Off-center liners can be used with an acetabular cup in hip replacement or revision surgical procedures. The liners (of metal or plastic) can be laterally spaced from the acetabular cup, angled relative to the acetabular cup and/or have an opening that is offset relative to the axis of the acetabular cup. The liners have an orientation indicator that identifies where the liner should be impacted (e.g., impaction location or point) by the impactor to ensure the liner is impacted in a square manner relative to the acetabular cup.