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Which type of statement must be proven true in geometry?
Every statement apart from the axioms or postulates.
Which types of statements can justify the steps of proof?
Theorems, definitions, corollaries, and 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.
Are postulates accepted as true without proof?
Yes, postulates are "given", as the bases for the construction of the system.
Do postulates need to be 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 accepted as true in geometry?
postulates
How would you describe direct proof geometry?
A logical chain of steps, supported by postulates,defentions, and theroems, to prove a statement is true. -ERA -2-
Which type of statement must be proven true in geometry?
Every statement apart from the axioms or postulates.
What is a statement or conjecture that can be proven true by undefined terms definitions and postulates?
Theorem
What is the difference between proof and postulate?
A proof uses postulates and theorems to prove some statement.
What would best describe how postulates differ from theorems?
Postulates are accepted as true without proof, and theorems have been proved true. Kudos on the correct spelling/punctuation/grammar, by the way.
What term is used to describe an if-then statement?
hypothesis is an if, then statement
Which types of statements can justify the steps of proof?
Theorems, definitions, corollaries, and postulates
Who developed postulates?
Postulates were first used by the Early Greeks.
What is the difference between a conjecture postulate theorem and corollary?
Conjecture: a statement which may or may not be true.Postulate: a statement that is believed to be true, but may not be.Theorem: a statement that has been proved to be true provided some postulates are true.Corollary: a statement whose truth follows from the truth of a theorem, but one which is not important enough to call it a theorem.
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 terms is used to describe an if-then statement?
conditional
