Points on a Perpendicular Bisector of a Line Segment
In the applet below, the constructed perpendicular bisector of segment AB is shown.
Add a point C on the perpendicular bisector.
Join A to C and B to C to form a triangle ABC.
Compare the lengths AC and BC .
Move point C along the perpendicular bisector (anywhere above or below segment AB)
Again check the lengths AC and BC .
Make conclusions below.
What can you conclude about any point that lies on the perpendicular bisector of a segment? Hint: What did you notice about the purple point no matter where you put it?