I find it extremely unlikely that you would be asked to find a pattern here. There just isn't enough data to go on, and it's not the sort of question likely to be asked in elementary set theory.
In your first post you said 'label the sets'. That's not the same as finding a pattern in them, and is a much more reasonable task. Trouble is, 'the sets' is rather vague. In the PDF, two sets are already labelled, A and B. What's unclear is which other sets are to be labelled, but you could obviously label the intersection of A and B, and universal set. You could also identify the union and the complements, though those might be harder to indicate in a drawing.
Are you quite sure there's no other information which might indicate which sets you are expected to label?