Geometric practice for complex-number arithmetic

This GeoGebra example demonstrates how complex-number arithmetic (such as addition/subtraction and multiplication) translates into clear geometric behavior on the complex plane—for instance, showing that multiplication corresponds to a rotation together with a scaling determined by the modulus and argument. The key mathematics includes representing complex numbers as points (real/imaginary parts as coordinates), performing complex arithmetic, and interpreting multiplication geometrically via vector viewpoint, where angles and lengths change in a predictable way. Construction-wise, it uses the provided objects a, b, c, d, e, f, g, h as intermediate representations of complex quantities and their corresponding geometric entities (points/vectors). By combining these objects through GeoGebra’s arithmetic operations and mapping between algebraic results and geometric locations, the example produces new points/vectors that reveal the effect of each operation visually. Suitable for late secondary school through pre-university learners and for anyone practicing the algebra-to-geometry connection in complex numbers.