Final answer:
Patroclus was not killed by Hector in battle.
Step-by-step explanation:
Among the choices given about Patroclus in the context of Greek mythology and the Trojan War, option F, 'He was killed by Hector in battle', is the one that is NOT true.
While Patroclus did indeed grow up with Achilles and wear his armor to battle, ultimately, he was not killed by Hector, but by Apollo, who first struck him and left him disoriented for Hector to deliver the final blow. This narrative is part of a larger mythological context, which includes the depiction of the relationship between Achilles and Patroclus as well as other events of the Trojan War as recounted in Homer's Iliad.
The statement that is NOT true about Patroclus is F. He was killed by Hector in battle.
Patroclus, Achilles' beloved friend, companion, and advisor, grew up alongside Achilles in Phthia under the guardianship of Peleus. He was devoted to both Achilles and the Achaean cause, standing by Achilles in times of rage. Patroclus also donned Achilles' armor in an attempt to hold back the Trojans.
However, Patroclus was not killed by Hector in battle. Instead, he was killed by Hector's brother, Apollo, who helped Hector in battle.