Circle Investigation #1

By Stephen Bismarck

 

Given a circle, a point inside the circle (Point A), and a point on the circle (Point B), construct a segment from Point A to Point B. Then construct a perpendicular segment to Point B and the segment. If you trace the segment as Point B moves around the circle, what type of object appears? Move point A around (inside the circle), what do these objects have in common? Is there anyway of proving this?

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