Perpendicular Bisectors

Given: Segment AB is perpendicularly bisected by line l Move points A, B, and T by dragging them with your mouse.

What elements in the drawing indicate that line l perpendicularly bisects segment AB? When you drag point T, what do you notice about segment AT and segment BT? When you drag point A, what do you notice about segment AT and segment BT? When you drag point B, what do you notice about segment AT and segment BT? Suppose you have a point Q, so that QA = QB. Where do you think point Q should be located. Click the box next to "Show Q". Drag point Q so that segments QA and QB are congruent. Was your prediction correct?