The ratio change is equivalent to that of dilating the shape, and since we know that traiangles dilate, it follows that the shape dilates quadratically as well!
In this case, the answer would be option A
k = scale factor
[tex]\begin{gathered} k=\frac{1}{2} \\ \\ \text{ In area would be } \\ k^2=(\frac{1}{2})^2=\frac{1}{4}^{} \end{gathered}[/tex]