what types of structures have the same function but do not share a common ancestry
Convergent evolution Convergent evolution is the independent evolution of similar features in species of different lineages. Convergent evolution creates analogous structures that have similar form or function but were not present in the last common ancestor of those groups. The cladistic term for the same phenomenon is homoplasy. The recurrent evolution of flight is a classic example, as flying insects, birds, pterosaurs, and bats have independently evolved the useful capacity of flight. Functionally similar features that have arisen through convergent evolution are analogous, whereas homologous structures or traits have a common origin but can have dissimilar functions. Bird, bat, and pterosaur wings are analogous structures, but their forelimbs are homologous, sharing an ancestral state despite serving different functions.
Last universal common ancestor The last universal common ancestor (LUCA), also called the last universal ancestor (LUA), cenancestor, or (incorrectly[R 1]) progenote, is the most recent population of organisms from which all organisms now living on Earth have a common descent.[1] LUCA is the most recent common ancestor of all current life on Earth. LUCA should not be assumed to be the first living organism on Earth. The LUCA is estimated to have lived some 3.5 to 3.8 billion years ago (sometime in the Paleoarchean era).[2][3] The composition of the LUCA is not directly accessible as a fossil, but can be studied by comparing the genomes of its descendents, organisms living today. By this means, a 2016 study identified a set of 355 genes inferred to have been present in the LUCA.[4]