Glide Reflection Cats: Combining Translation and Mirror

① This example demonstrates the glide reflection, a composite geometric transformation, by applying a translation followed by a reflection to cat images, producing a symmetric pattern of cats. ② The core mathematical concepts include translation, reflection, and their composition, involving vectors, axes of symmetry, and properties of transformations. ③ Construction highlights: Based on the construction summary, GeoGebra commands such as Intersect, Vector, Translate, Point, Line, and Mirror are used, with objects A, B, C, D, E, vector u, and picture objects pic1, pic1', and pic1'' defined to generate the glide-reflected cat sequence through successive translations and reflections. ④ Suitable for middle school geometry or introductory college transformation courses, this example helps students grasp the geometric meaning of composite transformations and can serve as an engaging art-math integration activity to foster interest in symmetry and translation.