no
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.
Yes, of course.
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.
Since you didn't include the statements in your question there is no way for us to know
Steps in a geometric proof do not require support
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.
Guess Conjecture
conclusion
Yes, of course.
Theorems, definitions, corollaries, and postulates
Conjecture and Guess.
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.
Pythagorean theorem
Since you didn't include the statements in your question there is no way for us to know
Postulate, Corollary, Definition, & Theorem
definition,postulate,theorem,& CorollaryDefinition, Theorem, Corollary, and PostulateA.PostulateB.DefinitionD.Algebraic property(answers for apex)a and cpostulate, theorem, and definition
A statement accepted without proof is commonly known as a theorem. The other word that is used for such statements is postulate.