Read the following statements:

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

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

A. Both statements are true and they do not have the same meaning.
B. Both statements are false and they do have the same meaning.
C. Both statements are true and they have the same meaning.
D. Both statements are false and they do not have the same meaning.



Answer :

Final answer:

Both statements are true but have different implications.


Explanation:

Both statements are true and they do not have the same meaning.

Statement 1: If it is a triangle, then it has three sides. Statement 2: If it does not have three sides, then it is not a triangle. Both of these statements hold true, as all triangles have three sides, and if an object does not have three sides, it cannot be a triangle. However, they do not have the same meaning because the first statement is a conditional statement implying the presence of three sides in a triangle, while the second statement negates the presence of three sides as a condition for not being a triangle.


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