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Worksheets7.3 Similarity
Total questions: 15
Worksheet time: 53mins
Name
Class
Date
1.
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
2.
Which of these figures are similar?
a)
QRST is similar to WXYZ
b)
ABCD is similar to QRST
c)
WXYZ is similar to ABCD
3.
The polygons are similar. Find x.
a)
x = 2
b)
x = 6
c)
x = 4
d)
x = 8
4.
Define:Similar
a)
Same shape, same size
b)
Different shape, same size
c)
Different size, same shape
d)
Different size, different shape
5.
Define:Congruent
a)
Different
b)
Same
6.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they have the same shape and the same angles
b)
No, the ratio of corresponding sides are not equal
c)
Yes, same shape
d)
No, different sizes
7.
What side corresponds with AB?
a)
BC
b)
FE
c)
DE
d)
FD
8.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
9.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
10.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
11.
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
12.
Find the missing side of the large triangle.
a)
13
b)
36
c)
12
d)
10
13.
What angle corresponds with A?
a)
D
b)
F
c)
C
d)
E
14.
Solve for x
a)
100
b)
1
c)
0.1
d)
10
15.
A frame is 4cm tall and 8cm wide. If it is reduced to a width of 4cm, then how tall will it be?
a)
2 cm
b)
8 cm
c)
4 cm
d)
6 cm
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