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Perpendicular Bisector Conjecture

Exploring the Perpendicular Bisector Conjecture
  1. Find the midpoint of segment AB. Create a perpendicular line that passes through the midpoint. Create a point D anywhere on the perpendicular line. Using the segment tool, create segment AD and segment BD. Find the Length or Distance tool (underneath the Angle Measurement tool). Use it to label the length of both segment AD and segment BD. With the Move tool, drag point D along the perpendicular bisector. What do you notice about the lengths of AD and BD? Using your observations, complete the conjecture provided below.
If a point is on the perpendicular bisector of a segment, then it is ___________ from the endpoints.