WordWeb Online

1. In the right manner; correctly; suitably
   "please do your job properly!";
   - decently, decent, right
    
2. Indicating exactness or preciseness
   "he was doing properly what she had told him to do"; "Properly speaking, all true work is religion.";
   - precisely, exactly, just
    
3. In accordance with what is appropriate or suitable for the circumstances
   "If you don't behave properly, you'll have to leave!";
   - appropriately, suitably, fittingly, befittingly, fitly, duly, appositely

Antonym: inappropriately