Final answer:
Synapsis does bring homologous chromosomes together during prophase I of meiosis, allowing them to cross over, which is facilitated by the synaptonemal complex. This statement is true.
Step-by-step explanation:
Synapsis does indeed bring together homologous chromosomes side by side to allow them to cross-over. This statement is true. During prophase I of meiosis, homologous chromosomes come together to form a synapse, tightly bound by a protein lattice known as the synaptonemal complex. This tight pairing, called synapsis, is crucial as it ensures that the genes on the chromatids of the homologous chromosomes align precisely with one another. The synaptonemal complex facilitates the process of crossing over, where chromosomal segments between non-sister homologous chromatids are exchanged. This exchange can be seen as chiasmata under a microscope, and it introduces genetic variation within the gametes. Moreover, the synaptonemal complex disassembles after crossover, preparing chromosomes for further steps in meiosis.