Final answer:
Penelope tricked Odysseus into proving his identity by demanding a valuable gift, reflecting the archetype of a loyal but cautious wife.
Step-by-step explanation:
Penelope tricked Odysseus into proving his identity by demanding a valuable gift as proof, like the ring she gave him. Her action suggests that she has doubts about Odysseus' identity and wants to test him. This situation reflects the archetype of a loyal but cautious wife who wants to be sure that her husband has indeed returned.