Question

What is the scale factor of dilation?

1 over 2
 1 over 3
  1 over 4
 1 over 5

Answer 1

Answer: 1 over 3

Explanation:

The dilation is a transformation which produces similar figures.

The scale factor dilation is the ratio of the corresponding coordinates of the image and the pre-image.

In the given graph triangle PQR is dilated to form triangle P'Q'R', then the scale factor to the dilation is given by :-

`k=\frac{\text{x-cooordinate of R'}}{\text{x-cooordinate of R}}\\\\\Rightarrow\ k=(1)/(3)`

Hence, the scale factor of dilation = 1 over 3

Answer 2

RP is 3 units long and its transformation R'P' is 1 unit long

R'P' = 1/3 * RP

so the scale factor is 1/3