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WorksheetsSimilar Figures, Scale Factor, & Shadow problems
Total questions: 26
Worksheet time: 2hrs 10mins
Name
Class
Date
1.
Which triangle is similar to the above triangle?
a)
A
b)
B
c)
C
d)
D
2.
a)
74
b)
100
c)
104
d)
108
3.
A tree is 72 feet tall and has a shadow that is 12 feet long. A nearby tree has a shadow of 5 feet. How tall is the tree?
a)
3 ft.
b)
300 ft.
c)
30 ft.
d)
35 ft.
4.
Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.
a)
20
b)
25
c)
100
d)
40
5.
Triangle ABC and XYZ are similar. What is the scale factor or multiplier used to make the the smaller one larger?
a)
2
b)
½
c)
⅖
d)
5/2
6.
What is the corresponding side to line segment AC?
a)
Line Segment CB
b)
Line Segment AB
c)
Line Segment XZ
d)
Line Segment ZY
7.
Find missing side
a)
5
b)
7
c)
9
d)
11
8.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
9.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
10.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
11.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
12.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
13.
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
14.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
15.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
16.
What is the scale factor from ΔDEF to ΔABC?
a)
2
b)
3/2
c)
2/3
d)
1/2
17.
Find y.
a)
144
b)
18
c)
72
d)
12
18.
Find the height of the tree.
a)
x = 0.0625 ft.
b)
x = 48 ft
c)
x = 16 ft.
19.
Find the scale factor of the enlargement from C to A
a)
2
b)
1/2
c)
3
d)
1/3
20.
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
21.
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.
22.
a)
8 ft
b)
12 ft
c)
12.5 ft
d)
25 ft
23.
Which side length on the scaled copy corresponds to the side length HJ on the original image?
a)
AB
b)
BC
c)
AC
24.
Identify the side length in Figure 1 that corresponds to the side length MQ in figure 2.
a)
BC
b)
AE
c)
CD
d)
DE
25.
a)
3
b)
4
c)
5
d)
6
26.
A tree is 72 feet tall and has a shadow that is 12 feet long. A nearby tree has a shadow of 5 feet. How tall is the tree?
a)
3 ft.
b)
300 ft.
c)
30 ft.
d)
35 ft.
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