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Worksheets

Similar Triangles

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Are the triangles similar? If so, complete the congruence statement and give the reason. If not, explain why not. Triangle ABX ~ ____

a)

Triangle QRX

by AA~

b)

Triangle RQX

by AA~

c)

Triangle RQX

by SAS~

d)

Not Similar because only 1 pair of congruent angles

e)

Not Similar because sides are not proportional

2.

Are the triangles similar? If so, complete the congruence statement and give the reason. If not, explain why not. Triangle MPX ~ ____

a)

Triangle LWA

by SAS~ or SSS~

b)

Triangle LAW

by SAS~ or SSS~

c)

Triangle LWA

by AA~

d)

Not Similar because only 1 pair of congruent angles

e)

Not Similar because sides are not proportional

3.

Are the triangles similar? If so, complete the congruence statement and give the reason. If not, explain why not. Triangle PQM ~ ____

a)

Triangle MAB

by SAS~

b)

Triangle ABM

by AA~

c)

Triangle BAM

by SAS~

d)

Not Similar because only 1 pair of congruent angles

e)

Not Similar because sides are not proportional

4.

Why are the triangles similar? Find the scale factor and find the value of x.

a)

AA~

SF: 5/9

x=10.8

b)

AA~

SF: 2/3

x=7.5

c)

SAS~

SF: 2/3

x=7.5

d)

SAS~

SF: 5/9

x=10.8

e)

SSS~

SF: 2/3

x= 3.33.\overline{3}  

5.

Why are the triangles similar? Find the scale factor and find the value of x.

a)

SSS~

SF: 4/5

x=8.8

b)

SAS~

SF: 4/5

x=8.8

c)

SAS~

SF: 5/6

x=13.2

d)

SAS~

SF: 4/5

x=13.75

e)

SSS~

SF: 5/6

x= 9.169.1\overline{6}   

6.

Why are the triangles similar? What is the scale factor?

a)

AA~

SF: 7/4

b)

SAS~

SF: 1/3

c)

SAS~

SF: 7/4

d)

AA~

SF: 12/7

e)

AA~

SF: 1/3  

7.

Why are the triangles similar? Find the scale factor and find the value of x.

a)

SAS~

SF: 3/2

x= 11.311.\overline{3}  

b)

SAS~

SF: 3/2

x=25.5

c)

SSS~

SF: 3/2

x=25.5

d)

SAS~

SF: 3/5

x= 28.328.\overline{3}  

e)

SSS~

SF: 3/5

x=27   

8.

Why are the triangles similar? Find the scale factor and find the value of x.

a)

SAS~

SF: 4/3

x= 10.610.\overline{6}  

b)

AA~

SF: 3/8

x=9

c)

AA~

SF: 3/8

x= 6.66.\overline{6}  

d)

SAS~

SF: 3/8

x=  6.66.\overline{6}  

e)

SAS~

SF: 3/4

x=9 

9.

Why are the triangles similar? Find the scale factor and find the value of x.

a)

AA~

SF: 1/3

x=36 

b)

SAS~

SF: 2/7

x=49

c)

SAS~

SF: 3/1

x=36 

d)

AA~

SF: 7/2

x= 49 

e)

SSS~

SF: 1/3

x=40

10.

In sunlight, a vertical yardstick casts a 1-ft shadow

       at the same time that a nearby tree casts a 15ft

       shadow. How tall is the tree?

            (Hint: How many feet are in a yard?)

a)

17 ft

b)

45 ft

c)

15 ft

d)

5 ft

e)

13 ft