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Worksheets

Use Similar Polygons

Total questions: 25

Worksheet time: 2hrs 48mins

Name
Class
Date
1.
Find the missing angle.
a)
38° 
b)
42° 
c)
58° 
d)
60° 
2.
The two right triangles below are similar. What is x, the missing side length in triangle DEF? 
a)
3.75
b)
9.75
c)
10
d)
12
3.
Which triangle is similar to the above triangle ?
a)
A
b)
B
c)
C
d)
D
4.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger

figure.

a)

a

b)

b

c)

c

d)

d

5.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger

figure.

a)

a

b)

b

c)

c

d)

d

6.

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger

figure.

a)

a

b)

b

c)

c

d)

d

7.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
8.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
9.
Solve for x.
a)
12
b)
18
c)
9
d)
36
10.
Solve for x.
a)
3
-----
10
b)
10
-----
3
c)
44x+24
-----------
(2x+4)(4)
d)
30
------
3.1
11.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
12.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
13.
Complete each proportion.
AB / BM  =  ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
14.
Solve for f.
a)
6
b)
4
c)
3
d)
8
15.
Similarity Ratio: _
a)
2/3
b)
1/2
c)
2
d)
3
16.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SAS

b)

AA

c)

SSS

d)

not similar

17.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

a)

SSS

b)

AA

c)

SAS

d)

not similar

18.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. Select all that applies.

a)

AA

b)

SAS

c)

SSS

d)

not similar

19.

The polygons are similar. Find the value of x.

a)

3

b)

21

c)

9

d)

24

20.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
21.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
22.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
23.
How do these triangles appear to be similar?
a)
AA
b)
not similar
c)
SSS
d)
SAS
24.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
25.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar