Complex Numbers and Transformations

In the figure below, point A and the vertices of the triangle are complex numbers. Point A is being divided by every point in the triangle. This induces a Transformation. Make sure to drag the original triangle around as well as Point A! Under what conditions is the transformation a dilation? Under what conditions is the transformation a translation? Under what conditions is the transformation a rotation? Under what conditions is the transformation a reflection? Under what conditions is the transformation a composition of a rotation and a dilation?