He tells her about their bed and how its made out of the olive tree and immovable. Only something that Odysseus and her knew.
Odysseus wishes to test Penelope's faithfulness. Furthermore, by remaining hidden from Penelope, he can take care of his business with the suitors, and reveal himself when he is ready. Odysseus wishes to come back to Penelope a man, having dealt with all the problems in their house first.
Odysseus waits to reveal himself to Penelope because he wants to test her loyalty and see if she has remained faithful during his absence. He also wants to ensure that it is safe to reveal his true identity, given the suitors' presence in his home. Additionally, revealing himself at the right moment allows for a more dramatic and emotionally impactful reunion.
When Penolope asked him to move her bed out of her chambers, he replied that it was not possible because the bed was stuck to the ground. This works because Penelope did not let anyone, even servants, into her quarters exept for Odysseus
Odysseus chooses not to reveal his identity to his wife Penelope because he wants to test her loyalty and see if she truly believes he is still alive. He also wants to assess the situation in the palace and determine who he can trust before revealing himself as Odysseus.
Penelope set the test of stringing Odysseus's bow to identify the one suitor who could successfully complete this task, as it required great strength and skill. By setting this test, Penelope hoped to reveal the true identity of her husband, Odysseus, who she suspected might be among the suitors in disguise.
(A+) Athene
Odysseus does not reveal his true identity to his wife Penelope when he first returns to Ithaca because he needs to test her loyalty and the loyalty of his household members. He also wants to ensure that he has a strategic advantage in dealing with the suitors who have taken over his home in his absence. Additionally, revealing his true identity prematurely could jeopardize his plans for revenge and reclaiming his kingdom.
loki
Athena tells Odysseus to reveal his identity to Telemachus, as there is no point in keeping it hidden from him. Telemachus can also help his father on his quest for vengeance, as he is completely trustworthy.
After winning the archery contest he reveals his identity to the suitors and kills them all.
To see if he is faithful toward him.
Penelope's ostensible offer of marriage and her solicitation of gifts constitute a dolos with a double aim: to keep the suitors off guard and to reassure Odysseus of her loyalty, in the well-founded belief that he has today returned in the guise of the stranger.