Points A through D form a square in a uniform E$-$field, as show. The horizontal sides of the square $($ C to D and A to B $)$ are parallel with the field and the vertical sides of the square $($ A to D and B to C $)$ are perpendicular to the field. A negatively charged particle begins at point D $,$ moves to E $,$ then to C $,$ then to B $,$ and ends at A $.$

Which of the following is TRUE about its trip? You may select more than one statement.

The particle passes through a negative potential difference from B to A $.$

The particle gains electrical potential energy from E to C$.$

The particle gains electrical potential energy from B to A $.$

The particle passes through a negative potential difference from C to B $.$

The particle passes through a positive potential difference from D to E $.$

The particle passes through a negative potential difference from E to C $.$

The particle loses electrical potential energy from D to E$.$

The particle gains electrical potential energy from C to B $.$