Perpendicular bisector

Author:
sollerhead
1. What is special about segments AD, AC, BD, and BC? 2. What is the relationship between the circles? 3. Other than being the points where the circles intersect, what is special about points A and B? 4. Slowly drag the slider to change the size of the circles. What do the points on line AB represent? 5. What is the relationship between segment DC and line AB?