The purple shape is a dilation of the black shape. The scale factor is _____.(This is a practice quiz!)

The Image is the figure obtained after a transformation and the Pre-Image in the original figure.
In Dilation, the Image and the Pre-Image have the same shape, but their sized are different.
In this case you can identify that:
- The figures given in the exercise are squares (the sides of a square have equal length).
- The Pre-Image is is the black shape.
- The Image is the purple shape.
- All the sides of the black shape have a length of 2 units.
- All the sides of the purple shape have a length of 4 units.
Knowing the above, you can find the scale factor as following:
[tex]sf=\frac{4units}{2units}=2[/tex]Answer
The scale factor is 2.