Continuity: In one scene when Cooper is choreographing the dance, his shirt is sweat-free. The next time you see him there's a big sweat stain on his shirt.
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Mistakes
At the beginning of the final dance scene during the Swan Lake rehearsal, Jodi is dressed exactly like the other dancers in all white. Right before Cooper pulls her tutu to reveal a dark red leotard beneath it you can see the straps from the 2nd outfit, but not before. See more...
Center Stage mistakes
Continuity: During the scene where Charley, Jody, and Cooper are all practising the pas de trois, one shot shows Charley with a sweaty t-shirt. In the next shot of him his shirt is all nice and clean and so on.
Continuity: When Maureen is with her new boyfriend and is about to go up to her dorm, they are both eating ice-creams. The camera shot is seeing them face on and her ice cream has hardly been eaten at all, then they kiss and you see the side view of them and suddenly her ice cream is almost all gone.
Center Stage trivia
Maureen is said in the movie to be the best dancer at the school. However, you never really see her do anything spectacular. That is because Susan May Pratt is the only non-trained dancer in the movie.