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WorksheetsSimilar triangles grade 8
Total questions: 21
Worksheet time: 21mins
Name
Class
Date
1.
Are the triangles similar?
a)
Yes
b)
No
2.
How do these triangles appear to be similar?
a)
AA
b)
Ratio of two sides and an included angle equal
c)
Three sides proportional
d)
Not Similar
3.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
4.
What does it mean for two shapes to be similar?
a)
Same shape, but different size.
b)
Same size and same shape.
c)
Their angles add up to 180o.
d)
They are congruent.
5.
Which angle corresponds to angle D?
a)
∠E
b)
∠F
c)
∠S
d)
∠T
e)
∠U
6.
Which side corresponds to AC?
a)
PR
b)
EF
c)
AB
d)
BA
e)
QR
7.
a)
15
b)
13
c)
11
d)
17
8.
a)
28.8 feet
b)
500 feet
c)
45 feet
d)
0.002 feet
9.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
10.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
11.
What is the ratio of the side lengths?
a)
1.25
b)
1.5
c)
2
d)
2.5
12.
Find side length X.
a)
30
b)
25
c)
15
d)
40
13.
How long is side x?
a)
3
b)
1.5
c)
8
d)
2/3
14.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
15.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
16.
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
17.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
18.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
19.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
20.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
21.
a)
X = 35, Y = 8
b)
X = 2.86, Y = 98
c)
X = 98, Y = 2.86
d)
X = 8, Y = 35
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