A hyperbola.
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A line (which by definition goes on to infinity in both directions).
It's a plane.
Congruent line segments
This is another definition of a line. It has only one dimension: infinite length.
It is a plane that extends indefinitely in all directions. It is very easy to remember just think about what flys in the air and needs to land on a "flat surface that extends indefinitely in all directions" (the ground).