Let’s start out by staying most people are on Facebook are not dangerous people. There are businesses, professional people, ordinary citizens on Facebook to connect with family, friends, and potential clients.
Social media is an important part of our culture as was demonstrated in Egyptian protests a few days ago, and Iranian elections a few months ago. It is also important for us to be safe when using the social media sites.
I have found a great resource for parents to read. There is a PDF document that parents can download to read and to share with your child. This is from Connect Safely a parent website that teaches about Internet safety.
If you and your child are on Facebook, I would suggest reading it. There is nothing more important that teaching internet and social media safety measures to our children.