The U.S. Supreme Court case that set the precedent for the definition of "reasonable" suspicion was:

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In Terry v. Ohio, the Supreme Court ruled that police officers may conduct a "stop and frisk" search if they have reasonable suspicion that the person is involved in criminal activity and poses a threat to the officer's safety or the safety of others. This case established the legal standard for what constitutes "reasonable" suspicion and has been widely cited in subsequent cases.

The US Supreme Court Case That Set the Precedent for the the Definition