If a shop is kitty-corner from the school, it sits on the opposite corner of the crossing — diagonally across, not next door and not straight across the street. You can use it as an adjective (the kitty-corner building) or as an adverb (it is kitty-corner from the bank). This is mainly American and informal; British English would say diagonally opposite. You will also hear catty-corner and, in older speech, cater-corner — same idea. Though actually, despite kitty in the name, the word does not come from cats. It grew out of cater-corner (from an old word for “four”), and people reshaped it because kitty and cat were easier to hear. So it looks like a cat word, but it is a place word.