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Is The converse of a biconditional statement is always true?
No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.
which is a biconditional statement combining the following conditional statement and its converseConditional: If two figures are congruent, they have the same shape and size.Converse: If two figures have the same shape and size, they are congruent.?
Two figures are congruent if and only if they have the same shape and size.
Explain whether the following statement is a valid definition A 150 angle is an obtuse angle Use the converse biconditional and at least one Euler diagram to support your answer?
No, it is not a definition: it is an imperative statement requiring you to do something!
How many true conditional statements may be written using the following statements n is a rational number n is a integer n is a whole number?
Given that an integer is the same as a whole number, there are four true conditional statements.
Explain whether the following statement is a valid definition A 150 degree angle is an obtuse angle Use the converse biconditional and at least one Euler diagram to support your answer?
A 150 degree angle is an obtuse angle because it is greater than 90 but less than 180 degrees
Is The converse of a biconditional statement is always true?
No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.
which is a biconditional statement combining the following conditional statement and its converseConditional: If two figures are congruent, they have the same shape and size.Converse: If two figures have the same shape and size, they are congruent.?
Two figures are congruent if and only if they have the same shape and size.
What of the following is a true biconditional statement?
the product of two integers is odd if and only if the two factors are odd
The part of a conditional statement following the word then?
The part of a conditional statement that follows the word 'then' is the conclusion.
Which of the words in the following sentence is a coordinating conjunction?
The coordinating conjunction in the sentence is "and."
The part of a conditional statement following the word if?
hypothesis
how can the following definition be written correctly as a biconditional statementAn odd integer is an integer that is not divisible by two.?
An integer is odd if and only if it is not divisible by two.
How do you spell afther?
The adverb or conjunction is spelled after(following).
What is the noun called that follows a conjunction?
The noun following a conjunction is typically referred to as the subject or object of the clause, depending on its function within the sentence.
how can the following definition be written correctly as a biconditional statementA multiple of 7 is a number that can be divided by 7 with no remainder.?
A number is a multiple of 7 if and only if it can be divided by 7 with no remainder.
which figure is a counterexample to the following conditional statementIf a triangle has an angle that measures 60°, then it is equilateral.?
A+
Which of the words in the following sentence is a coordinating conjunction Plan ahead for you never know what problems will arise.?
The coordinating conjunction in the sentence is "for."
