How does Odysseus trick the Cyclops Polyphemus?

Ship

Odysseus tricked Polyphemus by telling Polyphemus that his ship was wrecked. This tricked Polyphemus into not looking for the ship.

Name

Odysseus tricked Polyphemus by saying his name was "No Man" or "Nobody". When the cyclops called for help, his friends thought "Nobody" was hurting him.

Drunkenness

Odysseus tricked Polyphemus into getting drunk and falling asleep. They could then stab Polyphemus in the eye.

Escape

Odysseus tricked Polyphemus into letting him and his men escape by hiding under the sheep as they exited the cave. Odysseus hid under the largest ram.