What is the inverse of the following conditional statement? "If the figure is a triangle, then the figure has three sides."

Question

What is the inverse of the following conditional statement?

"If the figure is a triangle, then the figure has three sides."

1. If the figure has three sides, then the figure is a triangle. 
2. If the figure is a triangle, then the figure can have only three sides. 
3. If the figure does not have three sides, then the figure is not a triangle. 
4. If the figure is not a triangle, then the figure does not have three sides.

Answer 1

You may need to give an inverse, a converse, or a contrapositive.

Here is how each of those is related to the statement, if p then q:

Converse: If q, then p

Inverse: If not p, then not q

Contrapositive: If not q, then not p

So in this case, your answer is 4) If the figure is not a triangle, then it does not have three sides.

Answer 2

(4) is the correct answer choice.

If the original statement is

"if p, then q"

the inverse has the form

"if (not p), then (not q)".