Final answer:
The most common site of injury to the ureter during a hysterectomy is the lower third.
Step-by-step explanation:
The most common site of injury to the ureter during a hysterectomy is the lower third. The ureter is a tube that connects the kidneys to the bladder, and injury can occur when it is accidentally cut, stretched, or obstructed during the surgical procedure. In open or laparoscopic hysterectomies, the risk of ureteral injury is higher due to the proximity of the ureter to the uterus and other reproductive organs.