Prophecy - Why Dumbledore didn't defeat Voldemort?

[p0tterfan]

No: HPFGUIDX 108862

Not sure if this has been discussed before, but while reading the 
prophecy again, the whole "in essence divided" comment made by 
Dumbledore in OotP made me think.  

Could it be that Harry and Voldemort are connected through the scar 
in a manner that if either one dies at the hand of another person 
(besides the other) they both die.  Could this be the reason why 
Dumbledore doesn't try to kill Voldemort in the battle at the MoM?

I think this would satisfy the prophecy in that if Voldemort kills 
Harry, he comes into his "full power" and vice-versa for Harry.

Just a thought.  Not sure if this has already been discussed or not, 
but I thought I'd ask anyways.  I think this would explain why Harry 
has to be the one to 'vanquish' Voldemort and not anyone else, 
otherwise he would die as well?

Cheers,
-p