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Anita claims a quadrilateral whose diagonals bisect each other must be a parallelogram.
Is her claim correct, and why?

Class 9Properties of a ParallelogramGeometry — Quadrilaterals
  • ACorrect — bisecting diagonals is a sufficient condition for a parallelogram
  • BIncorrect — it could be a trapezium
  • CIncorrect — diagonals must also be equal
  • DIncorrect — it must also have a right angle

Step-by-Step Solution

By the converse theorem, if the diagonals of a quadrilateral bisect each other, it is a parallelogram.
Answer: A) Correct — bisecting diagonals is a sufficient condition for a parallelogram

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