By which rule are these triangles congruent?
AAS
ASA
SAS
SSS

Answer:
Option A.
Step-by-step explanation:
Consider the third vertex of second triangle be O.
In triangle GHJ and OMN,
[tex]\angle G=\angle O[/tex] (Given)
[tex]\angle H=\angle M[/tex] (Given)
[tex]HJ=MN[/tex] (Given)
Since two angles and a pair of non-included corresponding sides are congruent, therefore by AAS rule both triangles are congurent.
[tex]\Delta GHJ\cong \Delta OMN[/tex] (By AAS posulate)
Hence, the correct option is A.