Is a rectangle a parallelogram always, sometimes or never?

A parallelogram is a rectangle. It is true when the parallelogram has these properties listed below. It is not true when a parallelogram has no right angles. A quadrilateral (a polygon with 4 vertices) ABCD with pairs of opposite sides parallel to each other (i.e. AB is parallel to CD and BC is parallel to AD) is called a parallelogram.

The properties of a rectangle are

  • 4 right angles
  • 4 sides (Polygonal)
  • 2 pairs of opposite congruent sides
  • congruent diagonals
  • 2 sets parallel sides
  • mutually bisecting diagonals

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