6th Grade Math Textbook, Progress

Proportions and Similar Figures

11-7

Write the lengths of the corresponding sides in a proportion for each pair of

similar figures.

1. 
   
   
   
   2. 
      
   
   
   
   


2. 
   
   
   
   4. 
      
   
   
   
   

The lengths of the corresponding sides of similar figures are in proportion.

ABCD
WXYZ

Study this example.

What is the length of GF?

 
 Write a proportion.

9  24 
 18 m Use the cross-products rule.

216 
 18 m

216  18 
 18 m 18 Apply the Division Property of Equality.

12 
m

The length of GFis 12 cm.

m

24

9

18

GF

RQ

EG

PR

2

3

2

3

2

3

2

3

2

3

6 
 3

9  3

2

3

6 
 3

9  3

2

3

6

9

2

3

6

9

AD

WZ

CD

YZ

BC

XY

AB

WX

Similar figures have the same shape and

their corresponding angles are congruent.

Z 9 Y

W^9

3 3

X

D 6 C

A^6

2 2

B

R Q

24 cm

30 cm

E P

G m

9 cm 18 cm

15 cm

F

A

B 9 cm

12 cm

15 cm

C

R

S6 cm

8 cm

10 cm

T

20 yd

P

S

Q R

8 yd

12 yd

16 yd

15 yd

W

Z

X Y

6 yd

9 yd

12 yd

C 16 cm D

F E

8 cm

6 cm 3 cm

S T

V U

20 in.

E

F J

10 in.

15 in.

24 in.

G

H

12 in.

18 in.

EFG

PQR

1.3

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