A momentous event: an Archaean cell engulfs a bacterium — but instead of digesting it, keeps it alive. That bacterium becomes the mitochondrion. Later, some cells engulf cyanobacteria — those become chloroplasts. This is the endosymbiotic theory, supported by the fact that both organelles still have their own circular DNA, divide by binary fission, and have double membranes. The first eukaryotes have nuclei, membrane-bound organelles, and dramatically more complexity than anything that came before.