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Similar polygons review

Total questions: 19

Worksheet time: 44mins

Name
Class
Date
1.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
2.

The triangles are similar by...

a)

SAS

b)

AA

c)

Not Similar

d)

SSS

3.

The triangles are similar by...

a)

SAS

b)

AA

c)

Not Similar

d)

SSS

4.
Are the triangles similar? If so, what similarity shortcut is used? Show all work.
a)
Similar.  SAS
b)
Similar.  AA
c)
Similar. SSS
d)
Not Similar
5.
Find missing side
a)
5
b)
7
c)
9
d)
11
6.

What is the scale factor from the smaller triangle to the larger triangle?

a)

2

b)

1.5

c)

0.666666666667

d)

0.5

7.

The figures are similar. Find the scale factor of the smaller figure to the larger figure.

a)

0.4

b)

1.6666666666667

c)

0.6

d)

0.33333333333333

8.

What is the scale factor from ΔDEF to ΔABC?

a)

0.5

b)

0.3333333333333333333333

c)

2

d)

3.3333333333333333333333

9.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
10.
The measures of the angles in a triangle are in the extended ratio of 4:3:2.  What is the measure of the largest angle?
a)
20 degrees
b)
60 degrees
c)
90 degrees
d)
80 degrees
11.
The ratio of the measures of the angles in a triangle is 8:3:4. Find the measures of the smallest angle.
a)
12
b)
48
c)
36
d)
96
12.
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
13.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
14.

Solve for x.

a)

10

b)

5

c)

7

d)

4

15.
What is the value of the missing segment?
a)
15
b)
20
c)
6
d)
16
16.
What is the value of the missing segment?
a)
15
b)
12
c)
14
d)
16
17.
What is geometric mean of 4 and 9?
a)
5
b)
6
c)
7
d)
8
18.
Find the value of y. 
a)
4
b)
2√6
c)
6√2
d)
12
19.
a)

x=2√15

y=2√10

b)

x=2√10

y=2√15

c)

x=10

y=15

d)

x=2

y=2