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