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Which of the following is the converse used: 'In a quadrilateral, if each diagonal divides it into two congruent triangles, then it is a parallelogram'?

Class 9Conditions for a ParallelogramGeometry — Quadrilaterals
  • AA valid condition for a parallelogram
  • BA condition only for a rectangle
  • CNever true
  • DA condition only for a kite

Step-by-Step Solution

If a diagonal divides a quadrilateral into two congruent triangles in this manner, opposite sides become equal, giving a parallelogram.
Answer: A) A valid condition for a parallelogram

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