If a figure has four sides, it is a quadrilateral. What is the contrapositive of this statement? A. If a figure is a quadrilateral, it does not have four sides.

B. If a figure does not have four sides, it is a quadrilateral.

C. If a figure is not a quadrilateral, it does not have four sides.

D. If a figure has four sides, it is not a quadrilateral.

Question

Pepsi

Mathematics

6 April, 21:46

If a figure has four sides, it is a quadrilateral. What is the contrapositive of this statement? A. If a figure is a quadrilateral, it does not have four sides.

B. If a figure does not have four sides, it is a quadrilateral.

C. If a figure is not a quadrilateral, it does not have four sides.

D. If a figure has four sides, it is not a quadrilateral.

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Answers (2)

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Raphael Adkins · Answer 1

The answer is C.

If a figure is not a quadrilateral, it doesn't have four sides.

Explanation: Contrapositive of some statement is a statement that has negations in it. This kind of statement you can write in a form: If A than B. Contrapositive of this would be: If not A than not B. Now you need to look in possible answers and check them out.

-In first statement we negated A but not A

-In second we negated A but not B (the difference is that A and B have different order

-In forth B is negated while A isnt.

Finally if we check C we see that it matches. Both A and B are negated.

Cason Meyers · Answer 2

The answer would be C. If a figure is not a quadrilateral, it does not have four sides.