Question

Which pair of undefined terms is used to define the term parallel lines?

point and line
plane and line
point and ray
ray and line

Answer 1

The undefined terms used to define the term parallel lines are 'point' and 'line'. These basic concepts are foundational in geometry, where points have no size and lines extend infinitely in both directions, and parallel lines never intersect.

Step-by-step explanation:

The pair of undefined terms used to define the term parallel lines is point and line. In geometry, an undefined term is a concept that is assumed as a foundation without a formal definition. Points represent location and have no size, whereas a line is understood to be a straight one-dimensional figure that has no thickness and extends infinitely in both directions. Parallel lines are defined as lines in a plane that do not intersect; they are always the same distance apart and are in the same plane.

A ray is a part of a line that starts at a point and extends infinitely in one direction. While the notion of rays is closely related to lines, rays are not used in the definition of parallel lines. The concept of parallelism is inherent to lines that extend infinitely in both directions.

To clarify, when vectors are described as parallel vectors, they are said to have exactly the same direction angles, much like parallel lines. Although vectors can behave like directed line segments, the term parallel lines specifically applies to the geometric concept of lines.

Answer 2

The correct answer for this is : A. Point and Line

Step-by-step explanation:

The lines are said to be parallel to each other if they do not intersect each other at any point. So, for any number of lines to be parallel we must have lines and no intersection points between them then only we can say the given number of lines are parallel to each other

So, the terms which are used to explain the term parallel lines here are : line and the point.

And the both terms point and a line are undefined in the geometry.

Hence, the correct answer for this is : A. Point and Line