A polygon is rotated {or translated or dilated} continuously and without deformation from an initial configuration to a final one.[br][br]Can the intermediate configurations of the polygon be said to lie "between" [br]the initial and final configurations?[br][br]Does this conjecture apply to reflections as well? Why or why not?[br][color=#ff0000][i][b][br]What questions could/would you ask your students based on this applet?[/b][/i][/color]