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WorksheetsSimilar Triangles & Proportionality
Total questions: 29
Worksheet time: 1hrs 29mins
Name
Class
Date
1.
Find the missing length indicated.
a)
6
b)
10
c)
5
d)
12
2.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
3.
Solve for x.
a)
25
b)
10
c)
-10
d)
-25
4.
Find the missing length indicated.
a)
16
b)
8
c)
10
d)
14
5.
Find the missing length indicated.
a)
28
b)
8
c)
20
d)
14
6.
Solve for x.
a)
8
b)
6
c)
5
d)
-8
7.
Find the missing length indicated.
a)
42
b)
11
c)
21
d)
30
8.
Find the missing length indicated.
a)
5
b)
12
c)
14
d)
7
9.
Solve for x.
a)
7
b)
14
c)
10
d)
5
10.
Solve for x.
a)
10
b)
2
c)
11
d)
5
11.
Determine whether the triangles are similar(name the postulate or theorem you used).
a)
SSS similar
b)
AA similar
c)
SAS similar
12.
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
13.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
14.
Complete each proportion.
AB / BM = ? / CD
AB / BM = ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
15.
What is the value of X and Y ?
a)
X=2.5 and Y=6.5
b)
X=6.5 and Y=2.5
c)
X=3 and Y=7
d)
X=2 and Y= 5
16.
Complete the similarity statement.
ABC ~ ___
ABC ~ ___
a)
ZYX
b)
XZY
c)
YZX
d)
XYZ
17.
Are these triangles similar?
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 60⁰,40⁰
Known angles in Triangle 1: 40⁰,60⁰
Known angles in Triangle 2: 60⁰,40⁰
a)
Yes
b)
No
c)
There is not enough information to decide.
18.
Are these triangles similar?
Angles in Triangle 1: 40⁰,60⁰, and 80⁰
Angles in Triangle 2: 40⁰,50⁰, and 90⁰
Angles in Triangle 1: 40⁰,60⁰, and 80⁰
Angles in Triangle 2: 40⁰,50⁰, and 90⁰
a)
Yes
b)
No
c)
There is not enough information to decide.
19.
2 triangles are similar if _____________.
a)
their angles are congruent.
b)
their sides are congruent.
c)
their areas are equal.
d)
their perimeters are equal.
20.
How many pairs of congruent angles in 2 triangles are needed to prove the 2 triangles are similar?
a)
2 or 3
b)
1
c)
0
d)
only 3
21.
The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰. A similar triangle is created by using a dilation with a scale factor of 2. What are the measures of the angles of this triangle?
a)
53⁰,78⁰, and 49⁰
b)
There is not enough information to answer this question.
c)
106⁰,156⁰, and 98⁰
d)
26.5⁰,39⁰, and 24.5⁰
22.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
23.
Similarity Ratio: _
a)
2/3
b)
1/2
c)
2
d)
3
24.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
25.
SF=
a)
2
b)
12
c)
1/2
d)
10
26.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
27.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
28.
What is the value of X?
a)
X=4
b)
X=6
c)
X=3
d)
X=2
29.
Are these triangles similar?
a)
No
b)
Yes by SSS∼
c)
Yes by AA∼
d)
Yes by SAS∼
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