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No. Postulates are the foundations of geometry. If you said they were wrong then it would be saying that Euclidean geometry is wrong. It is like if you asked how do we know that English is right. It is how the English language works. So no postulates do not need to be proven.
What else can I help you with?
Which type of statement must be proven true in geometry?
Every statement apart from the axioms or postulates.
Why is it necessary to use postulates in geometry?
Postulates are statements that prove a fact. An example would be that 2 points create a line segment. You usually use postulates in proofs.
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
Are postulates accepted as true without proof?
Yes, postulates are "given", as the bases for the construction of the system.
What statements are accepted as true without proof in a logical system?
Axioms, or postulates, are accepted as true or given, and need not be proved.
Do Postulates need to proven?
No. Postulates are the foundations of geometry. If you said they were wrong then it would be saying that Euclidean geometry is wrong. It is like if you asked how do we know that English is right. It is how the English language works. So no postulates do not need to be proven.
What is a statement or conjecture that can be proven true by undefined terms definitions and postulates?
Theorem
Which type of statement must be proven true in geometry?
Every statement apart from the axioms or postulates.
Postulates need to be proven?
Such statements are called postulates in geometry and axioms in other areas. Definitions are also accepted without proof, but technically they are abbreviations rather than statements.
How do postulates differ from theorems?
Postulates are fundamental assumptions or statements accepted as true without proof, serving as the foundational building blocks for a mathematical system. Theorems, on the other hand, are propositions that have been proven to be true based on postulates and previously established theorems. While postulates provide the groundwork for reasoning, theorems require a logical proof to establish their validity. In essence, postulates are accepted truths, whereas theorems are derived truths.
What is a therome in math?
A therom in math is a law that has been proven by using other theroms or postulates. They are commonly found in Geometry and above.
What is the difference between a postulate and theorem in Geometry?
A postulate is assumed to be true while a theorem is proven to be true. The truth of a theorem will be based on postulates.
Can postulates be used to solve theorems?
No. A postulate need not be true.
Do definitions need to be proven?
False. Definitions do not need to be proven.
Who developed postulates?
Postulates were first used by the Early Greeks.
What are the postulates and theorems?
Postulates are statements that are assumed to be true without proof. Theorums are statements that can be deduced and proved from definitions, postulates, and previously proved theorums.
What are kock's postulates?
They are a set of conditions which need to be fullfilled to prove that a specific organism causes a specific disease.
