A circle is the set of all points in a plane at a given distance FROM a given point, which is known as the circle's center.
parabola
False, other geometric objects exist which can be defined as a parrticular locus of points, such as the parabola and the hyperbola.
Points are the only such objects.
Strictly speaking, the only geometric item that has neither length nor width is a "point", but as such, it is not considered a "figure". A geometric figure is defined as a "set of points". I suppose a point could be thought of as a set containing only one element, but that rather contradicts the intention of the definition where it refers to points in the plural.As Euclid defined it: A figure is that which is contained by any boundary or boundaries.
Yes, because the distance is a metric which is defined in that way.
Circle
circle
The metric of a geometric space is defined as the distance between two points.
imagine it ... a circle
The universe.
line
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.
parabola
Parabola - apex
They are parallel lines
The bisector of that angle.
Parallel lines could fit the given criterior