How it works ?
- In the applet below, note that point C is equidistant from A and B. In this applet, C will ALWAYS REMAIN EQUIDISTANT from A and B.
- Also note that A and B serve as endpoints of a segment.
- 1) Drag C around as much as you’d like (without moving A and B). What can you conclude about the locus (set of points) in the plane that are equidistant from the endpoints of a segment? What does this locus look like?
- 2) Let’s test this conjecture again. Change the location of point A and point B. Hit the “Clear Trace” button to erase the previous traces of point C. Repeat Step 1.
- 3) Use the tools of GeoGebra to now show that your conjecture is true.