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What do you call a statement in geometry that requires proof?
Theorems are statements in geometry that require proof.
What is the difference between proof and postulate?
A proof uses postulates and theorems to prove some statement.
True or false a theorem is a statement that can be easily proved using colloary?
False. A theorem is a statement that has been proven based on previously established statements, such as axioms and other theorems. A corollary, on the other hand, is a statement that follows readily from a theorem and requires less effort to prove. Thus, theorems are generally more complex and foundational than corollaries.
Can a theorem justify a statement in a geometric proof?
Yes. That is what theorems are for. Once proven, their results do not need to be justified again (except for exams).
Is every statement a theorem why?
There are many kinds of statement that are not theorems: A statement can be an axiom, that is, something that is assumed to be true without proof. It is usually self-evident, but like Euclid's parallel postulate, need not be. A statement need not be true in all circumstances - for example, A*B = B*A (commutativity) is not necessarily true for matrix multiplication. A statement can be false. A statement can be self-contradictory for example, "This statement is false".
What is a statement that can be proved by a chain of reasoning?
A theorem is a statement that has been proven by other theorems or axioms.
In a geometric proof what can be used to explain a statement?
Axioms and logic (and previously proved theorems).
What do you call a statement in geometry that requires proof?
Theorems are statements in geometry that require proof.
What is the difference between proof and postulate?
A proof uses postulates and theorems to prove some statement.
True or false a theorem is a statement that can be easily proved using colloary?
False. A theorem is a statement that has been proven based on previously established statements, such as axioms and other theorems. A corollary, on the other hand, is a statement that follows readily from a theorem and requires less effort to prove. Thus, theorems are generally more complex and foundational than corollaries.
What term applies to the statement the choice to do something is the choice not to do something else?
Opportunity cost applies to the statement the choice to do something is the choice not to do something else.
Which statement applies to modern commodity markets?
they are global
What are some words that mean the opposite of theory?
A theorem is an unproven statement; a proven statement is a fact. A theory is a set of theorems; a theory which has been proven can be called a law or a rule.
Can a theorem justify a statement in a geometric proof?
Yes. That is what theorems are for. Once proven, their results do not need to be justified again (except for exams).
What statement applies to the horizontal rows or periods in the periodic table.?
The statement applies to the horizontal rows or periods in the Periodic Table is that properties change going across each row.
What statement applies to the horizontal rows or periods in the periodic table?
The statement applies to the horizontal rows or periods in the periodic table is that properties change going across each row.
A statement that applies to the whole as opposed to the individual is called an?
generalization
