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Quadrilateral A B C D is shown with a diagonal segment from A to C. Angle D A C is marked with 1 arc. Angle A C B is marked with 1 arc.

What else must you know to prove the triangles congruent by SAS?

To prove the triangles congruent by SAS (Side-Angle-Side), we need to know the following information:

1. The length of one side of each triangle.
2. The measure of the included angle (the angle between the two known sides).
3. The length of the other side of each triangle (which can be derived using the Law of Cosines or any other appropriate method).

Without knowing the length of any side of the triangles or any other angles, we do not have enough information to prove the triangles congruent by SAS.