Final answer:
The concept that describes the growth of embryos mimicking their evolutionary history is known as Recapitulation theory. This theory posits that embryonic stages represent the evolutionary history of the species.
Step-by-step explanation:
The growth of embryos in the womb that mimics its evolutionary family history is known as D. Recapitulation theory. This concept, initially proposed by Ernst Haeckel, suggests that during the development of the embryo (ontogeny), it exhibits stages that resemble the stages of its ancestral evolutionary history (phylogeny). As the embryo develops, it may show features that its ancestors once had, such as gill slits and tails in vertebrates, which usually disappear before birth.