Question

which rule explains why these triangles are congruent?

Explanation:

Step1: Identify vertical angles

$\angle MHN=\angle KHJ$ (vertical angles are equal).

Step2: Analyze given information

We have two angles ($\angle M=\angle J$, $\angle MHN=\angle KHJ$) and a non - included side (the sides marked equal).

Answer:

AAS (Angle - Angle - Side)