Hello!
Looking at the diagram, we are told that side JC is congruent to side GC and side HC is congruent to side FC.
∠JCH and ∠FCG are positioned on opposite sides of two intersecting lines. Therefore, they can be classified as vertical angles. Vertical angles are always congruent. Consequently, ∠JCH = ∠FCG.
We have now proven that the triangles share two equal sides and one equal angle. In this case, we have proven their congruence using side-angle-side or SAS. The correct answer is C.
I hope this helps!
