Perpendicular Bisector and Equidistance
Shown below is a segment (shown in pink) with endpoints A and B. Line p (shown in green) is the perpendicular bisector of this segment.
Directions:
1) Line p (shown in green) is the perpendicular bisector of segment AB.
2) Click the checkbox shown to plot a point D on this perpendicular bisector.
Just by simple examination, what do you think is true about the distances DA and DB?
3) Click the second checkbox to test your conjecture. Be sure to move point D along line p.
Also, feel free to drag/move points A and B around on the screen.
Is your response to question (2) above true?