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



ASA Congruence Postulate

SAS Congruence Postulate

HL Congruence Theorem

AAS Congruence Theorem

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

Respuesta :

Answer:

AAS Congruence Theorem

Step-by-step explanation:

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Answer: AAS Congruence Theorem

Step-by-step 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.