Are the triangles congruent? If so, how do you know?

yes, because of ASA or AAS (C)

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there. So in other words no matter what way it is flipped or anything else that does not change the numbers on the sides it is congruent.