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This document summarizes 19 characterizations (necessary and sufficient conditions) of cyclic quadrilaterals proven by the author. It begins by reviewing 5 basic characterizations involving angles, perpendicular bisectors, and intersecting chords. It then proves several new characterizations involving angles, parallel lines, and distances related to incenters. The characterizations cover a variety of geometric properties and relationships that are equivalent to a quadrilateral being cyclic. The goal is to p

Author

Kim Chi

Language

EN