How to prove that a graph is centrosymmetric, congruent or other?

How to prove that a graph is centrosymmetric, congruent or other?

Geometry or algebra
If it is algebra, to prove that a function is centrosymmetric (for example, the center is at the origin) is to prove that f (- x) = - f (x)
In geometry, connect the corresponding points, and prove that the center is the midpoint of the line (of course, the line passes through the center)

Elden Ring Premiere

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