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WorksheetsSimilar Triangles and Proportional Lengths
Total questions: 23
Worksheet time: 56mins
Name
Class
Date
1.
Which is NOT true about similar triangles.
a)
The angles in the triangles are congruent to each other.
b)
The sides are proportional to each other.
c)
The angles in each triangle add up to 180o.
d)
The triangles must have at least one side that is the same length.
2.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
3.
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.
4.
Which is NOT true about similar triangles.
a)
The angles in the triangles are congruent to each other.
b)
The sides are proportional to each other.
c)
The angles in each triangle add up to 180o.
d)
The triangles must have at least one side that is the same length.
5.
Are the triangles similar?
a)
Yes
b)
No
6.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional
b)
proportional, congruent
c)
congruent, congruent
d)
proportional, proportional
7.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
8.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
9.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
10.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
11.
Find the missing length.
a)
21
b)
18
c)
16
d)
24
12.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
13.
Find the missing length indicated.
a)
45
b)
28
c)
7
d)
30
14.
Find the missing length indicated.
a)
3
b)
12
c)
27
d)
24
15.
Solve for x.
a)
4
b)
9
c)
3
d)
7
16.
Find the missing length indicated. Leave your answer in simplest radical form.
a)
64
b)
12
c)
9
d)
100
17.
Find the missing length indicated. Leave your answer in simplest radical form.
a)
60
b)
100
c)
80
d)
20
18.
Given the diagram at the right, as labeled, find CD.
a)
2
b)
4
c)
25
d)
45
19.
a?=ca
a)
c+d
b)
d
c)
c
d)
e
20.
a)
A
b)
B
c)
C
d)
D
21.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
22.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
23.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
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