What's a Biconditional Statement?

A biconditional statement is a statement combing a conditional statement with its converse. So, one conditional is true if and only if the other is true as well. It often uses the words, "if and only if" or the shorthand "iff." It uses the double arrow to remind you that the conditional must be true in both directions.

What is an example of a biconditional statement?

Biconditional Statement Examples

The polygon has only four sides if and only if the polygon is a quadrilateral. The polygon is a quadrilateral if and only if the polygon has only four sides. The quadrilateral has four congruent sides and angles if and only if the quadrilateral is a square.

What can be written as a biconditional statement?

' Biconditional statements are true statements that combine the hypothesis and the conclusion with the key words 'if and only if. ' For example, the statement will take this form: (hypothesis) if and only if (conclusion). We could also write it this way: (conclusion) if and only if (hypothesis).