a

d)

a, c, b

26.

Xavier drew a scale drawing of a house and its lot. The front patio is 8 millimeters long in the drawing. The actual patio is 28 meters long. What scale factor does the drawing use?

a)

1/3500

b)

1/350

c)

1/30

d)

1/28

27.

Amelia measured the auditorium and made a scale drawing. In real life, the stage is 54 feet long. It is 3 inches long in the drawing. What is the drawing's scale factor?

a)

1/21

b)

1/54

c)

1/216

d)

1/3

28.

Ronald measured a petting zoo and made a scale drawing. The goat pen is 6 millimeters wide in the drawing. The actual pen is 12 meters wide. What scale factor does the drawing use?

a)

1/2000

b)

1/12

c)

1/200

d)

6/12

29.
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
175 miles
c)
100 miles
d)
125 miles
30.
A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
a)
90 ft
b)
7.5 ft 
c)
4.5 ft
d)
45 in
31.
Maura is building a 2 ft. tall model of the Gateway Arch in St. Louis, Missouri.  The scale is 3 in : 78.75 ft.  Estimate the height of the actual arch.
a)
630
b)
600
c)
400
d)
200
32.
From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find the actual distance.
a)
300 miles
b)
1000 miles
c)
900 miles
d)
600 miles
33.
A blueprint was using a scale of 3cm = 4.5m. Find the actual length if it is 5cm on the drawing. (Hint: simplify the scale first)
a)
7.5
b)
13.5
c)
1.5
d)
1.7
34.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in 
b)
7 in
c)
42 in
d)
56 in
35.

Fairview and Rockville are 104 miles from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 miles?


Choose the correct proportion.

a)

1 cm13 miles=x cm104 miles\frac{1\ cm}{13\ miles}=\frac{x\ cm}{104\ miles}

b)

1 cm104 miles=x cm13 miles\frac{1\ cm}{104\ miles}=\frac{x\ cm}{13\ miles}

c)

104 miles13 miles=1 cmx cm\frac{104\ miles}{13\ miles}=\frac{1\ cm}{x\ cm}

d)

13 miles1 cm=x cm104 miles\frac{13\ miles}{1\ cm}=\frac{x\ cm}{104\ miles}

36.
A scale model of a whale is being built. The actual length of the whale is 65 feet. The scale of the model is 2 in : 3 ft. What will be the length of the model?
a)
97.5 inches
b)
30.6 inches
c)
41.56 inches
d)
43.33 inches
37.

What is a scale drawing?

a)

An accurate drawing of an actual object or place.

b)

This line segment from the center of a circle to a point on the circle.

c)

When two lines cross, they form two pairs of vertical angles across from one another.

d)

An image that has been made bigger and all the angles change size.

38.

A scale drawing of a mountain is 17.8 inches high. Determine the actual height of the moutain 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

39.

Jim is creating a scale drawing of an airplane. The scale factor is 1 in = 7 feet. The length of the actual airplane is 52 feet. What is the length of the airplane in the scale drawing?

a)

7/52 inches

b)

7 3/7 inches

c)

45 inches

d)

59 inches

40.

The scale on a drawing for a new pool is 2 inches = 9 feet. If the length of the pool on the drawing is 13 inches. What is the actual length of the pool?

a)

58.5 feet

b)

50 inches

c)

53 feet

d)

1.38 feet

41.

What must stay the same in order for something to be a scale copy?

a)

shape

b)

color

c)

length

d)

size

42.

What needs to change for something to be a scale copy?

a)

color

b)

size

c)

shape

d)

parallelogram

43.

Solve for x and y

a)

x = 12 y = 7

b)

x = 8 y = 6

c)

x= 0.5 y=3

d)

x = 112 y = 84

44.

If I want to enlarge an image I need to. . . . . .

a)

add

b)

divide

c)

multiply

d)

subtract

45.

If I want to reduce the size of an image I need to . . . .

a)

add

b)

subtract

c)

multiply

d)

divide

46.

Is Figure B a scaled copy of Figure A?

a)

Yes

b)

No

47.
This scale drawing shows a parking lot. What is the length of the longer side of the actual lot? 
a)
63 m
b)
235 m
c)
315 m
d)
630 m
48.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
49.
**** 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
50.
What side corresponds with AB? 
a)
BC
b)
FE
c)
DE
d)
FD