The term 'controlled with straps' can be summarized by the word 'reined', which is a 6-letter word. Reining is a type of horse riding discipline where the horse is controlled with straps, such as reins, to perform certain maneuvers. The rider uses the reins to direct the horse's movements, and the horse must respond to the rider's commands. Reining is a popular sport in the United States and is often seen at rodeos and other equestrian events.