ÖMO 2009 Problem 6
The quadrilateral PQRS whose vertices are the midpoints of the sides AB, BC, CD, DA, respectively of a quadrilateral ABCD is called the midpoint quadrilateral of ABCD. Determine all circumscribed quadrilaterals whose mid-point quadrilaterals are squares. .
Dataset text AI-MO AoPS. Quoted with source.
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