Difference between revisions of "1999 IMO Problems/Problem 1"
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Revision as of 19:27, 12 November 2023
Problem
Determine all finite sets 
of at least three points in the plane which satisfy the following condition:
For any two distinct points 
and 
in , the perpendicular bisector of the line segment 
is an axis of symmetry of .
Solution
Upon reading this problem and drawing some points, one quickly realizes that the set
Alternate solutions are always welcome. If you have a different, elegant solution to this problem, please add it to this page.
