Final answer:
The ligamentum teres of the femur connects the fovea capitis of the femur to the acetabulum of the hip bone, and contains a crucial artery for blood supply; it is not primarily a supportive ligament but it's significant for vascularization.
Step-by-step explanation:
The ligament of the head of the femur, also known as the ligamentum teres, is a specialized structure within the hip joint. It specifically connects the fovea capitis on the medial side of the femoral head to the acetabulum of the hip bone. The ligamentum teres does not provide significant structural support to the joint but contains an important artery that supplies blood to the head of the femur.
Dissecting the femur at the level of the hip and transecting the ligamentum teres tendon would sever its attachment to the acetabulum, not the tibial plateau. The ligamentum teres thus plays a role in the vascular supply of the femur's head rather than being a major stabilizing ligament such as the iliofemoral, ischiofemoral, or pubofemoral ligaments which provide stability to the hip joint by securing the femur to the hip bone at the acetabulum.