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Similar Triangles Unit Review

Total questions: 15

Worksheet time: 50mins

Name
Class
Date
1.
a)
5
b)
10
c)
12
d)
15
2.
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
3.
a)
8
b)
9.5
c)
10
d)
10.5
4.
Are the triangles similar?
a)
Yes
b)
No
5.
Are the triangles similar?
a)
Yes
b)
No
6.
Find side length X.
a)
30
b)
25
c)
15
d)
40
7.
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
8.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
9.

Complete each proportion.
 CBDM=AC?\frac{CB}{DM}=\frac{AC}{?}  

a)

BM

b)

MA

c)

BC

d)

AD

10.

Complete each proportion.
AB / BM = ? / CD ABBM=?CD\frac{AB}{BM}=\frac{?}{CD}  

a)

BC

b)

AC

c)

MD

d)

MC

11.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
12.
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
13.
a)
5
b)
10
c)
12
d)
15
14.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
15.

What can you use to prove the triangles are similar? Check all that apply, 3.

a)

Share a common Angle

b)

They look similar

c)

Since two angles are congruent, they are similar

d)

The tree and flagpole are both perpendicular to the ground

e)

They are not similar