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 divided 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?

 

Steve Phelps —

 
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태그
2015  complex  complex-numbers  mat  numbers 
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3 – 19+
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English
 
 
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