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What statement has the form if a then B then this means if a is true b is always true?
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Is this statement true or falseCongruent triangles are always similar?
true
Is the converse of a biconditional statement always true?
Yes
Are contrapositives true?
Yes, contrapositives are always true, as long as the original statement stood true.
Is this statement true or falseThe circumcenter of a right triangle always lies on the hypotenuse?
true
The converse and inverse of a conditional statement are logically equivalent?
This is not always true.
What is a true statement that combines a true conditional statement and its true converse?
always true
What is a true statement that combines a true conditional statement and is its true converse?
always true
How do you form the inverse of a statement?
To form the inverse of a statement, you negate both the subject and the predicate of the original statement. This means that if the original statement is true, the inverse is false, and vice versa.
Is the converse of a true if-then statement always true?
No.
Is this statement true or falseCongruent triangles are always similar?
true
What statement about Gravity is always true?
One statement about gravity that is always true is that it is a force of attraction between objects with mass.
What kind of statement has the form of 'if A then B' which means if a is true then b must be true?
An example of a conditional statement is: If I throw this ball into the air, it will come down.In "if A then B", A is the antecedent, and B is the consequent.
Is the inverse of a conditional statement is always true?
No.
Is the converse of a true conditional statement always false?
No. Consider the statement "If I'm alive, then I'm not dead." That statement is true. The converse is "If I'm not dead, then I'm alive.", which is also true.
What is proof by Converse?
Proof by Converse is a logical fallacy where one asserts that if the converse of a statement is true, then the original statement must also be true. However, this is not always the case as the converse of a statement may not always hold true even if the original statement is true. It is important to avoid this error in logical reasoning.
What is tautology in boolean algebra?
a tautology is a statement that is always true. For example p or not p is always true because one of the two is always true.
What of a statement P would be written in the form not P?
The statement "not P" is the negation of statement P. It means the opposite of P is true. For example, if P is "The sky is blue," then not P would be "The sky is not blue."
