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Problems(1)

Locus of points symmetric to a fixed point about a chord.

Source:

12/7/2010
A fixed point AA inside a circle is given. Consider all chords XYXY of the circle such that ∠XAY\angle XAY is a right angle, and for all such chords construct the point MM symmetric to AA with respect to XYXY . Find the locus of points MM.
geometryparallelogramrectangletrapezoidPythagorean Theoremperpendicular bisectorgeometry unsolved