How do I answer, is he/she your boyfriend or girlfriend?

by Maria
(Portugal)

I'm a teenager at the first year of university. I´ve been dating a friend of mine for about two weeks. We´re becoming closer to each other and I think we have a great and healthy relation. However, we're in that stage that comes before officially becoming boyfriend and girlfriend.
When we are with other friends, it's probably noticeable that we are starting a relation and that we care about each other.

Here is my problem: I've sometimes seen some of my friends asking a person "is he/she your boyfriend/girlfriend?". The point is I wouldn´t know what to answer if someone would try this approach with me. And I would feel embarassed.

I think that a lady should never be the first to bring this topic to conversation with the gentleman, but I´d really like to find out what he thinks about our relation or what he calls it.

Thank you for reading this and for trying to help!