Use exactly \(\text{two}\) steps in this order: first a positive dilation centered at the origin, then either \(\text{one}\) translation or \(\text{one}\) coordinate-axis reflection. Map \(A(0,0)\),\(B(2,0)\),\(C(0,1)\) to \(A^{\prime}(3,1)\),\(B^{\prime}(7,1)\),\(C^{\prime}(3,3)\).

Separate size from position in this two-step mapping. First use a target-to-source side-length ratio to determine the origin-centered dilation and record every intermediate vertex; only then compare intermediate points with their targets to see whether one common displacement or an axis reflection completes the required second step.