What is the inverse of the following conditional statement?

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

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

1 answer

The inverse of a conditional statement "If P, then Q" is "If not P, then not Q."

For the conditional statement "If the figure is a triangle (P), then the figure has three sides (Q)," the inverse would be:

"If the figure is not a triangle (not P), then the figure does not have three sides (not Q)."

So, the correct answer from your options is:

If the figure is not a triangle, then the figure does not have three sides.