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
parabola
The bisector of that angle.
Parabola - apex
They are parallel lines
Parallel lines could fit the given criterior
parabola