Respuesta :

Answer:

The dilation is an enlargement

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

In this problem Triangles A'B'C' and ABC are similar by AA Similarity Postulate

Let

z------> the scale factor

so

[tex]z=\frac{A'C'}{AC}[/tex]

substitute the values

[tex]z=\frac{2+8}{2}[/tex]

[tex]z=\frac{10}{2}=5[/tex]

The scale factor is greater than 1

therefore

The dilation is an enlargement

Answer: center a scale factor 4

Step-by-step explanation: