Reflection Activity: Exploring Mirror Transformations of Polygons and Functions

① This GeoGebra activity demonstrates how polygons, linear functions, and piecewise functions are transformed under reflection across a line (mirror), showing the flipped positions and shapes of objects after the transformation. ② Core mathematical concepts include reflection (Mirror), symmetry, coordinate changes of polygon vertices, reflection of linear and piecewise function graphs, and the invariant property of area under reflection. ③ Construction highlights: Points A, B, C, D, E, F are created using Point; Polygon constructs poly1; Line defines the mirror axis; Mirror generates reflected points (A', B', etc.) and reflected polygon poly1'; function objects (linear, cosine) and their reflected images are included; text labels (text1, text2) annotate the transformation relationships. ④ Suitable for middle and high school students learning geometric transformations and symmetry of function graphs, as well as for teachers demonstrating reflection visually to reinforce understanding of coordinate changes and congruent figures.