Question

Write the contrapositive of the following statement.

$\left(i\right)$ If a number is divisible by $9$, then it is divisible by $3$.

$\left(ii\right)$ If you are born in India, then you are a citizen of India.

$\left(iii\right)$ If a triangle is equilateral, it is isosceles.

Answer 1

$\left(i\right)$ Given statement:
If a number is divisible by $9$, then it is divisible by $3$.
Contrapositive of the given statement is,
If a number is not divisible by $3$, it is not divisible by $9$.

$\left(ii\right)$ Given statement:
If you are born in India, then you are a citizen of India.
Contrapositive of the given statement is,
If you are not a citizen of India, then you were not born in India.

$\left(iii\right)$ Given statement:
If a triangle is equilateral, it is isosceles.
Contrapositive of the given statement is,
If a triangle is not isosceles, then it is not equilateral.