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Yes, a theorem can be used to justify the steps of a proof. When proving a statement, established theorems provide accepted truths that can support logical deductions. By referencing these theorems, one can ensure that each step in the proof is valid and grounded in previously proven results, thereby enhancing the credibility of the proof overall.

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6mo ago

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Related Questions

Can a postulate be used to justify the steps of a proof?

no


Which of the following types of statement cannot be used to justify the steps of a proof check all that apply a guess b theorem c conjecture d postulate?

Guess Conjecture


What is a type of statement that can be used to justify the steps of a proof?

conclusion


Can a conjucture be used to justify the steps of a proof?

Yes, of course.


Which types of statements can justify the steps of proof?

Theorems, definitions, corollaries, and postulates


Can a theorem be used to explain the steps of a proof?

Yes, a theorem can be used to provide the key ideas or principles necessary to construct a proof. Theorems serve as the foundation for a mathematical argument and can guide the reasoning and structure of the proof.


What theorem or postulate can be used to justify that the two triangles are congruent?

Pythagorean theorem


What can be used to justify a statement in a geometric proof?

definition,postulate,theorem,& CorollaryDefinition, Theorem, Corollary, and PostulateA.PostulateB.DefinitionD.Algebraic property(answers for apex)a and cpostulate, theorem, and definition


What types of statement cannot be used to justify the steps of proof?

In a proof, statements that are purely opinion-based or subjective, such as personal beliefs or interpretations, cannot be used to justify steps. Additionally, unsupported assertions that lack logical reasoning or empirical evidence, as well as circular reasoning where the conclusion is included in one of the premises, are also invalid. Lastly, statements that are not universally accepted or established laws, such as conjectures that have not been proven, cannot justify proof steps.


Can a postulate be used to explain the steps of a proof?

Yes, a postulate can be used to explain the steps of a proof as it provides foundational assumptions that are accepted without proof. In a proof, postulates serve as starting points or premises from which logical deductions can be made. By referencing postulates, one can justify certain steps in the proof, helping to establish the validity of the overall argument. This creates a structured framework for demonstrating theorems or propositions.


Which statement that cannot be used to justify the steps of a proof?

Since you didn't include the statements in your question there is no way for us to know


which of the following reasons can be used for statement 3 of the proof of the exterior angle theorem?

triangle sum theorem