Final answer:
The statement 'a component of the cytoskeleton' is not true about flagella; they are instead cell organelles associated with locomotion, found in eukaryotic and prokaryotic cells, including human sperm cells.
Step-by-step explanation:
The statement that is not true about flagella is E. a component of the cytoskeleton. Flagella are indeed found on both prokaryotic cells and eukaryotic cells, including human sperm, and are used for movement.
However, flagella are not a component of the cytoskeleton; rather, they are cell organelles associated with cell motility. In prokaryotes, flagella are made up of the protein flagellin and rotate to propel the cell.
In contrast, eukaryotic flagella have a complex structure consisting of a 9+2 array of microtubules that slide against each other, causing the flagellum to bend and move. This is different from the cytoskeleton, which is a network inside the cell that supports the cell's shape and is involved in intracellular transport.