Question

Scale factor.............................................................................

Answer 1

`(1)/(3)`

Explanation:

To find the scale factor of a shape's dilation, we can create a ratio of a side length on the preimage to the corresponding side length on the image.

Since we are dealing with a square in this problem, we can choose any of the side lengths.

Remember that in this case, the dilation was a reduction, so any image side length will be smaller than the corresponding preimage side length.

`\frac{\text{side length on image}}{\text{side length on preimage}} = (3)/(9) = (1)/(3)`

So, the scale factor of this dilation is
`(1)/(3)`.