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

Step 1 ：The problem is asking to rotate a quadrilateral 180 degrees counterclockwise about the origin. The transformation rule for a 180 degrees rotation about the origin is \((x, y) \rightarrow (-x, -y)\). This means that we need to change the sign of both the x and y coordinates of each point.

Step 2 ：The original coordinates of the quadrilateral are \(D(-3,1), E(-1,-1), F(-3,3), G(-1,-4)\).

Step 3 ：Applying the transformation rule to each point, we get the new coordinates as \(D'(3,-1), E'(1,1), F'(3,-3), G'(1,4)\).

Step 4 ：Thus, the new coordinates after a 180 degrees counterclockwise rotation about the origin are \(\boxed{(3, -1), (1, 1), (3, -3), (1, 4)}\).