6th Grade Math Textbook, Progress

The figures in each pair are similar. Write and solve a

proportion to find the length of each missing side.

5. 
   
   
   
   6. 
      
   
   
   
   


6. 
   
   
   
   8. 
      
   
   
   
   


7. Rex draws two similar trapezoids
   with the longer bases 12 cm and
   15 cm in length. If the length of the
   shorter base of the smaller trapezoid
   is 4 cm, how long is the shorter base
   of the larger trapezoid?


8. 
   ABC
   
   DGF. AC, AB, and DF
   are 3 cm, 5 cm, and 9 cm long,
   respectively. How many times the
   length of CBis the length of FG?

Find the value of n.

13. 
    ABC
    
    DEF. 14.
    ABC
    
    ADE.

6 ft6 ft

y

x

B

AC

12 ft

16 ft

E

DF

3 in. t

Y

X Z

12 in. 8 in.

AC7 in.

B

1 in.^3 4

9 in. w

5 in.

C

AB

a 21 in.

15 in.

F

D E

36 ft m

S

RT

NM

L

5 ft^1 3

8 ft^1 2

57 ft^3 8

7 ft^34

9

12

15

A

C B

3

n + 2

D

F E

12

8 9

C

D

A

n

E

B

10. Danielle draws two triangles. The first
    triangle has sides that are 7, 10, and
    13 inches long. The second triangle has
    sides that are 10.5, 15, and 19.5 inches
    long. Are the triangles similar? Explain.


11. The lengths, in inches, of the sides of a
    triangle are 5, 8, and 11. If the shortest
    side of a similar triangle has a length of
    10 inches, what is the length of its
    longest side?

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