Hi there,
Just for future reference, you'll get much more useful and accurate information if you include what year and model you're working.
On the issue of sprocket symmetry, I'm going to guess that it is symmetrical. I'm not a 750 guy which your signature suggests that's what you're working. Pull it off and use the ol' calibrated eyeball, should be pretty easy to tell if it is symmetrical.
However you should be aware that sprockets and chains wear together in all systems that use them so changing one item may prove troublesome, if you're trying to make things nice looking, maybe just replace the shootin match?
Good luck!
Will-