I like to show people moves that I can do in gymnastics WHEN THEY ASK ME TO! But my friend will always get mad and call it showing off! But I mean the person asked me to do it so would it still be considered showing off? Is it bad to show off? Even if the peson asks you to do it?
I think it is not really considered as showing off.
If you feel that you are not showing off, (and you really aren't, hopefully) than you shouldn't take heart on what your friends say, you know best. And, it is pretty bad to show off... I
do Taekwondo and at that sport/martial art, when you show off you're only inviting trouble because people will certainly think of you as a show off, and you might never know if someone is laughing behind your back when you make a mistake!
Anyway, humbling yourself is always the best option. Good luck in your gymnastics!