What theorem is dynamically being illustrated in the applet below?[br](Feel free to drag the [color=#1e84cc][b]blue point [/b][/color]and/or white points anywhere you'd like!)
[color=#000000][b]Theorem:[/b][/color][br]If a point is [color=#980000][b]equidistant[/b][/color] from the [color=#000000][b]sides[/b][/color] of an angle, then [color=#1e84cc][b]it[/b][/color] lies on the [color=#1e84cc][b]bisector[/b][/color] of that angle.