Question

Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

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?

Answer 1

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

1. The length of side AC: In order to apply the side-angle-side (SAS) congruence criterion, we must know that the two triangles share a common side AC.

2. The measures of angles DAC and ACB: Additionally, we need to know the measures of these two angles, as SAS requires that the corresponding sides be in the same order with the included angles.