Question

Write the converse of the conditional statement.

If a polygon is regular, then it has congruent angles and congruent sides.

If a polygon has congruent angles and congruent sides, then it is regular.
If a polygon does not have congruent angles and congruent sides, then it is not regular.
A polygon has congruent angles and congruent sides, if and only if, it is regular.
If a polygon is not regular, then it does not have congruent angles and congruent sides.

Answer 1

If a polygon has congruent angles and congruent sides, then it is regular.

Step-by-step explanation:

If we have a statement,

'P is true if Q is true',

Then the statement 'Q is true if P is true' is called the converse statement of the above statement.

That is, the converse statement is obtained after switching the hypothesis and conclusion.

Thus, by the above explanation, It is clear that the converse of the statement,

'If a polygon is regular, then it has congruent angles and congruent sides'

Would be 'If a polygon has congruent angles and congruent sides, then it is regular'.

Hence, first option is correct.

Answer 2

The converse of a conditional statement, in definition, is formed by interchanging the cause and effect of the original statement. A conditional statement is formed with ‘if’ followed by ‘then’. Among the choices, the answer would be

If a polygon is not regular, then it does not have congruent angles and congruent sides.