Reflecting Polygons Over the Axes

This GeoGebra example demonstrates how an irregular pentagon is reflected across the x-axis, y-axis, and both axes sequentially. It illustrates the core concept of axial symmetry (reflection) in plane geometry, showing that the reflected image is congruent to the original but with reversed orientation. The construction uses Point commands to define vertices A, B, C, D, E, a Polygon command to create the pentagon poly1, and Mirror commands to generate reflected polygons poly1' and poly1'' across the axes, along with their corresponding edges and vertices. Angle commands are used to mark relevant angles. This resource is ideal for middle school or high school geometry lessons, helping students visualize how coordinates change under reflection and understand the properties of symmetry transformations.