Bridle and braid share the same root — both come from the rapid pulling motion of Proto-Germanic *bregdaną, linking horse control to textile craft.
The headgear used to control a horse, consisting of straps, bit, and reins. Also a verb meaning to restrain or show resentment by pulling back one's head.
From Old English brīdel (bridle, rein, curb), from Proto-Germanic *brigdilaz, related to *bregdaną (to pull, move quickly, braid), reflecting the pulling action of the reins Key roots: *brigdilaz (Proto-Germanic: "bridle, restraining device"), *bregdaną (Proto-Germanic: "to pull, move quickly, weave").