Question

Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?

Answer 1

Answer:

• The two-dimensional set of points that has no beginning or end is described by the undefined geometric term plane.

Explanation:

There are three undefined terms in geometry:

• point,
• line, and
• plane

They are referred as undefined terms because they are not defined in a formal way, i.e. using mathematically defined words. At the end these terms are abstractions (ideas).

The point has no dimensions, it can be represented by the tip of a sharp pencil.

The line is referred as an infinite set of joined points that extend indefinitely in one direction (from right to left, from north to south), so it has one dimension. The intersection of of two perpendicular walls is an example of what a line is.

Finally, the term to which the question is referred is the plane: an infinite set of joined points that extends in two dimensions. An example of plane is the surface of quite water. The plane does not have depth, only extension; that is why it has only two dimensions.

So, you should remember: points do not have dimensions, lines have one dimension, and planes have two dimensions.