To solve we appply dilation for each point
[tex]\begin{gathered} A(2,-4)\times\frac{1}{2}=A^{\prime}(1,-2) \\ \\ B(2,-2)\times\frac{1}{2}=B^{\prime}(1,-1) \\ \\ C(4,0)\times\frac{1}{2}=C^{\prime}(2,0) \\ \\ D(4,-4)\times\frac{1}{2}=D^{\prime}(2,-2) \end{gathered}[/tex]