The coordinates of D' = (-4,6)
The coordinates of E' = (4,2)
The coordinates of F' = (-2,-2)
Since triangle D'E'F' is the result of dilating triangle DEF with a scale factor of 2
then dilating triangle D'E'F' with a scale factor of 1 / 2 should give us triangle DEF.
Hence,
![\begin{gathered} D=(1)/(2)(-4,6)=(-2,3) \\ E=(1)/(2)(4,2)=(2,1) \\ F=(1)/(2)(-2,-2)=(-1,-1) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4vi4i4b0dckz2l2r6wd5o6vathe0q7fiid.png)