The phrase "cater cornered" refers to two diagonally opposite corners. Therefore, antonyms for "cater cornered" may include "adjacent," "parallel," "aligned," "opposite," "convergent," or "coinciding." Using these antonyms, we can describe the direction of something more precisely. For example, instead of saying the book is on the cater cornered of the desk, we could say it is parallel to the edge of the desk or aligned with the edge of the desk. These antonyms allow us to communicate more accurately and avoid any confusion that may arise from the vague term "cater cornered.