Creation of this applet was inspired by a [url=http://www.gogeometry.com/school-college/2/p1106-regular-hexagon-congruence-diagonal-collinear-points-math.htm]problem[/url] from [url=https://twitter.com/gogeometry]Antonio Gutierrez[/url] (GoGeometry). [br][br][b]Note:[/b] [br]The [b][color=#38761d]polygon[/color][/b] shown below is a [color=#38761d][b]REGULAR HEXAGON[/b][/color]. [br]You can move 2 of its vertices (the [b]LARGE WHITE POINTS[/b]) anywhere you'd like at any time. [br][br][b][color=#ff7700]How can we formally prove the 3 orange points (soon to appear) are guaranteed collinear? [/color][/b]