4. Write the converse of the following conditional statement and determine if it is true. the tement is if If \( \overline{A B} \cong \overline{C D} \). then \( A B=C D \).

To write the converse of the given conditional statement, we need to switch the hypothesis and the conclusion. The original statement is: - If \( \overline{AB} \cong \overline{CD} \), then \( AB = CD \). The converse of this statement is: - If \( AB = CD \), then \( \overline{AB} \cong \overline{CD} \). Now, let's determine if the converse is true. The statement \( AB = CD \) means that the lengths of segments \( AB \) and \( CD \) are equal. If the lengths of two segments are equal, then by definition, the segments are congruent. Therefore, if \( AB = CD \), it follows that \( \overline{AB} \cong \overline{CD} \). Thus, the converse statement is true. In summary: - Converse: If \( AB = CD \), then \( \overline{AB} \cong \overline{CD} \). - The converse is true.