Page five is not a list of forms of identification, it is a list of documents you may provide to prove you have the legal right to work within the United States. It just happens to be that some forms of identification also prove work authorization for some citizenship statuses. For example, if you are a U.S. citizen your drivers license and social security card or your passport prove this. Edit: The I-9 form however does establish identity in addition to right to work because of the overlap.
Fun tip: Lots of companies request specific documents for the purpose of completing this form (drivers license and ssn usually), this is a form of discrimination and you have a legal right to complain to the Office of Special Council www.osc.gov
Disclaimer: I am employed by a company that specializes in supporting companies processes for this specific document.