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WorksheetsUNIT 8-L1-SIMILAR FIGURES
Total questions: 50
Worksheet time: 2hrs 59mins
Name
Class
Date
1.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
2.
Find missing side
a)
5
b)
7
c)
9
d)
11
3.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
4.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
5.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
6.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
7.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
8.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
9.
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
10.
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.
11.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
12.
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
13.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
14.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
15.
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
16.
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
17.
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
18.
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.
19.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
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.
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
23.
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
24.
A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.
a)
7.5
b)
13.5
c)
1.5
d)
1.7
25.
A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?
a)
9ft x 10ft
b)
1ft x 2ft
c)
12ft x 6ft
d)
18ft x 20ft
26.
The distance from Point A to Point B on a scale drawing is 6 cm. If the scale is 1cm : 10m. What is the actual distance from A to B?
a)
6 m
b)
10 m
c)
18 m
d)
60 m
27.
a)
120
b)
110
c)
150
d)
140
28.
a)
F
b)
G
c)
H
d)
J
29.
a)
A
b)
B
c)
C
d)
D
30.
a)
F
b)
G
c)
H
d)
J
31.
a)
-16.25
b)
16.25
c)
15.25
d)
16.75
32.
a)
F
b)
G
c)
H
d)
J
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
F
b)
G
c)
H
d)
J
35.
a)
A
b)
B
c)
C
d)
D
36.
a)
F
b)
G
c)
H
d)
J
37.
a)
A
b)
B
c)
C
d)
D
38.
Tell whether the two figures are similar. Explain your reasoning.
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
39.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
40.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
41.
Solve for x.
a)
16
b)
11
c)
50
d)
6
42.
Solve for x
a)
6
b)
140
c)
20
d)
90
43.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
44.
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
What is the value of x in centimeters?
a)
22.5 cm
b)
8 cm
c)
10.8 cm
d)
30 cm
45.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
46.
Triangle PQR is similar to triangle XYZ.
What is the length of line segment XZ?
What is the length of line segment XZ?
a)
11 in.
b)
13.5 in.
c)
9 in.
d)
20.25 in.
47.
Parallelogram PQRS is similar to parallelogram WXYZ.
What is the length of line segment YZ?
What is the length of line segment YZ?
a)
3 units
b)
11.6 units
c)
5 units
d)
4.5 units
48.
Triangle ABC is similar to triangle XYZ. What is the length of line segment BC?
a)
5 cm
b)
7.5 cm
c)
8 cm
d)
9 cm
49.
Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?
a)
20 feet
b)
24 feet
c)
29 feet
d)
51 feet
50.
If triangles ADE and ABC shown in the figure above are similar, what is the value of x?
a)
4
b)
5
c)
6
d)
8
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