Answer: rivalries

AnswerCrossword Clue
RIVALRIESSiblings may engage in them
RIVALRIESContests.
RIVALRIESWhat schools in the same district have, often
RIVALRIESThey may be between schools
RIVALRIESConference teams often have them
rivalriesthe action, position, or relation of a rival or rivals; competition
rivalriesinstance of this
rivalriesRIVALRY, competition, also RIVALITY