Completing the Square: Geometric Proof of the Perfect Square Trinomial

This interactive GeoGebra applet provides a visual and geometric demonstration of the algebraic method of completing the square. It illustrates how adding a small square of area b^2 to the expression a^2 + 2ab completes a larger square of area (a+b)^2. By utilizing multiple polygons and text labels, the model vividly proves the identity (a+b)^2 = a^2 + 2ab + b^2. This geometric approach is an exce