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A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are called lemmas.
Example: It is Pythagoras' theorem that states the hypotenuse of any right angle triangle when squared is equal to the sum of its squared sides.
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Which of these is the definition of a corollary?
a theorem that follows directly from another theorem or postulate, with little of no proof
What is the definition of a Converse theorem?
the opposite of the original concept your learning.
What is the definition of theorem?
Theorems are important statements that are proved.
Can a theorem cannot have counterexamples?
A theorem, by definition, is a statement that has been proven to be true based on previously established axioms and theorems. Therefore, a theorem cannot have counterexamples, as counterexamples would indicate that the statement is false. If a purported theorem does have a counterexample, it is not a true theorem. Thus, a valid theorem is universally applicable within its defined conditions.
What is the definition of congruent angles theorem?
If the angles are congruent, they will be less than 360 degrees.
What is the definition of theorem in geometry?
theorem
What can be use 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
Which of these is the definition of a corollary?
a theorem that follows directly from another theorem or postulate, with little of no proof
Definition of kleene's theorem plus example?
kleene's theorem state that those who defined fa
Is not part of the tringle proportionality theorem?
The definition of a circle is not part of the triangle (or tringle, even) proportionality theorem.
What is the definition of a Converse theorem?
the opposite of the original concept your learning.
Whats a statement that can be proved easily using a theorem or a definition?
false
What is the definition of theorem?
Theorems are important statements that are proved.
What is difference between midpoint theorem and definition of midpoint?
Definition of midpoint: a point, line, or plane that bisects a line so that AB=BC Midpoint theorem: a point, or plane that bisects a line so that line AB is congruent to line BC. A-----------------------------------------------B----------------------------------------------------C The definition of midpoint refers to equality, while midpoint theorem refers to congruency.
What is the definition of a square corollary?
A quadrilateral is a square if and only if it is a rhombus and a rectangle.
What the definition of contrapositive?
A proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them.
Can a theorem cannot have counterexamples?
A theorem, by definition, is a statement that has been proven to be true based on previously established axioms and theorems. Therefore, a theorem cannot have counterexamples, as counterexamples would indicate that the statement is false. If a purported theorem does have a counterexample, it is not a true theorem. Thus, a valid theorem is universally applicable within its defined conditions.
