A relation R is called circular if aRb and bRc imply that cRa. Show that R is reflexive and circular if and only if it is an equivalence relation. Solution Spoze R is reflexive and circular. aRb ==> aRa and aRb ==> bRa. So R is symmetric. aRb and bRc ==> cRa ==> aRc (because R is symmetric). So R is transitive. So R is an equivalence relation..