Moving Point and Area: Geometric Transformation and Locus

This applet explores area variations through geometric transformations and moving points. Using GeoGebra tools such as Rotate, Ray, Intersection, Polygon, and Locus, it constructs the area relationship between a moving point and fixed figures. Through conditional statements and the Locus command, it visually displays how area changes as the moving point varies its position. By combining function graphs with the geometric construction, the applet further investigates optimization and extreme value problems. This interactive demonstration helps students deeply understand the comprehensive application of plane geometry and algebraic functions, making abstract mathematical relationships tangible and intuitive.