Question

Given the scale factor R = 1/3, if AB = 12 cm, how ling is A’B’?

A. 36 cm
B. 3 cm
C. 8 cm
D. 15 cm
E. 4 cm

Answer 1

E. 4 cm

Explanation:

Given:

Scale factor (R) =
`(m_(image))/(m_(preimage)) = (1)/(3)`

AB = 12 cm

Required:

Length of A'B'

SOLUTION:

A'B' = length of the image = x cm

AB = length of the preimage = 12 cm

Thus, using the scale factor given, the length can be calculated as shown below:

`(m_(image))/(m_(preimage)) = (x)/(AB) = (1)/(3)`

`= (x)/(12) = (1)/(3)`

Multiply both sides by 12

`(x)/(12)*12 = (1)/(3)*12`

`x = (12)/(3)`

`x = 4`

x = A'B' = 4 cm