Question

can you conclude that these triangles are congruent?
options: yes, no

Explanation:

We check the congruence criterion: In $\triangle CFG$, we have side $CG$ marked congruent, and $\angle C$ marked congruent. In $\triangle HJK$, side $HK$ is marked congruent, and $\angle H$ is marked congruent. This matches the SAS (Side-Angle-Side) congruence rule: two triangles are congruent if a pair of corresponding sides, the included corresponding angle, and another pair of corresponding sides are congruent. Here, $CG \cong HK$, $\angle C \cong \angle H$, and the sides forming these angles (the other pair of sides for the included angle) correspond correctly to satisfy SAS.

Answer:

yes