Complex Numbers and Transformations

In the figure below, point A and the vertices of the triangle are complex numbers.[br]Every point on the triangle is being multiplied by point A. This induces a Transformation.[br][br]Drag Point A around.[br]Under what conditions is the transformation a dilation?[br]Under what conditions is the transformation a translation?[br]Under what conditions is the transformation a rotation?[br]Under what conditions is the transformation a reflection?[br]Under what conditions is the transformation a composition of a rotation and a dilation?
Complex Numbers and Transformations

Information: Complex Numbers and Transformations