WorksheetsG.7 Similarity
Total questions: 20
Worksheet time: 51mins
Name
Class
Date
1.
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
2.
Determine whether the triangles are similar(name the postulate or theorem you used).
a)
SSS similar
b)
AA similar
c)
SAS similar
3.
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
4.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
5.
Complete each proportion.
AB / BM = ? / CD
AB / BM = ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
6.
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
7.
⊿ABC ~ ⊿LMN, AB = 12, BC = 10, LN = 9, and LM = 6. What is the scale factor of ⊿ABC to ⊿LMN?
a)
2/1
b)
6/5
c)
4/3
d)
1/2
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.
Solve for x.
a)
x = 5
b)
x = 3
c)
x = 14
d)
x = 1
10.
Are these triangles similar?
a)
No
b)
Yes by SSS∼
c)
Yes by AA∼
d)
Yes by SAS∼
11.
What is the value of X?
a)
X=4
b)
X=6
c)
X=3
d)
X=2
12.
Complete the similarity statement.
ABC ~ ___
ABC ~ ___
a)
ZYX
b)
XZY
c)
YZX
d)
XYZ
13.
Find the measure of the midsegment.
MS= 1/2(base +base)
MS= 1/2(base +base)
a)
21
b)
9
c)
4.5
d)
10.5
14.
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.
15.
How does a dilation change the angles of a polygon?
a)
It changes by the scale factor.
b)
Dilations do not change the angles.
c)
It is impossible to answer this question. The angles change unpredictably.
d)
The angles all change to larger angles.
16.
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
17.
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
18.
Scale factor?
a)
2/3
b)
1/2
c)
2
d)
3
19.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
20.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
100 %
