Question

what theorem can be used to conclude that the triangles are congruent? (1 point) sss congruence theorem asa congruence theorem sas congruence theorem ssa congruence theorem

Explanation:

We see that in triangles $\triangle FIG$ and $\triangle HIG$, $FG = HG$ (given by the tick - marks on the sides), $\angle FGI=\angle HGI$ (the common angle bisected by $GI$), and $GI = GI$ (common side). So two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle. The SSS (Side - Side - Side) theorem requires all three sides to be equal, ASA (Angle - Side - Angle) requires two angles and the included side to be equal, and SSA is not a valid congruence theorem.

Answer:

C. SAS Congruence Theorem