This is a correctly matched pair

The correctly matched pair is Endoplasmic reticulum – has a role in the formation of a new nuclear membrane while cell divides.

Let us break down the logical reasoning step-by-step to understand why this pair is correct and why the other options are incorrect:

1. Endoplasmic Reticulum (ER) and Nuclear Membrane: During telophase (the final stage of cell division), the nuclear envelope begins to reform around the two sets of separated chromosomes. The endoplasmic reticulum, which is physically continuous with the outer nuclear membrane, plays a critical role in this process. Pieces of the ER membrane associate with the chromatin surface and fuse together to reconstruct a new, functional nuclear membrane. Therefore, this pairing is biologically accurate.
2. Lysosomes and Amino Acid Synthesis: Lysosomes are membrane-bound organelles that contain hydrolytic enzymes responsible for breaking down waste materials, cellular debris, and foreign particles (intracellular digestion). They are not involved in synthesizing amino acids; amino acid synthesis is primarily a metabolic process occurring in the cytosol and mitochondria, while protein synthesis occurs on ribosomes. Thus, this option is incorrectly matched.
3. Microsomes and Photosynthesis: Microsomes are vesicle-like artifacts reformed from pieces of the endoplasmic reticulum when cells are broken up in the laboratory; they do not exist as distinct organelles in living cells. Photosynthesis occurs in chloroplasts in plant cells. Thus, this option is incorrectly matched.
4. Centrosomes and Digestion: Centrosomes serve as the main microtubule-organizing centers (MTOCs) in animal cells and are essential for organizing the mitotic spindle during cell division. They do not provide digestive enzymes; that is the function of lysosomes. Thus, this option is also incorrectly matched.