MathDB

5

Part of 2011 Turkey MO (2nd round)

Problems(1)

Turkey NMO 2011 q5

Source:

12/8/2011
Let MM and NN be two regular polygonic area.Define K(M,N)K(M,N) as the midpoints of segments [AB][AB] such that AA belong to MM and BB belong to NN. Find all situations of MM and NN such that K(M,N)K(M,N) is a regualr polygonic area too.
geometrygeometric transformationrotationtrapezoidgeometry unsolved