alleryPerpendicularity of lines is not reflexive because a line:
ACannot be parallel to any line
BCannot be equal to another line
CCannot be related to itself
DCannot be perpendicular to itself
Answer & Solution
Correct answer: D. Cannot be perpendicular to itself
1. Reflexive would need every line to be related to itself.
2. A line cannot stand at a right angle to itself.
3. So the perpendicularity relation fails to be reflexive.
_Source: syllabus Mathematics Part I, Chapter 1, Relations and Functions._
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