Question

Select the correct answer.

Statement 1: A figure is a triangle if and only if it has three sides.
Statement 2: A figure has three sides if and only if it is a triangle.
How is statement 2 related to statement 1?
OA. Statement 2 is the contrapositive of statement 1.
OB. Statement 2 is the biconditional of statement 1.
O C. Statement 2 is the inverse of statement 1.
O D. Statement 2 is the converse of statement 1.

Answer 1

The correct answer is option OA) Statement 2 is related to statement 1 as its contrapositive.

Step-by-step explanation:

The correct answer is OA. Statement 2 is the contrapositive of statement 1.

In logic, the contrapositive of a statement is formed by negating both the hypothesis and the conclusion, and switching their order. In this case, statement 1 says that a figure is a triangle if and only if it has three sides. The contrapositive of this statement, which is statement 2, would be that a figure does not have three sides if and only if it is not a triangle.

So, statement 2 is related to statement 1 as its contrapositive.