Reflection Maze: Mirror Transformations and Geometric Exploration

This example demonstrates the concept of reflection (mirror) transformations in plane geometry through an engaging maze scenario. The core mathematical concepts include axial symmetry, mirror symmetry, and the application of reflections in geometric constructions, while also integrating elements such as isosceles triangles, complex numbers, and conic sections. The construction uses GeoGebra's Mirror command to reflect points A, B, image pic1, and line a, generating point C and its image C' to form a maze-like reflective path. This resource is suitable for middle and high school students learning geometric transformations, symmetry, and coordinate geometry, as well as for teachers demonstrating the geometric meaning and practical uses of reflection. Through interactive manipulation, students can observe how different objects change position under reflection, deepening their understanding of transformation properties.