Investigating Dilations: Dynamic Scaling of Polygons and Linear Functions

①This GeoGebra example demonstrates dilation transformations, showing how a polygon scales proportionally about a center while simultaneously observing changes in linear function graphs. ②Core mathematical concepts include dilation, similar triangles, linear functions, linear programming/optimization, and statistical proportionality, bridging geometry and algebra. ③Construction highlights: the Polygon command creates polygon objects (A, B, C, poly1), with side lengths a, b, c and point P serving as the scaling center or control; dragging points or sliders triggers real-time scaling, possibly adjusting linear function graphs. ④Suitable for upper secondary to early university students, this resource aids in teaching geometric transformations, function-graph interplay, and serves as a visual tool for linear programming or statistical ratio concepts.