WorksheetsFind the Scale Factor Proportions
Total questions: 29
Worksheet time: 3hrs 6mins
Name
Class
Date
1.
What is the scale factor from triangle ABC to triangle DEF?
a)
1/2
b)
7/3
c)
2/1
d)
10/3
2.
If the scale factor is 4, what is the measurement of x?
a)
20 m
b)
24 m
c)
16 m
d)
4 m
3.
Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____
____ = ____
a)
39 inches
b)
156 inches
c)
38 inches
d)
157 inches
4.
Solve the proportion.
____ = ____
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
5.
Do the ratios form a proportion?
____ = ____
____ = ____
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
6.
Find missing side
a)
5
b)
7
c)
9
d)
11
7.
The pair of figures are similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
8.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
9.
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
10.
The two right triangles below are similar. What is x, the missing side length in triangle DEF?
a)
3.75
b)
9.75
c)
10
d)
12
11.
When a scale drawing becomes larger than the original it is called a ...
a)
ballooner
b)
enlargement
c)
reduction
d)
correlation
12.
A scale drawing that measures 8 units wide and an original that measures 4 units wide has a scale factor of...
a)
2:1
b)
8:1
c)
bigger
d)
1:2
13.
If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?
a)
300
b)
4.8
c)
3
d)
4
14.
What is the scale factor from triangle ABC to triangle DEF?
a)
1/2
b)
7/3
c)
2/1
d)
10/3
15.
Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____
____ = ____
a)
39 inches
b)
156 inches
c)
38 inches
d)
157 inches
16.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.
____ = ____
____ = ____
a)
c=15
b)
c=18
c)
c=21
d)
c=16
17.
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
18.
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
19.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
20.
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.
21.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
22.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
23.
Find missing side
a)
5
b)
7
c)
9
d)
11
24.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
25.
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
26.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
27.
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
28.
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
29.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
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