' 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).

What is an example of a biconditional statement?

If I have a pet goat, then my homework will be eaten. If I have a triangle, then my polygon has only three sides. If the polygon has only four sides, then the polygon is a quadrilateral. If I eat lunch, then my mood will improve.

What are biconditional statements in geometry?

A biconditional statement is a combination of a conditional statement and its converse written in the if and only if form. ... 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”.