Direct Quotation: This is the most common and literal term for repeating someone's exact words. You use quotation marks to indicate the direct quote.
Paraphrasing: This involves rewording someone else's ideas in your own words while still conveying the same meaning.
Echoing: This is a more informal term that suggests a close imitation of someone's words, often to emphasize agreement or mockery.
Repetition: This is a broader term that simply refers to the act of saying or writing something again, regardless of the source.
Plagiarism: This is a serious academic offense that occurs when you present someone else's work as your own without proper attribution.
Imitation: This is a more general term that suggests mimicking someone's style or manner of speaking, not just their exact words.
Reiteration: This is similar to repetition, but it often suggests a deliberate attempt to emphasize or clarify a point.
The specific term you choose will depend on the specific situation and your intention.