Theorem 8.6 - Class 9 - Diagonals of parallelogram bisect each other.jpg

2 Theorem 8.6 - So OA = OC & OB = OD  (CPCT) Hence Proved.jpg

  1. Chapter 8 Class 9 Quadrilaterals
  2. Serial order wise
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Theorem 8.6 The diagonals of a parallelogram bisect each other Given : ABCD is a Parallelogram with AC and BD diagonals & O is the point of intersection of AC and BD To Prove : OA = OC & OB = OD Proof : Since, opposite sides of Parallelogram are parallel. In △ AOD and △BOC ∠OAD = ∠OCB AD = CB ∠ODA = ∠OBC △AOD ≅ △BOC So, OA = OC & OB = OD Hence Proved

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