Prove that diagonals of parallelogram bisect each other.
Answers
Answered by
5
See it I think it would definitely help you
Attachments:
Answered by
77
Let consider a parallelogram ABCD in which AB||CD and AD||BC.
In ∆AOB and ∆COD , we have
∠DCO=∠OAB (ALTERNATE ANGLE)
∠CDO= ∠OBA. (ALTERNATE ANGLE)
AB=CD. (OPPOSITE SIDES OF ||gram)
therefore , ∆ AOB ≅ ∆COD. (ASA congruency)
hence , AO=OC and BO= OD. (C.P.C.T)
Similar questions