Creation of this applet was inspired by a [url=http://www.gogeometry.com/school-college/p932-square-midpoint-ratio-3-1-angle-congruence.htm]problem[/url] posted by [url=https://twitter.com/gogeometry]Antonio Gutierrez[/url] (GoGeometry). [br][br]Feel free to move the [b][color=#1e84cc]LARGE BLUE POINT[/color][/b] to adjust the size of the (soon-to-appear) polygon at any time. [br][br][b][color=#ff00ff]How would you describe the phenomenon you see in your own words? [/color][/b] [br][br][b][color=#ff00ff]How can we formally prove what is dynamically illustrated here? [/color][/b]