Final answer:
The synaptonemal complex disappears at the end of prophase I of meiosis I, which allows the segregation of homologous chromosomes to proceed.
Step-by-step explanation:
The synaptonemal complex is an important structure that forms during the first prophase of meiosis, facilitating the pairing of homologous chromosomes. As prophase I progresses, the synaptonemal complex allows for homologous chromosomes to undergo synapsis (to align with each other) and support the exchange of chromosomal segments in crossing over.
The breakdown of the synaptonemal complex marks the end of prophase I, allowing the chromosomes to begin segregating. According to the options provided, the correct answer to the question 'When does the synaptonemal complex disappear?' is A) late prophase of meiosis I. At this stage, the homologous chromosomes are held together only at the chiasmata and are called tetrads.