originsymmetric
Origin-symmetric is a property of a set, figure, or function indicating invariance under the negation map x → -x, or equivalently under a 180-degree rotation about the origin. A subset S of Euclidean space is origin-symmetric if x ∈ S implies -x ∈ S. In many contexts this is also called central symmetry about the origin.
For graphs of functions, origin symmetry means the graph is invariant under the point reflection (x, y)
Examples include a circle centered at the origin (x^2 + y^2 = r^2), and any ellipse centered at
Notes and relationships: origin symmetry is a special case of central symmetry about the origin. It does
See also central symmetry, odd function, symmetry (mathematics).