Question

Rewrite the statement 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

A biconditional statement expresses mutual conditions; thus, 'A polygon has four sides if and only if it is a quadrilateral' combines the two given statements into one.

Step-by-step explanation:

To rewrite the pair of statements as a single biconditional statement, we combine them into one statement that suggests each is the necessary and sufficient condition of the other. The biconditional statement is: 'A polygon has four sides if and only if it is a quadrilateral.' This implies that having four sides is both necessary for being a quadrilateral, and being a quadrilateral requires having four sides.