Answer:
The scale factor of the dilation is 3
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
so
Rectangle ABCD and rectangle A'B'C'D' are similar
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional
Let
z ----> the scale factor
[tex]z=\frac{D'C'}{DC}[/tex]
we have
[tex]D'C'=12-3=9\ units[/tex] ----> difference of x-coordinates
[tex]DC=4-1=3\ units[/tex] ---> difference of x-coordinates
substitute
[tex]z=\frac{9}{3}=3[/tex]
The scale factor is greater than 1
so
The dilation is a enlargement
