To continue constructing a copy of ∠ABC after drawing the auxiliary ray B1C1, Soobin should use a compass to measure the distance between points A and C. This step is crucial because it allows her to replicate the length of the original angle's sides when she draws arcs to determine where the corresponding points will lie on the auxiliary ray B1C1.
So the correct response is:
Using a compass, measure the distance between points A and C.