Playing With Symmetry

In this GeoGebra book we explore many different ways that symmetry is seen. This interactive book allows you to manipulate the objects to create different symmetrical pictures. As you enjoy these different applets think about the ways that the symmetry is occurring. Also think about what isometries might be occurring through these symmetry groups. Why is this applet symmetrical? What can I do to prove the symmetry? How many lines or rotations of symmetry do I have? How can I make more? Less?