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Arjun has a quadrilateral frame PQRS.
He finds the diagonals PR and QS cross at O with PO = OR and QO = OS.
He also notes PR is not equal to QS.
What is the most specific name for PQRS?

Class 9Conditions for a ParallelogramGeometry — Quadrilaterals
  • AA parallelogram (not necessarily a rectangle)
  • BA rectangle
  • CA square
  • DA kite

Step-by-Step Solution

Diagonals bisecting each other give a parallelogram. Since the diagonals are unequal, it need not be a rectangle, so the most specific certain name is parallelogram.
Answer: A) A parallelogram (not necessarily a rectangle)

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