Why don't you CONTROL YOUR DOG. Problem solved.
Maybe, but that doesn't give someone the right to shoot it necessarily. There may also be laws against discharging a weapon in city limits. Heck, here you can't even fire a slingshot legally.
So someone may have broken a law by shooting the animal. Are there leash laws there? I dunno.
I once had a Chow Mix that I nicknamed "Houdini". She could and did escape everything. Even tried an electric fence. She'd put those big furry paws right on the wire and not even grimace - just climbed right over it. One time she escaped the electric fence and disappeared for several days then showed up with a busted hip and leg. I then put her in the garage thinking she wouldn't escape. She chewed through the wall and did just that.....
Let me on the record saying this is ridiculous. It's no reason to SHOOT a dog.
10-1 odds say you're the jerk that shot the dog.