31. In the figure below, which theorem or postulate can be used to prove TriangleKGC=TriangleFHE?

Explanation
We are asked to find the theorem that helps complete the proof that the triangle KGC is congruent to triangle FHE
Two triangles are congruent if they satisfy the 5 conditions of congruence. They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS) and right angle-hypotenuse-side (RHS).
Thus, for the given question
They are congruent due to SAS
SAS: If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Thus, option B is correct