A derived polygon with side ratios chosen as so that inscribed polygons are constructed
by connecting the midpoints of the base polygon. For a triangle, the midpoint-inscribed polygons , , ... are similar triangles. For a quadrilateral, the midpoint-inscribed polygon is a parallelogram
known as the Varignon parallelogram, and
, , , ... are similar parallelograms, as are , , , ....
so that inscribed polygons are constructed
by connecting the midpoints of the base polygon. For a triangle 
, the midpoint-inscribed polygons 
, 
, ... are similar triangles. For a quadrilateral 
, the midpoint-inscribed polygon 
is a parallelogram
known as the Varignon parallelogram, and
, 
, 
, ... are similar parallelograms, as are 
, 
, 
, ....
