Question

Read the statements shown below.

Statement 1: If it has two sides, then it is a polygon.
Statement 2: If it is not a polygon, then it does not have two sides.

Are the two statements logically equivalent?

No, both statements are false.

Yes, both statements are true.

No, only one statement is true.

Yes, both statements are false.

Answer 1

One is the contrapositive of the other. So they are logically equivalent. Since you need at least 3 sides to make a polygon, the first statement is false. So the second statement, which is equivalent, is also false.

Answer 2

No, both statements are false.

Answer 3

Alright, thank you both!

Answer 4

So the answer is choice D "Yes, both statements are false."