What makes a shape symmetrical?

Look at your face in a mirror. Now imagine a line running straight down the middle, splitting you in two. Your left side and right side match pretty well, right? One eye here, one eye there. One ear, one ear. That matching — that's symmetry, and it's everywhere once you start looking.
The simplest kind is reflection symmetry — like that mirror trick. If you could fold a shape along a line and both halves would stack up perfectly, it's got reflection symmetry. A heart shape folds down the middle. A butterfly's wings match left and right. The line where you fold is called the axis of symmetry, and it's the shape's invisible backbone.
