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WorksheetsSimilarity of Triangles
Total questions: 15
Worksheet time: 6mins
Name
Class
Date
1.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
2.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
3.
How are these triangles similar?
a)
A
b)
B
c)
C
d)
D
4.
What is the height of the Tree?
a)
20
b)
15
c)
30
d)
10
5.
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
6.
Are the triangles similar? If so, what similarity test is used?
a)
Similar. SAS
b)
Similar. AA
c)
Similar. SSS
d)
Not Similar
7.
What is the scale factor from MNOP to ABCD?
a)
2/3
b)
1/2
c)
3/2
d)
2
8.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
9.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
10.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
11.
Are the triangles similar? Explain.
a)
No, because only one angle of the triangles is congruent.
b)
Yes, because two of the angles are congruent.
c)
No, because only one triangle has a right angle.
d)
Not enough information to determine.
12.
Are Triangle ABC and Triangle XYZ similar?
a)
No, corresponding angles are not congruent
b)
No, corresponding sides are not proportional
c)
Yes, corresponding angles are congruent
d)
Yes, corresponding sides are proportional
13.
Triangle ABC is congruent to Triangle XYZ. What side corresponds to XZ?
a)
BC
b)
AB
c)
AC
d)
XY
14.
Find the missing side using proportions.
a)
a
b)
b
c)
c
d)
d
15.
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.
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