The triangle congruence criteria help us compare and work with other figures in several ways. First, they allow us to determine whether two triangles are congruent, which can be helpful when we want to determine whether two other figures are also congruent. Second, the triangle congruence criteria can help us break down other figures into triangles, which can be easier to work with. For example, we might divide a quadrilateral into two triangles, determine whether the two triangles are congruent, and then use that information to infer something about the quadrilateral. Lastly, the triangle congruence criteria can also help us solve problems involving other figures by allowing us to use properties of congruent triangles. For example, if we know that two triangles are congruent, we can use the corresponding parts of the congruent triangles to find missing measurements in one of the figures.