When a conditional statement and its converse are both true, you can write it as a single biconditional statement.
A polygon has four sides if and only if the polygon is a quadrilateral.
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When a conditional statement and its converse are both true, it can be rewritten as a single biconditional statement. If p is the hypothesis and q the conclusion, the biconditional statement is written as p if and only if q. We have been given both a hypothesis and a conclusion of a true statement.
p&=A polygon has four sides
q&=The polygon is a quadrilateral
Using deductive reasoning, we know that both the conditional statement and converse is true. Therefore, we can write this as a biconditional statement.
Biconditional statement
A polygon has four sides if and only if
the polygon is a quadrilateral.
