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 added with 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

 
Baliabide-mota
Lan-orria
Fitxak
2015  complex  complex-numbers  mat  numbers 
Helburu-taldea (adina)
3 – 19+
Hizkuntza
English
 
 
GeoGebra-bertsioa
5.0
Ikustaldiak
4814
Contact author of resource
 
 
© 2026 International GeoGebra Institute