smc

We can simply graph the points, or use coordinate geometry, to realize that both $A^{\prime }$ and $B^{\prime }$ are, respectively, obtained by rotating $A$ and $B$ by $180^{\circ }$ about the origin. Hence the rotation by $180^{\circ }$ about the origin maps the line segment $\overline{AB}$ to the line segment $\overline{A^{\prime }{B}^{\prime }}$, so the answer is $\boxed{\text{clockwise rotation about the origin by }180^{\circ }}$.