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QUESTION

Is a rectangle a parallelogram always, sometimes or never?

Always

For this question all you need to know are the properties of each shape.

The Properties of a Rectangle are

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

The Properties of a Parallelogram

  • 4 sides
  • 2 pairs opposite congruent sides
  • 2 sets of parallel sides
  • both pairs opposite angles are congruent
  • diagonals bisect each other

Since the question is asking if a rectangle is a parallelogram you would check to make sure all the properties of the parallelogram agree with those of a rectangle and since they all do the answer is always.

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