# Proving that the diagonals of a Parallelogram bisect each other

• Apr 2nd 2011, 12:04 AM
rorosingsong
Proving 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, 04:08 AM
veileen
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 $\overrightarrow{DM}$ and $\overrightarrow{DN}$.)