Creation of this applet was inspired by a [url=http://www.gogeometry.com/school-college/1/p1007-hexagon-midpoint-triangle-median-centroid-concurrency-math.htm]post by Antonio Gutierrez[/url] ([url=http://gogeometry.com/]GoGeometry[/url]). [br][br][b]Feel free to move the BIG WHITE VERTICES of the (soon-to-form) hexagon AT ANY TIME. [/b][br][b][color=#0000ff][br]How can you formally prove what this applet informally illustrates? [/color][/b]