In my state, dogs are considered property, and you don't "adopt" property, you buy/sell/own property. No different than a car, and the legal distinction is a good thing that protects everyone.
This twist in the conversation has me intrigued and has gotten my research fingers banging on the Google keyboard. My guess is that every state considers pets as property. I don't know that to be a fact (yet), but I would be willing to bet a lot of money (if I were a betting man) that at least most of the U.S. states view pets as property. This obviously creates a lot of wailing and gnashing of teeth in litigation situations when a pet owner is only awarded the market value for a lost pet after winning a lawsuit. I know that some jurisdictions weigh show dogs and breeding stock differently, but I would guess that the awards are rarely what an owner would expect.
As a side note, I always assumed that the term "adopted" was from general usage and not really intended to meet legal standards.

