Yes
yes
If lines lie in two planes, then the lines are coplanar.
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.
What is negation of biconditional statement?
A biconditional is a statement wherein the truth of each item depends on the truth of the other.
It is the biconditional.
a condtional statement may be true or false but only in one direction a biconditional statement is true in both directions
Yes
yes
A biconditional is a statement wherein the truth of each item depends on the truth of the other.
If lines lie in two planes, then the lines are coplanar.
The conjunction of a conditional statement and its converse is known as a biconditional statement. It states that the original statement and its converse are both true.
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.
the statement IFF means "if and only if"