which undefined term can contain parallel lines?
Which undefined term can contain parallel lines?
Answer: In geometry, there are several undefined terms that form the foundation of the subject. These terms include points, lines, and planes. Among these, the term that can contain parallel lines is a plane.
1. Points:
- A point is an exact location in space with no dimensions (length, width, or height). It is often represented by a dot and labeled with a capital letter. Points do not contain lines or any other geometric figures; they simply denote a position.
2. Lines:
- A line is a straight one-dimensional figure that extends infinitely in both directions. It has no thickness and is defined by any two points on it. While lines can be parallel to each other, a single line cannot contain parallel lines within itself.
3. Planes:
- A plane is a flat, two-dimensional surface that extends infinitely in all directions. A plane can contain an infinite number of lines, and it is within a plane that parallel lines can exist. Parallel lines are defined as lines in the same plane that do not intersect, no matter how far they are extended.
Therefore, the correct answer to the question is that a plane is the undefined term that can contain parallel lines. In summary, while points and lines are fundamental geometric concepts, it is the plane that provides the necessary two-dimensional space for parallel lines to exist.