### Home > INT2 > Chapter 2 > Lesson 2.3.1 > Problem2-80

2-80.

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.

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

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 $180^\circ$.

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.