All paths that have a displacement of zero are similar in the sense that they begin and end at the same location. This means that although the path taken by an object may be different, the final position of the object will be the same.
For example, imagine a person starting at point A and walking in a straight line to point B, and then returning to point A by walking along a different path. Although the two paths taken by the person are different, the final position of the person is the same as the starting position, and the displacement is zero.
In physics, displacement is a vector quantity that refers to the change in the position of an object. When the displacement is zero, it means that the object has not moved from its original position. This can occur when an object moves in a closed path, such as a circle, or when it moves back and forth along the same path.
In summary, all paths that have a displacement of zero are similar because they begin and end at the same location, even if the path taken by the object is different.