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Meena claims: 'In every rectangle the diagonals are equal, so a rectangle must be a square.'
Is her reasoning correct, and why?

Class 8Special ParallelogramsQuadrilaterals
  • ACorrect; equal diagonals force equal sides
  • BIncorrect; a square also needs all sides equal
  • CCorrect; all rectangles are squares
  • DIncorrect; rectangles have unequal diagonals

Step-by-Step Solution

Equal diagonals only make it a rectangle. A square additionally requires all four sides equal, so her conclusion is wrong.
Answer: B) Incorrect; a square also needs all sides equal

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