In Act III, of "The Tragedy of Hamlet", by William Shakespeare, the two similar actions taken by Hamlet and Claudius are A. plotting against the other. In the first two scenes of Act III, both Hamlet and Claudius try to catch each other's secret. Hamlet by performing on the stage the murder of a king to catch Claudius's guilty attitudes. Claudius spies on Hamlet to discover the true nature of his madness.