Question

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

Explanation:

Step1: Analyze vertical angles

Vertical angles are equal. So, $\angle JHK=\angle NHM$.

Step2: Check side - angle - side (SAS)

We know that $JH = NH$ (marked), $\angle JHK=\angle NHM$ (vertical angles), and $KH = MH$ (marked).

Answer:

SAS