Question

which rule explains why these triangles are congruent?
m
j
g
k
h
sas
aas
sss
asa
these triangles cannot be proven congruent.

Explanation:

Step1: Analyze vertical angles

Vertical angles are equal. So, $\angle MGK=\angle JGH$.

Step2: Check side - angle - side (SAS)

We have $MK = JH$ (given by the marks on the sides), $\angle MGK=\angle JGH$ (vertical angles), and $MG = JG$ (given by the marks on the sides). So, by the SAS (Side - Angle - Side) congruence rule, $\triangle MGK\cong\triangle JGH$.

Answer:

SAS