Resume is a CV. CV is a more european form of a resume, with slight changes in format. CV is a name for resume used in UK mostly. In case of your professor, I am sure he/she refers to regular resume.
@dytmom_3x I'm not sure how it shows leadership.... but maybe management. I'm leaning towards not adding it because owning property isn't really a job, just like owning your own house isn't considered a job nor something you add on a resume.
... lead me to do a internship at a Law Firm which ... immigration lawyer who gave a internship at her law practice. I ... get another job because the internship did not pay and I ...