Quadrilateral $D E F G ; 180^{\circ}$ about the origin. Transformation Rule: $(x, y) \rightarrow$ \begin{tabular}{|l|} \hline $\begin{array}{c}\text { Preimage Coordinates } \\ (x, y)\end{array}$ \\ \hline$D(-3,1)$ \\ \hline$E(-1,-1)$ \\ \hline$G(-3,3)$ \\ \hline$F(-1,-4)$ \\ \hline \end{tabular}

Step 1 ：Given a quadrilateral $D E F G$ with coordinates $D(-3,1)$, $E(-1,-1)$, $G(-3,3)$, and $F(-1,-4)$, we are asked to perform a transformation about the origin. However, the transformation rule is not provided, hence we cannot proceed further to solve the problem.

Step 2 ：Final Answer: \(\boxed{\text{The problem is incomplete. We need the transformation rule to solve it.}}\)