To prove that ΔDEF ≅ ΔDGF by SAS, what additional information is needed?


∠DEF ≅ ∠ DGF

∠DFE ≅ ∠ DFG

DE ≅ DG

DG ≅ GF

Respuesta :

Option-B is correct, that is ∠DFE ≅ ∠ DFG from the side and SAS congruency that we obtained must have two sides and one angle.

Given that,

We have to prove ΔDEF ≅ ΔDGF by SAS.

We know that,

Triangle is congruent by SAS

Step1: GF side = EF side ( we can say from the picture)

Step2: DF side =FD side ( we can say from picture that the sides are common)

Step3:

The side and SAS congruency that we obtained must have two sides and one angle.

This implies that there must be a gap between the two sides.

So,

∠DFE ≅ ∠ DFG

Therefore, Option-B is correct, that is ∠DFE ≅ ∠ DFG from the side and SAS congruency that we obtained must have two sides and one angle.

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Answer:

B

Step-by-step explanation: