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WorksheetsGeometry Unit 6 Similar Triangles
Total questions: 23
Worksheet time: 2hrs 59mins
Name
Class
Date
1.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
2.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
3.
Find side length X.
a)
30
b)
25
c)
15
d)
40
4.
If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?
**hint: draw it out**
**hint: draw it out**
a)
41.7 ft
b)
36.6 ft
c)
34.6 ft
d)
38.8 ft
5.
State the postulate that proves these triangles are similar.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
6.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
7.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
8.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
9.
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
10.
Give the reason for similarity
a)
AA
b)
Not Similar
c)
SAS
d)
SSS
11.
The ratio of 3 angles of a triangle are 4:5:6. Find the measure of the smallest angle.
a)
12
b)
48
c)
60
d)
72
12.
Are the triangles similar? If so, what similarity test is used?
a)
Similar. SAS
b)
Similar. AA
c)
Similar. SSS
d)
Not Similar
13.
How are these triangles similar?
a)
A
b)
B
c)
C
d)
D
14.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?
a)
9 m
b)
15.2 m
c)
12 m
d)
17.5 m
15.
If the triangles are similar, find x
a)
90
b)
60
c)
30
d)
15
16.
If ∆PRQ ~ ∆TRS, find the length of SR.
a)
29
b)
57
c)
38
d)
90
17.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
18.
Determine if DE is parallel to AC.
a)
Parallel
b)
Not Parallel
c)
Cannot determine
19.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
20.
Are these triangles similar?
a)
Yes, by SAS
b)
Yes, by AA
c)
Yes, by SSS
d)
Not similar
21.
Determine if the triangles are similar.
a)
Yes, by AA
b)
Yes, by SAS
c)
Yes, by SSS
d)
Not similar
22.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
23.
Two shapes that are congruent are also similar
a)
False
b)
True
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