Which postulate or theorem proves that these two triangles are congruent? ASA Congruence Postulate SAS Congruence Postulate HL Congruence Theorem AAS Congruence Theorem

Question

asked Aug 20, 2018 69.0k views

2 Answers

Asue · Answer 1 · 2018-08-27T14:00:04+0000

Answer: AAS Congruence Theorem

Explanation:

In the given picture , we have given two triangles ΔFGJ and ΔHJG with one common edge i.e. GJ

Now, in the given triangles ΔFGJ and ΔHJG we have

∠F=∠H [given]

and ∠FGJ=∠HJG [given]

Also, GJ=GJ [Reflexive property]

Therefore, by AAS Congruence Theorem,

ΔFGJ ≅ ΔHJG

AAS Congruence Theorem says that if any two angles and a side one triangle are congruent to any two angles and a side of another triangle, then these two triangles are congruent.