The Mouse Trap
He doesn't. Hamlet tells Claudius that the name of the play is the Mousetrap, not the other way around. The actual name of the play is The Murder of Gonzago but Hamlet is using it to trap Claudius and so gives it a different name.
Hamlet doubts the ghost's statement that Claudius had murdered him--the ghost could be lying. He re-enacts the murder in a play and has it performed in front of Claudius. Sure enough, it causes an attack of conscience in Claudius.
Hamlet asks Horatio to observe Claudius.
Hamlet finds Claudius praying for forgiveness after the play. He decides that if he were to kill Claudius at that moment, Claudius would go to heaven rather than to hell. Hamlet decides to wait until he finds Claudius sinning, in order to kill him.
Horatio is Hamlet's most trusted friend. Hamlet tells him everything about the ghost that he saw and the plans for revenge that he has against Claudius. Laertes is also one of Hamlet's friends but they fight during the play because of what Hamlet did to Ophelia and because Hamlet killed Polonius.
When Hamlet says goodbye to Claudius, he refers to him as "my lord." This title reflects the formal relationship between them, as Claudius is the king and Hamlet is his subject. However, the use of this title is laced with irony, as Hamlet's true feelings of contempt and suspicion towards Claudius are evident throughout the play. This formal address underscores the tension between their roles and Hamlet's internal conflict regarding Claudius's actions.
He doesn't. Hamlet tells Claudius that the name of the play is the Mousetrap, not the other way around. The actual name of the play is The Murder of Gonzago but Hamlet is using it to trap Claudius and so gives it a different name.
Hamlet's uncle Claudius killed Hamlet's father (called Hamlet Sr.). The ghost of Hamlet Sr. comes back from the dead and tells Hamlet Jr. so. Hamlet Jr. confirms this by re-enacting the murder as a play, which upsets Uncle Claudius.
Hamlet doubts the ghost's statement that Claudius had murdered him--the ghost could be lying. He re-enacts the murder in a play and has it performed in front of Claudius. Sure enough, it causes an attack of conscience in Claudius.
Gertrude is the Queen of Denmark and the mother of Hamlet. She has no idea that Claudius killed her son's father. As shown in Act 3 scene 4. This reasoning comes from where Hamlet goes to her room and tells her angrily of what she has done wrong. It is news to her of Claudius being a murder and a villain.
Hamlet is disposed to believe ill of Claudius. He dislikes him and resents his marriage to his mother. That is why when the Ghost names Claudius as his murderer, Hamlet says "O my prophetic soul!"--he had already suspected as much. Because we hear Claudius admit his guilt (just before the "To Be or Not to Be" speech and in Claudius's "O my offence is rank" soliloquy) we know that the ghost is telling the truth. Otherwise, it might be plausible to believe that Claudius is innocent, as everyone including Gertrude seems to believe.
King Hamlet, in Shakespeare's play, was poisoned by his brother Claudius.
Hamlet asks Horatio to observe Claudius.
No, Claudius is Danish and the Ptolemies are Egyptian. There is nobody called Ptolemy in the play Hamlet.
Hamlet finds Claudius praying for forgiveness after the play. He decides that if he were to kill Claudius at that moment, Claudius would go to heaven rather than to hell. Hamlet decides to wait until he finds Claudius sinning, in order to kill him.
The Murder of Gonzago. Hamlet nicknames it The Mousetrap.
The ghost tells Hamlet the secret of his father's death. Hamlet's father was not killed by a serpent, but was murdered with poison. He also told hamlet that it was his uncle who murdered his father, and that he also seduced Gertrude, his mother. The ghost then tells Hamlet to avenge his father's death but to leave his mother alone.