Reflection and Translation: Geometric Transformations

① This example demonstrates two fundamental geometric transformations—reflection and translation—by showing how a shape changes position and orientation dynamically. ② Core mathematical concepts include geometric transformations, symmetry, vector translation, and composition of transformations, with key elements such as reflection axes and translation vectors. ③ Construction highlights: based on the summary, the example uses GeoGebra objects (points, lines, polygons) and transformation tools (reflect, translate), possibly with sliders or input fields to control the translation vector and reflection axis for interactive exploration. ④ Suitable for middle and high school geometry classes, helping students understand properties of transformations, coordinate changes, and applications in pattern design or function graph shifts; also useful for teacher demonstrations or student self-study.