Final answer:
The Pringle maneuver compresses the portal vein and hepatic artery to control bleeding from the liver during surgery.
Step-by-step explanation:
The Pringle maneuver is a surgical technique used to control bleeding from the liver. It involves clamping the hepatoduodenal ligament to compress the hepatic artery and hepatic portal vein, but not the hepatic veins, which drain blood from the liver into the inferior vena cava. Therefore, the structures compressed during the Pringle maneuver are the portal vein and hepatic artery (C). This maneuver temporarily stops the inflow of blood to the liver, reducing bleeding and allowing the surgeon to work on repairing the liver injury.