Circle Investigation #2

By: Stephen Bismarck

Here is something interesting to explore. Given a circle, a point inside the
circle (Point A), and a point on the circle (Point B), construct a segment from
the
point A
to
the
point B and then construct a perpendicular segment from the point
on the circle and the original segment. Construct the midpoint (Point M)of the
perpendicular segment. As point B moves around the circle, what type of object
is the locus
of the midpoint? What happens if the given point is located on the outside of
the circle?

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