CBSE Class 9 Answered
Prove that if the diagonals of a
quadrilateral bisect each other, then it is a parallelogram.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
OA = OC and OB = OD [Given]
AOB = DOC [vertically opp. angles]
[SAS congruence]
Therefore ABO = CDO (cpct)
From this, we get AB||CD ...(i)
Similarly BC||AD ...(ii)
From (i) and (ii) ABCD is a ||gm.
Answered by | 04 Jun, 2014, 03:23: PM
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