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Question

Can a rectangle be a rhombus?


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Solution

Properties of quadrilaterals:

  • A rectangle is a parallelogram with all its inside angles being 900.
  • A rhombus is a parallelogram with all its sides are equal, for a rectangle to be a rhombus, its sides must be equal. It becomes a square if this condition is satisfied.
  • The opposite angles of a rhombus are equal. There are two obtuse angles and two acute angles.
  • All four sides of a rhombus are equal. The diagonals are not equal, but they intersect at 900.

Hence, a rectangle can't be a rhombus.


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