Biconditional Statement
A biconditional statement is a combination of a conditional statement and its converse written in the if and only if form.
Two line segments are congruent if and only if they are of equal length.
It is a combination of two conditional statements, “if two line segments are congruent then they are of equal length” and “if two line segments are of equal length then they are congruent”.
A biconditional is true if and only if both the conditionals are true.
Bi-conditionals are represented by the symbol or .
means that and . That is, .
Example:
Write the two conditional statements associated with the bi-conditional statement below.
A rectangle is a square if and only if the adjacent sides are congruent.
The associated conditional statements are:
a) If the adjacent sides of a rectangle are congruent then it is a square.
b) If a rectangle is a square then the adjacent sides are congruent.
