**How it works ?**

- In the applet below,
**line p**is the**perpendicular bisector**of the**segment with endpoints**.*A*and*B* - If you forgot what it means for a line to be a
**perpendicular bisector**of a**segment**, you can slide the slider on the left for a reminder.You can also revisit this worksheet. - The slider on the right gives insight into a theorem that holds true for every point that lies on the
**perpendicular bisector**of a**segment**. - Interact with this applet for a few minutes.
*As you do, be sure to change the location of the white point C each time before you re-slide the slider.* - Answer the questions that follow.
**Questions:**- 1) What do you notice about the distances (lengths)
and**AC**? 2) Does your answer to question (1) above hold true for**BC***every point*on this**perpendicular bisector**? That is, is your response to question (1) the same regardless of where point*C*lies? - 3) If your answer to (2) was
**yes**, prove this assertion true in the format of a 2-column proof.