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Test 3 Study Guide Final Review

Total questions: 22

Worksheet time: 1hrs 6mins

Name
Class
Date
1.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
2.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
3.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
4.
Find the height of the person using what you know about similar triangles.
a)
4 ft
b)
6.25 ft
c)
1.25 ft
d)
5.75 ft
5.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
6.

Which proportion would allow you to solve for the missing side, x?

a)

A

b)

B

c)

C

d)

D

7.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
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.

An architect built a scale model of a music theater using a scale in which 4 inches represents 30 feet. The height of the theater is 120 feet.

What is the height of the scale model in inches?

a)

1 in.

b)

75 in.

c)

16 in.

d)

120 in.

11.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

12.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
13.
Are the triangles similar?
a)
Yes
b)
No
14.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
15.

Find the value of x.

(a)  

16.

What reasons can be given to support line 2?

a)

Corresponding Angles

b)

Vertical Angles

c)

Alternate Interior Angles

17.

Determine how the triangles are similar.

a)

SSS ~

b)

AA ~

c)

SAS ~

18.
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
19.

Which similarity theorem, if any, proves that these triangles are similar?

a)

SSS ~

b)

SAS ~

c)

AA ~

d)

None, the triangles are not similar

20.

Which similarity theorem, if any, proves these triangles are similar?

a)

SSS ~

b)

SAS ~

c)

AA ~

d)

None, the triangles are not similar

21.

Which similarity theorem, if any, proves these triangles are similar?

a)

AA ~ Theorem

b)

SAS ~ Theorem

c)

SSS ~ Theorem

d)

Not similar

22.

Which similarity theorem, if any, proves these triangles are similar?

a)

AA ~ Theorem

b)

SAS ~ Theorem

c)

SSS ~ Theorem

d)

Not similar

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