Relationship between mathematical objects for which the representations – numerical, logical, statistical, etc. – have the same value.


  • The equations 2x + 6x – 12 = 0 and 4x = 6 are equivalent equations because they have the same solution set.
  • A square with 10 cm sides and a rectangle that is 20 cm by 5 cm are equivalent quadrilaterals, because they have the same area.
  • The propositions “P: All humans are mortal” and “Q: All multiples of 2 are even” are logically equivalent propositions because they are both true.

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