Write the converse of this conditional. Then determine if the converse is true. If it isn't, provide a counterexample.

If a polygon is a pentagon, then it has five sides.

To write the converse of a conditional, switch the hypothesis and the conclusion. You may need to adjust the language a little.

Conditional:

If a polygon is a pentagon, then it has five sides.

The hypothesis is "a polygon is a pentagon."

The conclusion is "it has five sides."

Now switch the hypothesis and the conclusion and adjust the language a little.

Converse:

If a polygon has five sides, then it is a pentagon.

As you can see, the hypothesis and conclusion were switched to form the converse.

Every five-sided polygon is a pentagon, and every pentagon is a five-sided polygon, so both the conditional and the converse are true.