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Let L be the set of all lines in the XY-plane and let R = {(L1, L2): L1 is parallel to L2} be a relation on L. What kind of relation is R?

1. Reflexive relation
2. Transitive relation
3. Symmetric relation
4. Equivalence relation

Correct answer: Equivalence relation

Solution

Parallelism is reflexive, symmetric and transitive, so R is an equivalence relation.

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