Find the inverse of the statement, 'If triangle A B C is equilateral, then it is isosceles'.

Question

Find the inverse of the statement, 'If triangle A B C is equilateral, then it is isosceles'. (A) If triangle A B C is isosceles, then it is equilateral. (B) If triangle A B C is not equilateral, then it is isosceles. (C) If triangle A B C is not equilateral, then it is not isosceles. (D) If triangle A B C is not isosceles, then it is not equilateral.

Tardigrade Admin · Accepted Answer

Inverse of p ⇒ q is -p ⇒-q.

Q. Find the inverse of the statement, 'If $△ A BC$ is equilateral, then it is isosceles'.

If $△ A BC$ is isosceles, then it is equilateral.

If $△ A BC$ is not equilateral, then it is isosceles.

If $△ A BC$ is not equilateral, then it is not isosceles.

If $△ A BC$ is not isosceles, then it is not equilateral.

Inverse of $p \Rightarrow q$ is $- p \Rightarrow - q$ .

Q. Find the inverse of the statement, 'If △ABC is equilateral, then it is isosceles'.

If △ABC is isosceles, then it is equilateral.

If △ABC is not equilateral, then it is isosceles.

If △ABC is not equilateral, then it is not isosceles.

If △ABC is not isosceles, then it is not equilateral.