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Similarity Test
Contributed by: Clark
Similarity Test
Drag each number to the correct location on the figure.
8
12
?
6
?
8
?
5
10
?
HI=
PT=
A slide is 10 feet long and 6 feet high. How long is its 
base from the end of the slide to the bottom of the 
ladder?
ft
mm
Three baseball players are playing catch. Cassie is
4 meters south of Rudy and 3 meters west of Amy. 
How far does Rudy need to throw the ball to 
get it to Amy?
meters
Find the length of the hypotenuse. 
12
6
5
18
2
12√3
½
6√3
Find x. 
Type the similarity statement, if not similar, type NS. 
Are the triangles similar?
 yes
no
Type the similarity statement, if not similar, type NS. 
Which similarity theorem, 
if any, can be used to state 
that the two triangles
are similar?
SAS~
SSS~
AA~
Not Similar
Drag the correct similarity theorem to each pair 
of triangles
AA~
?
SAS~
?
SSS~
?
The triangles are similar. 
Find KJ. 
KJ=
The triangles are similar. Find PW. 
PW=
What is the scale factor from rectangle A to rectangle B?
5
3
1/3
1/5
A six-meter-long ladder leans against a building. If the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach?Round to the nearest tenth.
feet
Solve for x. Round your answer 
to the nearest tenth. 
Find the shadow cast by a 10 foot lamp post when 
the angle of elevation of the sun is 58º. Find the 
length to the nearest tenth of a foot.
6.2 ft
16.0 ft
11.8 ft
18.9 ft
A five-meter-long ladder leans against a wall, with the top of the
ladder being four meters above the ground. What is the 
approximate angle that the ladder makes with the ground?
90 degrees
53 degrees
39 degrees
51 degrees
Solve for θ. Round to the nearest degree. 
degrees
Solve for θ. Round to the nearest degree. 
degrees
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