How do I know if I'm a US citizen?

My father became a U.S. Citizen on 2/10/1997. At that time I was 16 yrs old. On 8/16/1997 I got arrested and went to Juvenile Hall. I was placed on probation. My question is I'm I already a US citizen because my father became one when I was a minor?? Or I can't because I was incarcerated? Please help.