Final answer:
The statement about flagella composed of microtubules playing a role in cell division is true, as microtubules are critical for structural support, motility, and organizing the mitotic spindle during cell division.
Step-by-step explanation:
The statement that flagella made up of microtubules help organize cell division is true. Microtubules serve various essential functions in the cell including maintaining cell structure, organizing the cell's interior, moving cellular components, and facilitating cell motility through structures like flagella and cilia. During cell division, they play a critical role in forming the mitotic spindle, which is essential for the equal distribution of chromosomes into the daughter cells.
Centrioles, which are made up of microtubules, are indeed involved in organizing the cell's microtubule cytoskeleton and thus are critical during cell division. In eukaryotic cells, flagella and cilia are structured by microtubules in a complex arrangement. However, this is distinct from the structure of microtubules within prokaryotic flagella, which are made of the protein flagellin and not microtubules.