Question

proof that the diagonal of a parallelogram bisect each other? please answer

Answer 1

in parallelogram abcd ad =bc (opposite sides of parallelogram)
and ad parallel to bc
now in triangle aod and boc
ad=bc given
angle ado= angle obc
and
dao =ocb
so these two triangle are cingurent by asa rule
so ao=oc and do =ob ( cpct)
so diagonal of a parallelogram bisect each other

Answer 2

opposite sides are congruent , opposite angles are congruent , the diagonals of the parallelogram bisect each other , and conversely, rectangle are parallelogram with congruent diagonals ...