Final answer:
In a 2/4 time signature, a dotted half note gets 3 beats. In a 3/4 time signature, a dotted half note gets 4 beats. In a 4/4 time signature, a dotted half note gets 6 beats.
Step-by-step explanation:
A dotted half note gets 3 beats in a 2/4 time signature, 4 beats in a 3/4 time signature, and 6 beats in a 4/4 time signature. In a 2/4 time signature, there are 2 beats per measure, so a dotted half note takes up 1.5 beats. In a 3/4 time signature, there are 3 beats per measure, so a dotted half note takes up 2 beats. In a 4/4 time signature, there are 4 beats per measure, so a dotted half note takes up 3 beats.