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2 April, 12:55

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)
  1. 2 April, 13:59
    0
    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.
  2. 2 April, 14:23
    0
    The answer would be C. If a figure is not a quadrilateral, it does not have four sides.
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