Question

what is the biconditional statement of the following conditional statement? \if a polygon has four sides, then it is a quadrilateral.\ if a polygon does not have four sides, then it is a not quadrilateral. if a polygon is not a quadrilateral, then it is does not have four sides. a polygon has four sides if and only if it is a quadrilateral. if a polygon is a quadrilateral, then it has four sides.

Explanation:

A biconditional statement combines a conditional statement "if p then q" and its converse "if q then p" into "p if and only if q". Here, p is "a polygon has four sides" and q is "it is a quadrilateral". The biconditional combines the original conditional and its converse.

Answer:

A polygon has four sides if and only if it is a quadrilateral.