1. **State the problem:** We need to find the length of segment $AB$ in a triangle where $AC = 25$ meters, $CR = 6$ meters, and $AB$ is congruent to $CR$. 2. **Identify the congruent segments:** Since $AB$ is congruent to $CR$, by definition of congruence, their lengths are equal. 3. **Apply the congruence rule:** $$AB = CR$$ 4. **Substitute the known length:** $$AB = 6$$ 5. **Conclusion:** The measure of $AB$ is 6 meters. This is a straightforward application of the property that congruent segments have equal lengths.