Girlfriend?

My friends are telling me Smart Guy thinks we are in a relationship and I am his girlfriend.  That's odd, I don't remember having a DTR (define the relationship or) WAW (what are we) type of conversation.  Yes, we typically see each other on the weekends, more Saturdays than Fridays.  Yes, he does hold my hand.  I am no one's girlfriend without a discussion.  Furthermore, I have some issues with him.  For example, I was very sick last weekend, which he knew.  He didn't even ask me if I was okay or if I wanted him to bring me anything.  That's a very bright RED FLAG!