Why would cause the kitchen faucet to freeze in the middle of the house?

You need to be a detective, if you mean one the first floor of a two story house with a basement; your middle or main floor could have the pipes running through an outside wall. If this is the case there will probably be a valve in the basement that leads to this sink, use that valve to turn off that supply until the problem is fixed. Doing this will allow you to have water to the rest of the house.