To answer the question regarding which stage of meiosis involves the division of the centromere, let's first understand the process of meiosis, particularly focusing on the stages involved.
Meiosis is a type of cell division that reduces the chromosome number by half, resulting in the formation of four haploid cells (gametes). It consists of two successive divisions: Meiosis I and Meiosis II. Each division has sub-stages: Prophase, Metaphase, Anaphase, and Telophase.
The centromere is the region of a chromosome where the kinetochores form and spindle fibers attach during cell division. The division of centromeres is crucial as it leads to the separation of sister chromatids.
Based on the above explanation, the correct answer is Anaphase II, as it is during this stage that the centromeres divide, resulting in the separation of the sister chromatids.