Question

Prove that if the diagonals of a quadrilateral bisect each other, then it is
a parallelogram​

Answer 1

Answer:

Let ABCD be any quadrilateral such that it's diagonal bisect each other at point "O"

Step-by-step explanation:

In ∆ AOD and ∆ COB

They are congruent by SAS Test

AO=CO .....(given)

OD=OB .....(given)

Angle AOD=Angle BOC ...(Vertically Opposite)

Angle DAO=Angle BCO ...(by C.P.C.T)

Therefore,these are alternate angles

Therefore,AD||BC

Similarly,for other two.

HOPE IT'S HELPS.

Answer 2

Answer:

Here is your answer

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