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What is the contrapositive of the statement?

All squares are rectangles.

If a figure is a square, then it is a rectangle.
If a figure is a rectangle, then it is a square.
If a figure is not a square, then it is not a rectangle.
If a figure is not a rectangle, then it is not a square.

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User Chipmunk
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2 Answers

3 votes
i lied the answer is if it is not a rectangle then it is not a square
answered
User Remover
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6 votes

Answer: If a figure is not a rectangle, then it is not a square.


Explanation:

The contrapositive of a statement of the form " p is q" is "If not q then not p. The contrapositive is logically equivalent to statement. It doesn't change the logic behind the statement.

Given statement: All squares are rectangles.

Therefore, the correct contrapositive statement is "If a figure is not a rectangle, then it is not a square."

answered
User Dan Ray
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7.9k points
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