The centromere of each chromosome splits during the anaphase stage of both mitosis and meiosis. In mitosis, this happens during anaphase, when sister chromatids separate and move to opposite poles of the cell. In meiosis, the centromere splits during anaphase II, which is similar to anaphase of mitosis, and sister chromatids separate. So, the correct answer is : Option D : Anaphase, Anaphase II.