Question

Which postulate or theorem proves that these two triangles are

congruent?
AAS Congruence Theorem
ASA Congruence Postulate
HL Congruence Theorem
SAS Congruence Postulate

Answer 1

AAS Congruence Theorem.

Here we can see that,

1.) angle JFG = angle JHG...(Opposite angles between parallel lines)

2.) angle JGF = angle GJH ...( alternate angles)

3.) side JG is common side.

hence AAS congruence Criterion is applicable.