WorksheetsSimilarity and Proportion Lesson
Total questions: 22
Worksheet time: 47mins
Name
Class
Date
1.
If two polygons are similar, then the corresponding side lengths are ___________.
a)
congruent
b)
similar
c)
equal
d)
proportional
2.
If two polygons are similar, then the corresponding angles are ___________.
a)
congruent
b)
similar
c)
equal
d)
proportional
3.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
4.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
5.
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
6.
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
7.
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
8.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
9.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
10.
A __________ is a comparison of two quantities.
a)
transformation
b)
scale
c)
ratio
d)
graph
11.
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.
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.
The perimeter of a rectangle is 280 cm. The ratio of the width to the length is 3:4. What is the length of the rectangle?
a)
20
b)
40
c)
60
d)
80
14.
Solve the equation for x:
a)
17
b)
16
c)
15
d)
14
15.
Solve the proportion:
a)
4
b)
21
c)
24
d)
3
16.
Solve for x.
a)
10
b)
18
c)
20
d)
12
17.
Solve for x.
a)
8
b)
6
c)
10
d)
12
18.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
19.
Solve for x. The two figures are similar.
a)
x = 6
b)
x = 9
c)
x = 7
d)
x = `0
20.
What side corresponds with AB?
a)
BC
b)
FE
c)
DE
d)
FD
21.
Find x and y.
a)
4, 24
b)
9, 12
c)
6, 8
22.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
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