In order to find the new coordinates of each point after the dilation, we just need to multiply their coordinates by the scale factor. So we have the following:
[tex]\begin{gathered} E(-4,2)\to E^{\prime}(-4\cdot2,2\cdot2)=E^{\prime}(-8,4) \\ F(4,2)\to F^{\prime}(4\cdot2,2\cdot2)=F^{\prime}(8,4) \\ G(3,-1)\to G^{\prime}(3\cdot2,-1\cdot2)=G^{\prime}(6,-2) \\ H(-3,-1)\to H^{\prime}(-3\cdot2,-1\cdot2)=H^{\prime}(-6,-2) \end{gathered}[/tex]
So the points after the dilation will be E'(-8, 4), F'(8, 4), G'(6, -2) and H'(-6, -2).
