Is there a property that states "If x=y, then y=x"? Just wondering if there was a name for it.

if x= y, then y =x---------------it is symmetric property

if x =x-----------------------reflexive property

if x =y, y =z, then x = z-------------it is transitive property

The property of "symmetry" applies to any relation (such as equality) that must apply to the pair (y,x) if it applies to the pair (x,y).

Examples of symmetric relations are equality, (non-directional) inequality, similarity, geometric congruence, number-theoretical congruence, adjacence, separation, logical equivalence, siblinghood, cousinhood, etc.

The symmetric property of equality.

Law of symmetry or something.

it shows thAt slops of both eqn. r equal