Your classmate says the triangles below are not congruent by SSS. She explains that congruent sides do not correspond explain the error in her reasoning.
The error in your classmate's reasoning is that congruent sides do correspond in the triangles below. According to the SSS (Side-Side-Side) congruence criterion, if the three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent.
In the given triangles, all three sides are listed and labeled accordingly. For example, Triangle ABC has sides with lengths 5 cm, 6 cm, and 7 cm, while Triangle DEF has sides with lengths 5 cm, 6 cm, and 7 cm. Since all three sides are congruent and correspond to each other, we can conclude that the triangles are indeed congruent by the SSS criterion.