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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