# Complex Numbers and Transformations

In the figure below, point A and the vertices of the triangle are complex numbers.
Every point on the triangle is being multiplied by point A. This induces a Transformation.
Drag Point A around.
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?

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