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?