Final answer:
The ligaments that resist posterior tilt of the pelvis on the femur during extension are the tibial collateral ligament and the fibular collateral ligament.
Step-by-step explanation:
The ligaments that resist posterior tilt of the pelvis on the femur during extension include the tibial collateral ligament and the fibular collateral ligament. These ligaments are located on the medial and lateral sides of the knee joint, respectively, and serve to prevent hyperextension and rotation of the extended knee.