In geometry, a converse statement is a statement formed by interchanging the hypothesis and conclusion of a conditional statement. A conditional statement is a statement that joins two events together based on a condition in the form of "If something, then something". For example, "If a closed shape has four sides then it is a square" is a conditional statement. The converse of this statement would be "If a shape is a square, then it has four sides".

It is important to note that the truthfulness of a converse statement depends on the truth of the hypotheses of the conditional statement. In addition to the converse statement, there are also inverse and contrapositive statements that can be obtained from a conditional statement.

Here are the definitions of these statements:

• Converse statement: A statement obtained by reversing the hypothesis and conclusion of a conditional statement.
• Inverse statement: A statement obtained by negating both the hypothesis and conclusion of a conditional statement.
• Contrapositive statement: A statement obtained by negating both the hypothesis and conclusion of the converse statement.

It is important to verify the truth value of a converse statement, as it may or may not be true.