Answer: The converse is "If a polygon has 5 sides, then it is a regular pentagon" and it is FALSE.
Step-by-step explanation: We are given to state the converse of the following conditional statement and to determine whether it is true or false :
"If a polygon is a regular pentagon, then it has 5 sides".
We know that
the converse of a conditional statement "p ⇒ q" is given by "q ⇒ p".
Therefore, the CONVERSE of given conditional statement is
"If a polygon has 5 sides, then it is a regular pentagon".
The converse is not true, because if a polygon has 5 sides, then it is a pentagon, not necessarily a regular pentagon.
Thus, the converse is "If a polygon has 5 sides, then it is a regular pentagon" and it is FALSE.
