Respuesta :

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.