Question

Read the following statements: statement 1: if it is a square, then it has more than four sides. statement 2: if it has less than four sides, then it is a square. determine if the statements are true or false and if they have the same meaning.

Answer 1

The two statements in question are true and false, respectively, and they do not have the same meaning.

Step-by-step explanation:

The first statement 'If it is a square, then it has more than four sides' is FALSE. A square has four sides, so it cannot have more than four sides. The second statement 'If it has less than four sides, then it is a square' is TRUE. This is because a polygon with less than four sides is not possible, and a square has four sides.

These two statements are not equivalent because they express different conditions. The first statement implies that any shape with more than four sides is a square, which is incorrect. The second statement correctly states that a square is the only shape with exactly four sides.