First, let's define an equivalence relation. An equivalence relation R is a collection of elements with a binary relation that satisfies this property:
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The reflexive property of equality says that anything is equal to itself. In symbols, A = A. Equality also has the symmetric property, "If A = B, then B = A", and the transitive property, "If A = B and B = C, then A = C". the previous statement is correct, however their is a proof that this theory is incorrect. I will not say it because then you will just tell your math teachers that it is your idea. Bill Door- However, that "proof" is an invalid one because it relies upon dividing by zero, which is nonsense.
reflexive property of congruence
how can the reflexive property be applied to check the accuracy of a solution to equation?
Transitive Property of Similarity
The reflexive property of mathematics states that a=a, or that any number is always equaled to itself.Examples:1 = 15 = 5-10² = -10²