Symmetry: Folding a Shape So Both Sides Match Exactly

Think about where you have seen this before. God built symmetry into leaves, faces, snowflakes, and wings. Beauty and order often show up together. This is worth learning because symmetry is order you can see and test with your own hands.

Watch for it today, and when you spot it, tell someone what you noticed and how you knew. Ask yourself where else the same idea might be hiding, then go and look.

Here comes a new math idea. A shape has symmetry if you can fold it so both halves match exactly, edge for edge. A square can be folded several ways with matching halves. A circle can be folded through the center in any direction.

A butterfly has symmetry, and so does your own face, nearly. Test a shape by folding it and looking at the edges. If they do not match, that fold is not a line of symmetry.

Try testing a shape that has no symmetry, like a random scribble. Folding it never makes matching halves. Knowing what fails is part of understanding what succeeds. Try it once with someone beside you, then try it alone.