Crests and troughs
At any instant a transverse wave has high points and low points. The highest are its crests; the lowest its troughs.
Figure to be added
Crest
The particles at A and B have moved the greatest possible distance upwards. Positions like these are the crests of the wave.
Trough
The particles at C and D have moved the greatest possible distance downwards. Positions like these are the troughs of the wave.
Crests and troughs do not travel with the water
A crest is a position, not a lump of water. The water under a crest moves back down a moment later, and the crest appears one step further along — made of different water.