Geometry: Chp 7 REVIEW Ratios & Proportions
Solve for x.

a

8

=

16

32

x=

2

Solve for x.

3

5

=

5

  6

x+3

7

12

If
then,

4

3

=

4b

a

b

=

4b

4+b

3a

ab

Find the ratio of the short side to the long side

in simplest form.

10/50

50

1/5

10

5/1

5

Solve for m.

 2

 11

=

33

m=
Are the shapes similar?

13

6

  yes

5
5

  no

Solve for m.

8

12

=

24

m=
Solve for  the variable.
Round to the nearest tenth.

7

18

x=
x

10

Solve for  the variable.
12

7

12
Round answer to nearest  tenth.
x=

5

x

8

What is the similarity ratio of ∆DFG to ∆HKM?

F

D

10

15

G
H
K

7

10.5

M

7:10

15:7

10:7

10.5 :7

1.  Similar figures have the same shape.

3.  The corresponding sides of similar figures are

     NOT  proportional.

2.  The angles of similar figures are not equal.

Type    true   or  false.

A

B

Complete the proportion.
C
X

X

B

=
A
∆BCA ~ ∆
Complete the similarity statement.
B
C
X
Z
Y

The Sear Tower is 1450ft high. 

A model of the tower is 2 feet high. 

What is the ratio of the height

of the model to the height of the actual tower?

Make sure ratio is in lowest terms.

If  ABCDE ~ GHJDF, then
<E =

GH

DJ

Use capital letters for your answers.
=
<
AB
4
6

8

x

Round answer

to nearest tenth.

Solve for X.

Find the geometric  mean between the  numbers.

Round all answers to the nearest tenth.

13 and 29
56 and 99  

Given the  triangles are

similar, solve for x.

Round answer to

nearest tenth.

x
15

36

4

Solve for x.

Round answer to

nearest tenth.

x
9
9
17
12
x
11.6
8.3
6.7

  4.8

  14.4

  9.4

  1.7

Solve for x.

28

x

42

26

Solve for x.

Round answer

to nearest

tenth.

 

x=
14

Are the triangles similar?

8
30'
30'
4
7
type yes or no
∆QRS &#126;  ∆TUV.  What is the measure of <V?
Q
63'
R
47'
<V =
S
T
U
V
F
E
D
G
J
A
H
B
C
ABCDE &#126; GHJDF

GH

DJ

<H ≅
Complete the statements.
=
<
AB
x=
x
8
12
18
Solve for m.

 m

 9

=

12

27

m=

Bob is taking 9 classes three of which

are honors.  What is the ratio of

non-honors to honors classes?

Reduce  answers.

The sides of a triangle have a ratio of

2:3:4.  If the perimeter of the triangle is

279 inches, what is the length of the longest

side?

hint:  Solve for x first.
inches
Reduce answer.

Bud has 7 fish, 9 cats, 11 dogs

and one horse for pets. 

What is the ratio of 

 dogs to total number of pets?

A
30'
B
C
Y
X
60'
Z

Given that

∆ABC &#126; ∆ZXY

Find....

m<A
A
30'
B
C
Y
X
60'
Z

Given that

∆ABC &#126; ∆ZXY

Find....

m<X
A
30'
B
C
Y
X
60'
XZ&#126;
Z

Given that

∆ABC &#126; ∆ZXY

 

Solve for x.

 5

 x

=

12

27

135

11.3

17.1

14.6

Name a pair of corresponding sides.
Figure TQRS&#126; BCDE. 

TQ and BE

TS and CD

RS and BC

QR and CD

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