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How to prove that the diagonals of parallelogram bisect each other using vector method?

Let's say for ABCD which is parallelogram, AB//DC, AD//BC, O is the point of intersection of the diagonals.

Can i straight away apply that [itex]\overrightarrow{AO}=\frac{1}{2}\overrightarrow{AB}+\frac{1}{2}\overrightarrow{BC}[/itex]