Antagonize means in my own words to provoke someone to hostility.
Every day my mom makes little but unnecessary comments ( i.e. because of you, I have no nerves left.... When you ask a question like, Are you going to read these magazines and she replies, sure because I've got nothing better to do...and on and on it goes) that provokes me to want to verbally lash out at her. This would be an example of being antagonized. I don't lash out by the way.
Hopefully this helps.