the definition of parallel lines requires the undefined terms line and plane, while the definition of…

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?

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?

Answer

Brief Explanations:

Parallel lines are in - same plane and never intersect, so plane is needed. Perpendicular lines intersect at a right - angle, defined by a point of intersection, so point is key.

Answer:

Parallel lines need the concept of a plane as they are in the same plane and never meet. Perpendicular lines rely on the concept of a point as they intersect at a specific point to form right - angles.