Symmetry principles are principles governing the laws of nature that say those laws look the same if you change your point of view in certain ways. — Steven Weinberg.
It’s symmetrical when it is the same on both sides.
Where can we find symmetry?
Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one half is the mirror image of the other half.
If an object is symmetrical, it means that it is equal on both sides.
If you fold a paper such that half of the paper coincides with the other half of the paper, then the paper has symmetry.
Why does nature embody so much symmetry?
This may be an answer.
Symmetry leads to the economy, and nature, like human beings, seems to prefer the economy.