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In quadrilateral ABCD, AB = DC = 9 cm but AB is NOT parallel to DC.
Does the equality of this one pair of opposite sides prove ABCD is a parallelogram?

Class 9Conditions for a ParallelogramGeometry — Quadrilaterals
  • ANo, one pair equal but not parallel is not enough
  • BYes, equal opposite sides are enough
  • CYes, because both diagonals are equal
  • DNo, because all sides must be 9 cm

Step-by-Step Solution

A single pair of opposite sides being equal (without being parallel, or without the other pair also equal) does not guarantee a parallelogram.
Answer: A) No, one pair equal but not parallel is not enough

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