A skid occurs when the aircraft slides sideways __________ the center of the turn and the side slip indicator is displaced _________ the direction of the turn.

In this context, understanding aircraft dynamics during a turn is essential for recognizing a skid, which occurs when the aircraft is not properly coordinated during the maneuver. A skid happens when the aircraft slides sideways away from the center of the turn. This occurs because the aircraft is experiencing too much uncoordinated motion due to excess bank or insufficient rudder input, which ultimately causes it to lose the effective angle of attack necessary for balanced flight.

Additionally, the side slip indicator, which reflects the balance of the aircraft, will display a displacement opposite to the direction of the turn in a skid situation. This means if the aircraft is turning left but skidding outwards to the right, the side slip indicator will show a deflection to the right, indicating that the aircraft is in a state of skid away from the intended path of the turn.

Thus, when analyzing the relationship between the direction of the turn and the side slip indicator displacement during a skid, the correct answer is that a skid occurs when the aircraft slides sideways away from the center of the turn and the side slip indicator is displaced opposite the direction of the turn.