geometry problems from UNESCO Competition with aops links in the names
It lasted only 2 years
problem set from 1996-97 is missing
1995-96
A rectangle $MNPQ$ circumscribes a triangle $ABC$ if on each of the edges $MN,NP,PQ,QM$ there is at least one vertex of $ABC$. Find the locus of the centers $O$ of rectangles $MNPQ$ which circumscribe a given triangle $ABC$.
Given a segment $AB$ and a constant $k>0$. Find the locus of points $C$ in the plane such that in triangle $ABC$, the length of a side is $k$ times the length of the corresponding altitude.
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