A line.
line
Parabola - apex
They are parallel lines
parabola
A parabola.
line
parabola
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.
Parabola - apex
They are parallel lines
parabola
A parabola.
Parallel lines could fit the given criterior
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.
Math
If your asking "What is ...?" Then, the answer is a circle. This is the definition of a circle!