Final answer:
The celiac trunk gives rise to three primary branches: the left gastric artery, the splenic artery, and the common hepatic artery. The correct answer to the student's question, naming the tributaries it gives off, is d) Common Hepatic and Left Gastric arteries, including the splenic artery as another key branch.
Step-by-step explanation:
The celiac trunk is a major artery that arises from the abdominal aorta and trifurcates to give off three primary branches: the left gastric artery, the splenic artery, and the common hepatic artery. The left gastric artery serves to supply blood to the stomach and esophagus. The splenic artery provides blood to the spleen. The common hepatic artery further divides to form the hepatic artery proper for the liver, the right gastric artery to the stomach, and the cystic artery to the gall bladder.
Thus, the correct answer to the question 'Name the Tributaries the celiac trunk gives off' would be d) Common Hepatic and Left Gastric arteries, recognizing that the splenic artery is also a vital branch of the celiac trunk.