In the app below, line [i]i[/i] is said to be the perpendicular bisector of [math]\overline{FD}[/math]. What does it means for a line to be a perpendicular bisector of a segment? (Google it if you can't remember.)
What can we conclude about segments [math]\overline{FP}[/math] and [math]\overline{PD}[/math]? Why can we conclude this?
Given your response to the previous questions and given what you see in the app above, how would you describe the locus (set) of points (or possible locations for [color=#bf9000][b]point P[/b][/color])? What's so special about them? Describe.