Assignment:

Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?

A. point
B. line
C. plane
D. distance



Answer :

Final answer:

A line is the one-dimensional set of points with no beginning or end, crucial in geometry.


Explanation:

A line is the undefined geometric term that can be described as a one-dimensional set of points that has no beginning or end. In Euclidean geometry, a line extends infinitely in both directions and is composed of an infinite number of points.

Euclid's Elements defines a line as a continuous quantity with no endpoints, making it a fundamental concept in geometry. It is a 1-dimensional manifold and is homeomorphic to other lines with similar properties.

Lines play a crucial role in geometry, serving as the foundation for understanding distance, intersection points, and shapes in two or three dimensions.


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