right·ly 
/ˈraɪtli/ adverb
/ˈraɪtli/ adverb 1 : in a way that is correct : correctly
▪ If I remember rightly, today is his birthday. ▪ She rightly anticipated a decline in the value of the stock. ▪ He points out, quite rightly, that there are flaws in the theory. ▪ Many people, rightly or wrongly, believe the economy will soon improve. 2 : for a good reason : in a way that is proper or appropriate
▪ She rightly admires his paintings. ▪ People are rightly upset about the city's rising crime rate. ▪ Quite rightly, the police commissioner is being blamed for the city's rising crime rate. ▪ She is proud of her children, and rightly so. 3 informal : with certainty : for sure — usually used in negative statements ▪ I don't rightly know where she went. [=I don't know where she went; I'm not sure where she went] ▪ I can't rightly say what happened.
▪ If I remember rightly, today is his birthday. ▪ She rightly anticipated a decline in the value of the stock. ▪ He points out, quite rightly, that there are flaws in the theory. ▪ Many people, rightly or wrongly, believe the economy will soon improve.
▪ She rightly admires his paintings. ▪ People are rightly upset about the city's rising crime rate. ▪ Quite rightly, the police commissioner is being blamed for the city's rising crime rate. ▪ She is proud of her children, and rightly so.
