The definition of parallel lines requires the undefined terms line and plane while the definition of perpendicular lines requires the undefined terms of line and point what characteristics of these geometric figures create the different requirements

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

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keshavgandhi04 keshavgandhi04 · Answer 2 · 2022-08-23T07:10:44+02:00

The perpendicular line does not require an undefined point but it has a plan while perpendicular lines are coplanar and have an undefined point.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines.

Parallel lines are those lines in which slopes are the same and the distance between them remains constant.

Two lines are said to be parallel if the distance between them remains constant while perpendicular lines are the lines that intersect at a point.

Parallel lines can be in a different plane of geometry but there will be a plane in which both lines will lie.

Perpendicular lines must be in a plane otherwise they will not going to intersect.

Hence "The perpendicular line does not require an undefined point but it has a plan while intersecting lines are coplanar and have an undefined point".

To learn more about parallel lines;

https://brainly.com/question/16701300

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