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6 Cards in this Set

  • Front
  • Back
Axiom

An Axiom is a statement that is normally assumed to be true and is used as a basis for developing a system.


Example


Axiom 1 There is exactly one line through any two given points.

Converse

The converse of a theorem is formed by taking the conclusion as the starting point and having the starting point as the conclusion.


Example


The converse of Theorem 2 states 'If two angles are equal, then the triangle is isosceles'.

Corollary
A corollary follows after a theorem and is a proposition which must be true because of that theorem.
Implies
Implies indicates a logical relationship between two statements, such that if the first is true then the second must be true.
Proof
A proof is a sequence of statements (made up of axioms, assumption and arguments) leading to the establishment of the truth of one final statement.
Theorem
A theorem is a statement which has been proved to be true.