All examples depict a process that transforms one object into another (two example input-output pairs are provided in every panel). In left-sorted examples, each input corresponds to a unique output, whereas in right-sorted examples, different inputs could potentially lead to the same output. There is a sense in which all the processes described on the right "lose" some amount of the input's information.
Various formats of Bongard Problems frequently seen on the OEBP are showcased on the left side here.
CROSSREFS
See BP968, which distinguishes solvable Bongard Problems from other images still formatted like Bongard Problems (as opposed to this page, which distinguishes Bongard Problems from any other images.)