# Combs - Equidistance Theorems

- Author:
- Steve Combs

Both points D and E are equidistant from A and B. Drag them and notice the trace. What does this trace form?
Construct the line through D and E. What is this line's relationship to segment AB?

Put another point on this line. Construct segments from this point to points A and B and measure the distances to these points. What can you say about this new point?