A slip occurs when the aircraft slides sideways _______ the center of turn and the side slip indicator is displaced __________________ the direction of the turn.

In aviation, a slip occurs when the aircraft is not aligned with its flight path, resulting in a sideways movement relative to the intended direction of flight. This typically happens during a turn when the aircraft is not banking sufficiently to maintain a coordinated flight path or when pilots use excessive aileron input without corresponding rudder use.

In a slip, the aircraft actually slides sideways towards the center of the turn. The side slip indicator, which is part of the aircraft's instrument panel that helps pilots assess the aircraft's lateral balance, will show displacement in the direction of the turn. This means that if a pilot is turning to the right, the slip indicator would also show a reading aligning with that right turn.

Therefore, the correct answer reflects this relationship accurately: during a slip, the aircraft slides towards the center of the turn and the side slip indicator moves in the same direction as the turn. This understanding is crucial for pilots to maintain coordinated flight and avoid adverse aerodynamic effects like loss of control or an unintentional spin.

The other choices misrepresent the direction of both the aircraft's slip and the slip indicator's displacement. Understanding these dynamics is vital for safe and effective flying in varying conditions.