Question

Rewrite the statements as a single biconditional statement: If a polygon has four sides, then it is a quadrilateral. If a polygon is a quadrilateral, then it has four sides.

Answer 1

Combine the two conditionals into a biconditional by stating: A polygon is a quadrilateral if and only if it has four sides.

Step-by-step explanation:

The two statements given are conditionals that can be combined into a single biconditional statement since they express a necessary and sufficient relationship between being a polygon with four sides and being a quadrilateral. To write a biconditional statement, we can combine the conditionals using the phrase 'if and only if' which indicates that each condition is both necessary and sufficient for the other. Thus, the biconditional statement would be: A polygon is a quadrilateral if and only if it has four sides.