Answer: The bow and arrow treasured by Odysseus and his family.
Odysseus's bow and arrow are a symbol of loyalty and fidelity. This is shown throughout the text in a few different ways. The bow and arrow are the items that his family treasures, as they are a direct link to Odysseus and a symbol of their loyalty to him. Moreover, the bow and arrow appear again when the suitors want to win Penelope's hand. She states that the man who can string the bow and shoot an arrow through twelve axe heads will win her hand in marriage. No one is able to do so except for Odysseus. Once again, the bow and arrow are the thing that connects Penelope and Odysseus, and that no one is able to steal or destroy.