I think that you will agree that the statement, "If two triangles are congruent, then they have the same area,"...

I think that you will agree that the statement, "If two triangles are congruent, then they have the same area," is true. Now consider the converse, "If two triangles have the same area, then they are congruent." Is this a true statement? If it is, explain how you know it's true. If it's not, be sure to include at least one counterexample in your explanation.