In chapter ix describe Nick and Tom's final meeting. What events represent the rising action, climax, and falling action?

When Nick and Tom had their final encounter, Nick finally realized how childish Tom's ways where, and in return almost acted childish himself (by not shaking hands with him).

Are you asking about the plot structure for this scene or the entire novel? here it is for this scene:

Rising action: Nick "objecting" to shake hands with Tom, and accusing him of killing Gatsby

climax: Tom admitting that he had told George Wilson to kill Gatsby

Falling action: Tom talking about his grief over Myrtle, and Nick finally agreeing to shake hands