The phrase "make affidavit" can be switched up with some synonyms that convey the same meaning. For instance, "swear an affidavit" refers to the act of making a written statement under oath that verifies the truth of a particular fact. "Give testimony" also means to make an affidavit, but typically refers to offering evidence in a court case or legal hearing. Other synonyms for "make affidavit" include "depone," "attest," "affirm," "certify," and "vouch for." Whatever synonym is used, the underlying implication is that the individual is giving a legally binding statement that can be used as evidence in a court of law.