Respuesta :

In the given graph, since it's been given that it is a dilation, let's determine the ratio of the corresponding sides. If their ratio is common, that is the scale factor of dilation.

We get,

[tex]\frac{CA}{FD}=\frac{7.5}{3}[/tex][tex]\frac{CA}{FD}=\text{ 2.5}[/tex][tex]\frac{CB}{FE}=\frac{10}{4}[/tex][tex]\frac{CB}{FE}=\text{ 2.5}[/tex]

The corresponding sides have a common ratio of 2.5. Thus, we can say that to create Triangle ABC, we dilate Triangle DEF at a scale factor of 2.5.