Question

What additional information can be used to prove ΔFEG ≅ ΔFQG by SAS?

Answer 1

M < EFG = m < QFG   is needed 

Answer 2

Answer: ∠EFG=∠QFG

Step-by-step explanation:

• The SAS postulate of congruence says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then these two triangles must be congruent.

In the given picture we have two triangles ΔFEG and ΔFQG  in which EF=FQ

and GF=GF [ by reflexive property].

To apply SAS postulate we need included angle of sides EF, GF and FQ, GF.

Therefore, the additional information can be used to prove ΔFEG ≅ ΔFQG is given by :-

∠EFG=∠QFG