Question

which rule explains why these triangles are congruent? sas aas sss asa these triangles cannot be proven congruent.

Explanation:

Step1: Analyze vertical angles

Vertical angles are equal. So, $\angle KGM=\angle HGJ$.

Step2: Check side - angle - side (SAS)

From the figure, $KG = HG$, $MG = GJ$, and $\angle KGM=\angle HGJ$. By the SAS (Side - Angle - Side) congruence rule, $\triangle KGM\cong\triangle HGJ$.

Answer:

SAS