The contrapositive of the following statement, “If the side of a square doubles, then its area increases four times”, is
If the side of a square is not doubled, then its area does not increase four times.
If the area of a square increases four times, then its side is doubled.
If the area of a square increases four times, then its side is not doubled.
If the area of a square does not increase four times, then its side is not doubled.
As we learnt in
Implications -
Symbol of If p then q is p q or p q
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If statement is
contrapositive is
If the area of square does not increase four times, then its side is not doubled.
Option 1)
If the side of a square is not doubled, then its area does not increase four times.
Incorrect
Option 2)
If the area of a square increases four times, then its side is doubled.
Incorrect
Option 3)
If the area of a square increases four times, then its side is not doubled.
Incorrect
Option 4)
If the area of a square does not increase four times, then its side is not doubled.
Correct
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