Below, [b][color=#9900ff]line p [/color][/b]is the [b][color=#9900ff]perpendicular bisector[/color][/b] of the segment with endpoints C and D. [br]Note this segment [math]\overline{CD}[/math] is [i]not [/i]shown below.
What do you notice? Why does this occur? Describe.
Clear the trace (see button lower left corner) and [b]move point [i]C[/i] outside the circle[/b]. Then drag D slowly around the circle again. What do you notice? Why does this occur? Describe.
Clear the trace again. Now RIGHT CLICK on the [b][color=#9900ff]perpendicular bisector (line p)[/color][/b] and select SHOW TRACE. Then slowly drag point D around the circle again. What do you notice?[br][br][i]Move C back inside the circle and drag point D around the circle again. What do you see? [/i]