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Complex Numbers and Transformations by Steve Phelps (2)

Complex Numbers and Transformations by Steve Phelps (2)
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2015-06-25 05:39
Complex NumberTransformationGeometric Construction
In collections Modeling with Complex Numbers Modeling with Complex Numbers Modeling with Complex Numbers
This example demonstrates the concept of complex numbers and transformations. By using point A and the vertices of a triangle as complex numbers, each point on the triangle is divided by point A. Utilizing GeoGebra commands such as Polygon, Point, and Locus, the effect of complex division on the triangle can be observed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(C, D, E) → poly1, e, c, d
  2. Point(poly1) → B
  3. Locus(z_1, B) → loc1

AI Drawing Prompt Reference

Draw a triangle with its vertices labeled. Place a point inside the triangle and use it as a complex number. Plot the locus showing the transformation of the triangle's vertices when divided by this point.
The prompt above was compiled from the original drawing commands and is for reference only.