Final answer:
Alpha Tau Omega was founded at Virginia Military Institute, while Sigma Chi, although founded at Miami University, has historical ties to VMI through one of its founders.
Step-by-step explanation:
Alpha Tau Omega and Sigma Chi were both founded at Virginia Military Institute (VMI). Alpha Tau Omega was established at VMI on September 11, 1865, shortly after the end of the American Civil War. Sigma Chi, on the other hand, was founded earlier, on June 28, 1855, at Miami University in Oxford, Ohio, but it has historical ties to Virginia through one of its seven founders, who attended VMI before transferring to Miami University.