Answer:
The scale factor is 1.5
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
so In this problem
Let
z -----> the scale factor
[tex]z=\frac{B'C'}{BC}=\frac{C'D'}{CD}=\frac{D'A'}{DA}=\frac{A'B'}{AB}[/tex]
substitute the values
[tex]z=\frac{3}{2}=\frac{4.5}{3}=\frac{4.5}{3}=\frac{4.5}{3}[/tex]
therefore
[tex]z=1.5[/tex]
The scale factor is 1.5
