Answer:
The scale factor dilating from the red image to the blue image is 1/4
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Figure ABCD and Figure A'B'C'D' are similar
so
using proportion
[tex]\frac{OA'}{OA}=\frac{OB'}{OB}=\frac{OC'}{OC}=\frac{OD'}{OD}[/tex]
substitute the given values
[tex]\frac{3}{12}=\frac{3}{12}=\frac{1.5}{6}=\frac{2}{8}[/tex]
[tex]\frac{1}{4}=\frac{1}{4}=\frac{1}{4}=\frac{1}{4}[/tex]
The scale factor dilating from the red image to the blue image is 1/4
