Final answer:
In the story of Odysseus and the Cyclops, the men burn an offering to The Cyclops, Polyphemus.
Step-by-step explanation:
In the story of Odysseus and the Cyclops, the men burn an offering to A) The Cyclops, Polyphemus. In the epic poem, The Odyssey, Odysseus and his men blind the Cyclops, Polyphemus, as a plan to escape from his cave. As they leave, Odysseus taunts Polyphemus and reveals his true name, which angers the Cyclops. In his anger, Polyphemus prays to his father, the sea god Poseidon, to seek revenge on Odysseus and his men. To appease and honor Polyphemus, the men offer a sacrifice by burning a portion of their food and drink.