I don't know about the laws in your jurisdiction, but in my state, we have a law regarding dogs known as, "Liability, dog owner."
This law deals with irresponsible dog ownership.
Who here will attest to the fact that this dog owner maintained complete control of his dog?
Don't mistake my position for being pro-police, look at the facts of the matter.
That dog would never have been shot by the police if the dog had been properly constrained within the vehicle.