Do I need to check a rented tuxedo for shatnez?

Rabbi Baruch S. Davidson serves as shliach and rabbi of the Shul Community at Chabad of the Main Line and is the writer of Lightpoints, a collection of insights on the Torah, adapted from the works of the Rebbe. Together with his wife and children, he lives in Lower Merion, in the Philadelphia suburbs.

All names of persons and locations or other identifying features referenced in these questions have been omitted or changed to preserve the anonymity of the questioners.