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A theorem is a mathematical statement or proposition that has been proven to be true based on previously established axioms, definitions, and logical reasoning. It serves as a foundational element in mathematics, providing a framework for further exploration and discovery. Theorems are often accompanied by proofs that demonstrate their validity.

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1w ago

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Related Questions

What best describes the meaning of the term theorem?

That which is considered and established as a principle; hence, sometimes, a rule., A statement of a principle to be demonstrated., To formulate into a theorem.


What describes the meaning of the term theorem?

That which is considered and established as a principle; hence, sometimes, a rule., A statement of a principle to be demonstrated., To formulate into a theorem.


Is a theorem proved using a geometric proof?

There is no single statement that describes a geometric proof.


Is a theorem a statement that describes a fundemental relationship between the basic terms of geometry?

no, its a postulate


What type of triangle is the pythagorean theorem?

The Pythagorean Theorem is not a triangle. It's a statement that describes a relationship among the lengths of the sides in any right triangle.


What describes the meaning of theorem?

That which is considered and established as a principle; hence, sometimes, a rule., A statement of a principle to be demonstrated., To formulate into a theorem.


What best describes theorem?

They are propositions that have been proved to be true.


What term best describes a mathematical statement?

A conditional statement


What term best describes a mathematical statement of if a then b?

A conditional statement.


A statement that is proved by deductive logic is called a?

A theorem is a statement that is proved by deductive logic.


What type of statement must be PROVEN in geometry?

That is a theorem.A theorem.


Can a theorem have a counterexample?

No, a theorem cannot have a counterexample, as a theorem is a statement that has been proven to be true under a specific set of conditions. A counterexample, on the other hand, demonstrates that a statement or conjecture is false by providing an instance where the statement does not hold. If a counterexample exists, the statement is not a theorem.