First, the two assistant referees are instructed by the referee to each patrol half of a single touchline on opposite sides of the field. For example, on a field running north-south, one assistant referee (AR) would run on the eastern touchline from the north goal line to the halfway line, while the other assistant referee would run on the western touchline from the south goal line to the halfway line. In general, the assistant referees' duties would be to indicate (using their flags): when an offside offence has occurred in their half, when a ball has left the pitch, and if a foul has been executed out of the view of the referee (typically in their quadrant of the field). Generally, the ARs will position themselves in line with either the second to last opponent or the ball — whichever is closer to the goal line — in order to better judge offside infractions. However, the assistant referee will have specific positioning with respect to corner kicks, penalty kicks, and throw-ins.
| Quadrant 1 | Quadrant 2 |
|---|---|
| Referee | Assistant |
| Assistant | Referee |
| Quadrant 3 | Quadrant 4 |
Note that the description above refers to a left diagonal system of control, known as "running a left" or "standard diagonal". If, before the match, the center referee on this field decides to run from southwest to northeast, then the assistants must position themselves accordingly and the result will be a right diagonal system of control, otherwise refereed to as "running a right" or "reverse diagonal".
In international matches the left-wing diagonal shown above has been universal since the 1960's. It is now predominant across the world although a minority of referees in England still run the opposite diagonal and a very small number switch diagonal at half-time. The latter approach was mandatory in the Football League until 1974 but since officials have had the choice most have opted to stick with the same diagonal throughout a game.
Its implementation as a standard practice for referees is attributed to Sir Stanley Rous, President of FIFA from 1961 to 1974.