WorksheetsScale Factor for Similar Figures
Total questions: 33
Worksheet time: 1hrs 29mins
Name
Class
Date
1.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
2.
All angles in similar figures are congruent.
a)
True
b)
False
3.
Find missing side
a)
5
b)
7
c)
9
d)
11
4.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
5.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
6.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
7.
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
8.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
9.
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
10.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
11.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
12.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
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
13.
Angles in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
14.
Sara can type 90 words in 4 minutes. About how many words would you expect her to type in 10 minutes at this rate? (Use proportion)
a)
900 words
b)
180 words
c)
225 words
d)
360 words
15.
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
16.
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
17.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
18.
What is the scale factor from ΔDEF to ΔABC?
a)
2
b)
3/2
c)
2/3
d)
1/2
19.
Sides in similar figures must be proportional.
a)
True
b)
False
20.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
21.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
22.
The __________ is the ratio of a length of the image to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
23.
On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?
a)
100 km
b)
130 km
c)
70 km
d)
150 km
24.
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
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.
If a Scale Factor is between 0 and 1, then your figure gets...
a)
Smaller
b)
Bigger
c)
Does not change
27.
If a Scale Factor if greater than 1, then your figure gets...
a)
Smaller
b)
Bigger
c)
Does not change
28.
sf = 1/2
a)
Reduction
b)
Enlargement
29.
sf = 5
a)
Reduction
b)
Enlargement
30.
sf = 0.8
a)
Reduction
b)
Enlargement
31.
sf = 2.5
a)
Reduction
b)
Enlargement
32.
sf = 3/2
a)
Reduction
b)
Enlargement
33.
sf = 3.5
a)
Reduction
b)
Enlargement
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