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Which statement always has the same truth value as the conditional?
The statement "if not p, then not q" always has the same truth value as the conditional "if p, then q." They are logically equivalent.
How would you make a diagram to represent the contrapostive of the statement of if it is a square then it is a quadrilateral?
To represent the contrapositive of the statement "If it is a square, then it is a quadrilateral," first identify the components: let ( P ) be "it is a square" and ( Q ) be "it is a quadrilateral." The contrapositive is "If it is not a quadrilateral, then it is not a square." In a diagram, you can use two circles to represent the sets: one for quadrilaterals and one for squares, with the square circle entirely within the quadrilateral circle. Then, illustrate the negation by highlighting the area outside the quadrilateral circle, indicating that anything outside this area cannot be a square.
