If the diagonals of a quadrilateral bisect each other, then the
quadrilateral is a parallelogram.
Text Solution
Verified by Experts
In `/_\AOD` and `/_\COB`
`OA=OC` (given)
`/_AOD=/_COB` (vertically opposite angles)
`OD=OB` (given)
Thus, by SAS congruency, `/_\AOD` and `/_\COB` are congruent.
Therefore, `/_OAD=/_OCB`
For lines `AB` and `CD` with transversal `BD`,
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