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Anjali claims a quadrilateral whose diagonals bisect each other must be a parallelogram.
Which choice correctly evaluates her claim?

Class 8Properties of QuadrilateralsGeometry
  • ATrue - if diagonals bisect each other, the quadrilateral is a parallelogram
  • BFalse - this is only true for rectangles
  • CFalse - it must also be a rhombus
  • DTrue only if the diagonals are equal

Step-by-Step Solution

A quadrilateral whose diagonals bisect each other is always a parallelogram (a standard converse property).
Answer: A) True - if diagonals bisect each other, the quadrilateral is a parallelogram

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