In the applet below, [br][br][color=#1e84cc][b][i]O[/i] is the center [/b][/color]of the circle shown. [br][b]Point [i]D[/i] is a point that lies ON this circle. [br][/b][color=#1e84cc][b]Point [i]A[/i] is a point that ALWAYS LIES OUTSIDE[/b] [/color]the circle. (You can move it anywhere you'd like). [br]The [color=#ff00ff][b]pink line[/b][/color] is the [color=#ff00ff][b]perpendicular bisector[/b][/color] of the segment with endpoints [i]A[/i] and [i]D[/i]. [br][br]Drag [b]point [i]D[/i][/b] around the circle a few times. What do you see? Describe in detail! [br] [br]Feel free to alter the locations of [i][color=#1e84cc][b]A[/b][/color][/i] and [b]the gray point (radius changer)[/b][i]. [br][/i]Then clear the trace and drag [b]point [i]D[/i][/b] around again. [br][br]Why does this occur?

Please go to the [url=https://www.geogebra.org/m/yXDC8N93]Locus Construction (3) Task[/url] and begin!