Geometry Unleashed
Source: Austrian MO 2009
January 17, 2017
geometry
Problem Statement
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.
.