# Perpendicular Bisector Theorem (Part 2)

- Author:
- Tim Brzezinski

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?
4) Fill in the ( ) below to create a true statement:
Point D is ( ) from points A and B.
5) Use your observations above to fill in each ( ) with a correct word to make a true statement:

**“If a point lies on the ( ) ( ) of a segment, then that point is ( ) from the ( ) of that segment."**