Question

2.5.6 stepping stones
for the conditional statement, if the polygon is a triangle, then the polygon has three sides., which is the converse statement?
if the polygon is not a triangle, then the polygon does not have three sides.
if the polygon does not have three sides, then the polygon is not a triangle.
if the polygon has three sides, then the polygon is a triangle.
the polygon is a triangle, if and only if it has three sides.

Explanation:

In logic, for a conditional statement "if p then q", the converse is "if q then p". Here, p is "the polygon is a triangle" and q is "the polygon has three sides". So the converse is "if the polygon has three sides, then the polygon is a triangle".

Answer:

If the polygon has three sides, then the polygon is a triangle.