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WorksheetsChapter 7 Review
Total questions: 30
Worksheet time: 44mins
Name
Class
Date
1.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
2.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
3.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
4.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
5.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
6.
Are the triangles similar?
a)
Yes
b)
No
7.
Find missing side
a)
5
b)
7
c)
9
d)
11
8.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
9.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
10.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
11.
The figures are similar. Find the scale factor of the smaller figure to the larger figure.
a)
5:6
b)
6:5
c)
4:7
d)
2:3
12.
Find the value of x.
a)
6.92
b)
18.67
c)
2.625
d)
13.71
13.
A gymnasium is 96 feet long and 75 feet wide. On a blueprint, the gymnasium is 5.5 inches long. To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?
a)
4.3
b)
8.6
c)
6.4
14.
Solve for x
a)
7.5
b)
4.8
c)
13.33
d)
5
15.
Solve for x.
a)
3
b)
6
c)
8
d)
9
16.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
17.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft
18.
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
19.
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
20.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
21.
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
22.
The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰. A similar triangle is created by using a dilation with a scale factor of 2. What are the measures of the angles of this triangle?
a)
53⁰,78⁰, and 49⁰
b)
There is not enough information to answer this question.
c)
106⁰,156⁰, and 98⁰
d)
26.5⁰,39⁰, and 24.5⁰
23.
Triangle ABC and triangle DEF are similar. If sides AB and DE are in a ratio of 3:4 then the ratio of the areas of the triangles are in the ratio _______.
a)
3:4
b)
9:16
c)
27:64
d)
6:8
24.
All corresponding sides are congruent in any similar figure.
a)
True
b)
False
25.
Two shapes that are congruent are also similar
a)
False
b)
True
26.
Two shapes that are similar are also congruent
a)
True
b)
False
27.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
28.
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
29.
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
30.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
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