Reflectional Symmetry: Mirror Transformation of a Butterfly Shape

① This example demonstrates the concept of reflectional (mirror) symmetry using a butterfly-shaped geometric figure, showing that the figure coincides with its mirror image across a line. ② Core mathematical concepts include reflection transformation, axial symmetry, congruence, and the group-theoretic idea of symmetry operations. ③ Construction details: The GeoGebra commands Line, Mirror, Point, and Segment are used to create the symmetry axis, reflect points, segments, and the entire butterfly object, with objects such as H, D, f, A, E', F, G, Butterfly, E, B, g, h, and text1 organizing the construction and labels. ④ Suitable for middle school to high school students learning geometric transformations, and for teachers demonstrating symmetry properties in class, highlighting the distance-preserving and shape-invariant nature of reflections.