Inv 1.4 Figure 1 - Properties of Transformations

① This example demonstrates the process of reflecting a polygon and its associated line segments across a mirror line, showing the positional and shape relationships between the original and transformed figures. ② Core mathematical concepts include geometric transformations (especially reflection), properties of transformations (such as distance preservation, angle preservation, and shape preservation), and the correspondence between polygons and segments under transformation. ③ Construction details: Using GeoGebra commands such as Intersect, Point, Polygon, Line, and Mirror, the original objects (W, Z, Y, X, poly1, a, b, c, d, A, B, e) and their reflected images (W', Z', Y', X', poly1', w', z', y', x') are created, allowing comparison of transformation properties. ④ Suitable for middle school to high school students learning geometric transformations, and useful for teachers demonstrating reflection properties in class, helping students understand distance preservation and symmetry in reflection.