Determine if the statements are true or false and if they have the same meaning.

Question

Read the following statements:

Statement 1: If it has exactly two sides, then it is a polygon.

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

Determine if the statements are true or false and if they have the same meaning.

1. Both statements are false and they do not have the same meaning. 
2. Both statements are true and they have the same meaning. 
3. Both statements are true and they do not have the same meaning. 
4. Both statements are false and they have the same meaning.

Answer 1

(1) is the correct answer. They are contrapositives of one another, so they have the same truth value. This can be viewed as having the same meaning, or lack.of meaning.