To determine the length of segment \( LF \) given that \( \Delta LAF \cong \Delta NOW \), we can use properties of congruent triangles. Specifically, corresponding sides of congruent triangles are equal in length.
Without the image to reference, I can't provide a specific length. However, if the lengths of sides \( LA \) and \( NO \) are equal, as well as the lengths of sides \( AF \) and \( OW \), you would also have \( LF \) corresponding to a side from triangle \( NOW \).
To find \( LF \) in relation to the given choices (3, 5, 12, 7), you would need the lengths of sides from triangle \( NOW \) to identify which of these is equal to \( LF \). If you can provide the lengths of the other sides or the lengths of any segments indicated in your image, I would be able to help you further.