Line segment.
line segment
2D line.
The universe.
line
Points are the only such objects.
The metric of a geometric space is defined as the distance between two points.
parabola
Circle
line segment
Parallel lines could fit the given criterior
The geometric object defined as the set of all points in a plane that are equidistant from two points is called the perpendicular bisector. This line is perpendicular to the segment joining the two points and bisects it, meaning it divides the segment into two equal parts. Any point on this line has the same distance to both of the original points.
circle