Mr. and Mrs. Arcangelo J. Petricca of Lackawanna announce the engagement of their daughter, Catherine Ann Petricca, to Dr. Robert J. Reszel II, son of Dr. and Mrs. Robert J. Reszel of North Tonawanda. Miss Petricca is a graduate of Nardin Academy, Fordham University and University at Buffalo School of Law. She is an attorney in practice with her father. Her fiance was graduated from Nichols School, Hartwick College and UB School of Dental Medicine. He will be a resident in Erie County Medical Center. The wedding is planned for Sept. 1.