The correct answer as to which was derived from an ancestral free-living bacteria would be the chloroplast.
Eukaryotic cell organelles such as the mitochondrion and the chloroplast are hypothesized to have resulted from endosymbiosis. The is mainly because both organelles behave like independent entities with their own genomic systems.
Ancestral free-living prokaryotes such as bacteria were thought to have been internalized by ancestral eukaryotic cells, and these results in either of the two organelles. The hypothesis is known as the endosymbiosis theory.
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