Not quite. First, you have to determine whether the converse statement is written correctly (regardless of its validity). The converse is formed by switching the hypothesis and conclusion. So, in this case, the converse is written correctly. So, that leaves either 2 or 4 as your correct answer. You are correct to eliminate 4 because we are trying to dispute the validity of the example. That leaves 2 as your correct answer. If you do not want to use process of elimination, we know that 2 is correct because corresponding angles are indeed congruent. In other words, just because two angles are congruent does not mean that they are alternate interior angles; they could also be corresponding angles.
Inactive Tutor
For the conditional statement to be true, there needs to be an added phrase: if two parallel lines are cut by a transversal forming alternate interior angles, then the alternate interior angles are congruent. Since there is no mention of parallel lines, seems like this is a poorly formed problem.05/12/23