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Priya states four properties:
(i) opposite sides equal, (ii) diagonals equal, (iii) diagonals perpendicular, (iv) all sides equal.
Which combination is true for a square but a non-square rectangle fails?

Class 8Special ParallelogramsQuadrilaterals
  • Aonly (i)
  • Bonly (ii)
  • C(iii) and (iv)
  • D(i) and (ii)

Step-by-Step Solution

A non-square rectangle satisfies (i) and (ii) but its diagonals are not perpendicular and its sides are not all equal, so (iii) and (iv) distinguish the square.
Answer: C) (iii) and (iv)

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