Question

Which of the following postulates can be used to prove that triangles are congruent?

SAS
ASA
SSS
AAS
HL Theorem

Answer 1

SAS Postulates

Explanation:

The SAS or the side-angle-side theorem states that two triangles are equal if two sides and the angle between them are equal. As you can see in your figure:

Between ΔIGH and ΔFDE

m∠ IGH ≅ m∠FDE

side IG ≅ side FD

side GH ≅ side DF

So based on that SAS postulate proves that the triangles are congruent.