Multiplication of Complex Numbers as Geometric Transformation

This GeoGebra example illustrates how multiplication by a variable complex number transforms a point in the complex plane, combining rotation and scaling (dilation). Core mathematical concepts include complex number arithmetic, modulus, argument, and geometric transformation. Construction uses GeoGebra commands such as Intersect, Distance, Segment, Angle, and objects like z, w, Modulus, and angular measures α, β, γ. Suitable for high school complex numbers curriculum, introductory complex analysis, and interactive mathematics education on geometric transformations.