Final answer:
In music, 'adagio' and 'prestissimo' are tempo markings that indicate slow and very fast speeds, respectively. 'Legato' and 'staccato' are not tempo markings but indications of how to play the notes, smoothly connected or detached.
Step-by-step explanation:
The tempo markings in music indicate the speed at which a piece should be played. From the options given:
a) Adagio - This is a tempo marking that indicates a slow pace.
b) Legato - This is not a tempo marking; rather, it describes the manner of playing notes in a smooth, connected way.
c) Prestissimo - This is a tempo marking which denotes a very fast pace, even faster than presto.
d) Staccato - This term is not a tempo marking. Instead, it refers to a style of playing where notes are played in a detached and separated manner.
Therefore, 'adagio' and 'prestissimo' are tempo markings, while 'legato' and 'staccato' are not.