Activity 6: Reflection Trapezoid - Multi-Stage Mirror Transformations

①This example demonstrates a trapezoid undergoing three successive reflections across different lines, producing multiple mirror images and illustrating the geometric effects of reflection transformations. ②Core mathematical concepts include axial symmetry, congruence and symmetry of figures, composition of reflections, and coordinate changes of vertices after reflection. ③Construction highlights: using GeoGebra's Segment command to create the original trapezoid ABCD and its sides; generating first reflected points A', B', C', D' and connecting them to form a reflected trapezoid; then reflecting again to obtain A'', B'', C'', D'', and a third time to get A''', B''', C''', D'''; all objects include segments f, g, h, i, j, k, l, m, n, p, q, r, s, t, a, b, forming a complete reflection chain. ④Suitable for middle and high school students learning geometric transformations, useful for classroom demonstrations or self-study, and as a reference for teachers creating interactive geometry lessons.