Three different notions of geometric degeneration for finite dimensional alge-bras are compared.It is proved that for algebras A0 and A1 of same dimension,if A0 is a CB-degeneration of A1,then A0 is a degeneration of A1 in the classical sense; moreover,if additionally A0 and A1 are basic,then Ao is a CB-degeneration of A1 if and only if A0is a rigid degeneration of A1.It is also shown that CB-degenerations along affine lines in the different dimension case do not differ so much from those in the equal dimension case.