### Home > INT2 > Chapter 2 > Lesson 2.1.3 > Problem2-27

2-27.

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 it rains, then the ground is wet.

If the ground is wet, then it is raining. The converse is not always true.

2. If a polygon is a square, then it is a rectangle.

If a polygon is a rectangle, then it is a square. The converse is not always true.

3. If a polygon is a rectangle, then it has four $90^\circ$ angles.

If a polygon has four $90^\circ$ angles, then it is a rectangle. The converse is not always true.

4. If a polygon has three angles, it is a triangle.

5. If two lines intersect, then vertical angles are congruent.