Hi, can someone show me how I would use vectors to prove that the diagonals of a parallelogram bisect each other?

Thanks, any help would be appreciated.

Cheers.

- Apr 1st 2011, 11:04 PMrorosingsongProving that the diagonals of a Parallelogram bisect each other
Hi, can someone show me how I would use vectors to prove that the diagonals of a parallelogram bisect each other?

Thanks, any help would be appreciated.

Cheers. - Apr 2nd 2011, 03:08 AMveileen
Indication:

Let M be the middle point of [AC] and N the middle point of [BD]. Try to prove that M=N. (For that a first step is writing $\displaystyle \overrightarrow{DM}$ and $\displaystyle \overrightarrow{DN}$.)