Parallel lines could fit the given criterior
Bisector of an angle, is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.
Math
The center of the circle. That's how the circle is defined. (The collection of all points on a plane equidistant from a fixed point. The fixed point is the center and the fixed distance is the radius.)
The surface of a sphere is defined in that manner.
It is a parabola.
line
parabola
Parabola - apex
The bisector of that angle.
They are parallel lines
parabola
Parallel lines could fit the given criterior
Bisector of an angle, is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.
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.
A line.
A parabola.
The universe.