Question

prove that the diagonal of a parellelogram bisects each other

Answer 1

o is the point of intersection of ac and bd
oa=oc and ob=od
since opp. sides of parallelogram are equal
ad=bc
with transversal db
angle oda=angle ocb
ad=bc
eith transversal ac
ang.oda=ang.ocb
hence proved diagonals of a parallelogram bisect each other