Write a converse for each conditional statement below. Then, assuming the original statement is true, decide if the converse must be true or not. .

1. If the base angles of a triangle are congruent, then it is isosceles.

   Hint (a):

   To write a converse, switch the hypothesis and conclusion of the conditional statement.

   Answer (a):

   Converse: If a triangle is isosceles, then its base angles are congruent. Always true.

2. If a polygon is a triangle, then the sum of the angles in the polygon is $180^\circ$.

   Hint (b):

   If the sum of the angles in a polygon is $180^\circ$, is the polygon always a triangle?

3. If I clean my room, then my mom will be happy.

   Hint (c):

   Is your mom happy just because you cleaned your room?