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dybincka
1 month ago
3

The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requir

es the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?
Mathematics
2 answers:
lawyer [12.5K]1 month ago
3 0

Answer:

Parallel lines necessitate the terms line and plane, as lines and planes that are parallel will never intersect, resulting in no points of crossover. The defining traits of parallel lines include lines and planes. On the other hand, perpendicular lines involve the concepts of line and point because the intersection of two lines creates a point, and the intersection of two planes generates a line. The distinguishing features of perpendicular lines consist of points and lines.

Leona [12.6K]1 month ago
3 0

Parallel lines do not meet, yet they must reside within the same plane. The definition does not require the unspecified term point, but it does necessitate the term plane. Since perpendicular lines intersect, they must share a plane; thus, plane is irrelevant in their definition.

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Step-by-step explanation:

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