In the applet below, the [b][color=#bf9000]perpendicular bisector[/color][/b] of [b][color=#666666]segment [i]AB[/i][/color][/b] is shown. [br][br]Interact with this applet for a couple of minutes, [b]making sure to move the 3 BIG MOVEABLE POINTS around. [br][/b][br]Then, answer the questions that follow.

What can you conclude about [b][color=#9900ff]any point[/color][/b] that lies on the [color=#bf9000][b]perpendicular bisector[/b][/color] of a [b][color=#666666]segment[/color][/b]? [br][br][b]Hint: [/b] What did you notice about the [b][color=#9900ff]purple point [/color][/b]no matter where you put it?