Geometric Construction of Subtracting Two Complex Numbers

This example demonstrates how to visualize the subtraction of two complex numbers on the complex plane by converting the algebraic operation into a geometric vector relationship. The key mathematical ideas include the geometric meaning of complex numbers (points as complex numbers and directed segments as vectors) and the fact that complex subtraction corresponds to vector subtraction: z1 − z2 is obtained as the appropriate difference of the corresponding directed segments. Construction highlights derived from the provided GeoGebra summary: it uses the commands Intersect and Segment, along with labeled elements such as text1/text2 for explanation, points or representations z_1, z_2, and the result z_3, plus an auxiliary point A and intermediate construction objects (f, g, h, i, j). The intersection of constructed segments yields the crucial point that represents the complex difference. Suitable for high school through early undergraduate students learning complex numbers and for teaching with dynamic geometric constructions.