Visualizing Complex Number Multiplication by i

This GeoGebra example investigates the effect of multiplying a complex number by i, demonstrating that it results in a 90-degree rotation about the origin in the complex plane. The core mathematical concepts involved are complex numbers, multiplication as a geometric transformation, rotation, and angle measurement. The construction employs commands such as Intersect to find points, Segment to draw lines, Angle to label angles, and CircleArc to illustrate circular paths. Objects like z_1 and z_2 represent complex numbers, with additional text and geometric elements for clarity. This resource is ideal for high school students learning complex numbers or college students in introductory mathematics courses.