Puzzle 2: Exploring Similarity Transformations and Symmetry

①This example presents a geometric puzzle centered on similarity transformations and symmetry, using constructed segments and special points to investigate properties under transformations. ②Core mathematical concepts include similarity transformation, symmetry, special points in plane geometry, and surface relationships. ③Construction details: Based on the construction summary, the GeoGebra command Segment is used to create objects A, B, and segment f, which form the basic elements of the puzzle, likely serving as a foundation for subsequent transformations or symmetry operations. ④Suitable for upper secondary or early university students, this example aids in intuitive understanding of geometric transformations, symmetry analysis, and mathematical puzzle solving. It can also be used by teachers for classroom demonstrations or by students for independent exploration.