Answer:
The scale factor is 1/2
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produces similar figures
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ---> the scale factor
x ---> the area after dilation
y ---> the original area
[tex]z^2=\frac{x}{y}[/tex]
we have
[tex]x=25\ cm^2\\y=100\ cm^2[/tex]
substitute
[tex]z^2=\frac{25}{100}[/tex]
[tex]z^2=\frac{1}{4}[/tex]
[tex]z=\frac{1}{2}[/tex]
