A quadrilateral ABCD has four right angles. The diagonals are perpendicular. Based on the given properties of the quadrilateral ABCD, which of these is a valid conclusion? Quadrilateral ABCD must be a square. Quadrilateral ABCD must be a rectangle. Quadrilateral ABCD must be a square or a rectangle. Quadrilateral ABCD must be a rectangle or a rhombus.

Question

A quadrilateral ABCD has four right angles. The diagonals are perpendicular.     Based on the given properties of the quadrilateral ABCD, which of these is a valid conclusion?   Quadrilateral ABCD must be a square.   Quadrilateral ABCD must be a rectangle.   Quadrilateral ABCD must be a square or a rectangle.   Quadrilateral ABCD must be a rectangle or a rhombus.

anonymous · Answer

Quadrilateral ABCD must be a square because only a square has four right angles and diagonals that are perpendicular.