Upon registering a SIM card

Generally when one wants a to buy a SIM card, he’s generally asked his ID and the latter is photocopied in order to associate the related identity to the SIM, and then the asker is given the SIM and becomes its owner, but isn’t it a risk that the SIM shop worker could use that photocopy maliciously for other purposes, such as registering another SIM on that identity in order to commit a crime in name of that man? Isn’t there a law preventing this or some precautions that could be taken (or anything that we could ask to the SIM shop worker, such as giving us the photocopy in order to be sure)?