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?

 

Steve Phelps

 
Resource Type
Activity
Tags
2015  complex  complex-numbers  mat  numbers 
Target Group (Age)
3 – 19+
Language
English
 
 
GeoGebra version
5.0
Views
4494
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