Concept explainers
To explain is parallelism of lines an equivalence relation.
Answer to Problem 22WE
Parallelism is an equivalence relation.
Explanation of Solution
Given information: Parallelism of lines an equivalence relation.
Calculation: The required solutions is obtained as,
In exercise 21 all the three statements are TRUE.
Parallelism satisfies Reflexive property, Symmetric property and Transitive Property.
Hence, Parallelism is an equivalence relation.
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