Graphing Complex Numbers in Polar and Rectangular Forms

① This example demonstrates how to graph complex numbers in both polar form (magnitude and argument) and rectangular form (real and imaginary parts) simultaneously in GeoGebra, visually showing the geometric correspondence between the two representations on the complex plane. ② Core mathematical concepts include algebraic representation of complex numbers, polar representation, modulus, argument, points and vectors on the complex plane, and conversion between polar and rectangular coordinates. ③ Construction details: using GeoGebra commands such as Intersect, Segment, Point, Angle, Distance, and Midpoint, the example constructs points A and B, segment a, angle α, computes distanceAB, and adds text label TextAB to display the polar radius, polar angle, and coordinate projections. ④ Suitable for high school or early college mathematics courses focusing on complex numbers, polar-rectangular coordinate conversion, and geometric visualization of complex number operations.