Among the following an equivalence relation is

A) is parallel to

Reflexive: $A\left|\right|B,B\left|\right|B$

Symmetric: $A\left|\right|B,B\left|\right|A$

Transitive: $A\left|\right|B,B\left|\right|CthenA\left|\right|C$

B) is perpendicular to

Transitive relation not satisfy

 $A\perp B,B\perp C$

is not $A\perp C$

C) is similar to

It is satisfy

Reflex: $A~A$

Symmetric: $A~B,B~A$

Transitive: If $A~B,B~C$

Then $A~C$

D) is congruent to

It is similar to similar condition.