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3 years ago

If a polygon is a regular pentagon, then it has 5 sides.

Mathematics

2 answers:

Aleksandr [31]3 years ago

8 0

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.

mina [271]3 years ago

3 0

If a polygon has 5 sides, then it is a regular pentagon
False: regular pentagon = equiangular. There are pentagons that have 5 sides that are not equiangular

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