If it appears that the respondent, in his or her answer, falsely and in bad faith, denies a material allegation of fact in the complaint or states that the respondent has insufficient knowledge to form a belief, when the respondent in fact possesses such information, or if it appears that the respondent has knowingly introduced false testimony during proceedings for his or her censure, suspension, disbarment, or disqualification, the Director of Practice may file supplemental charges against the respondent. The supplemental charges may be heard with other charges in the case, provided the respondent is given due notice of the charges and is afforded an opportunity to prepare a defense to such charges.