Question

The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is

• A. If the area of a square increases four times, then its side is not doubled
• B. If the area of a square increases four times, then its side is doubled
• C. If the area of a square does not increase four times, then its side is not doubled
• D. If the side of a square is not doubled, then its are does not increase four times

Answer 1

The correct option is C If the area of a square does not increase four times, then its side is not doubled

Contrapositive of "if the side of square doubles, then its area increases four times"

$p\to q$

Contrapositive is $\sim q⟶\sim p$

So, it would be

if area of square is not increased four times, then its side is not doubled.

Answer C