An edge trigger condition is not satisfied from a single point, but as a transition across a lower and upper threshold as determined by trigger level, trigger sensitivity and trigger kind.
Let’s say we configure for a rising edge trigger and start with the waveform sitting well above trigger level. The waveform then drops below trigger level (or more precisely below the sensitivity band lower level) and now the first condition is satisfied. Eventually, the waveform will start to rise and once we reach or exceed trigger level (sensitivity band upper level), the second condition is satisfied and we have a successful trigger. That is a low to high transition crossing the sensitivity band (a rising edge). If the waveform starts out below trigger level, the same logic applies, but the first condition will be satisfied immediately.
Trigger position as marked on the DSO coincides with the sample point that satisfies the second condition.