What is the inverse of the following conditional statement? "If the sum of the interior angles of a polygon is 180°, then the polygon is a triangle."

Question

What is the inverse of the following conditional statement?

"If the sum of the interior angles of a polygon is 180°, then the polygon is a triangle."

1. If the polygon is a triangle, then the sum of the interior angles of the polygon is 180°. 
2. If the polygon is not a triangle, then the sum of the interior angles of the polygon is not 180°.
3. If the sum of the interior angles of a polygon is not 180°, then the polygon is not a triangle. 
4. If the sum of the interior angles of a polygon is 180°, then the triangle is a polygon.

Answer 1

3 is the correct answer.

The inverse of the conditional statement

"If p, then q"

is

"If not p, then not q."

Negate both the hypothesis and the conclusion, but keep them in the same order (p first, q last).