Question

Which postulate or theorem proves that these two triangles are congruent?

ASA Congruence Postulate

SAS Congruence Postulate

HL Congruence Theorem

AAS Congruence Theorem

Answer 1

AAS Congruence Theorem

Explanation:

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Answer 2

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.