rectangle / square inscribed in rhombus
Source: Polish MO second round 1952 p3
August 28, 2024
geometryrectangleinscribedsquarerhombus
Problem Statement
Are the following statements true?a) if the four vertices of a rectangle lie on the four sides of a rhombus, then the sides of the rectangle are parallel to the diagonals of the rhombus;b) if the four vertices of a square lie on the four sides of a rhombus that is not a square, then the sides of the square are parallel to the diagonals of the rhombus.