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when the biconditional statement is separated into a conditional and its converse which of these cannot be the converse Biconditional: Lines r coplanar if and only if they lie in the same plane.?
If lines lie in two planes, then the lines are coplanar.
What is biconditional statement?
A bi-conditional statement is one which says that if any one of two statements is true, the other is true, too. It generally takes the form, X is true if and only if Y is true, or X is equivalent to Y, where X and Y are simpler statements.
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 kind of conditional statemenr is this If a number is negative then it is less than zero If a number is less than zero then it is a negative number?
There are two statements and it is not clear which one you are referring to.
