What Is a Symmetry in the Universe?

i wonder what confuses people alot times is that the name symmetry is a little bit different than what you just describe, right? Like to i think tho most people ed the word symmetry, t kind of means like, its the mirror opposite. A continuous symmetry is like take a piece of paper and draw a circle. That circle is the same no matter how much you rotate it. And tire's an infinite number of ways you rotate it and not change the circle. Or if you had an infinite sheet of paper and you drew a picture, it wouldn't really matter where you drew that picture. You couldraw it here or draw it there, it would be the same because the paper is