Question

Write the inverse of the conditional statement. If a polygon is regular, then it has congruent angles and congruent sides.

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

Answer 1

The answer would be D because it states the direct opposite of the original statement. Hope this helps!

Answer 2

The answer is option D.

Explanation:

A conditional statement is a statement where we can symbolize the given statements in a p and q parts. And this contains if-then clause. It says, if p, then q. Here p is a hypothesis and q is a conclusion. Inverse of a statement means the negative form of the statement in the same order. If not p, then not q.

Given statement is :

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

The inverse is :

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