Answer: A. SAS
Step-by-step explanation:
In the given picture , we have two triangles ΔHIG and Δ FIE , in which
[tex]\overline{HI}\cong\overlien{FI}[/tex] [given]
[tex]\angle{HGI}\cong\angle{FEI}[/tex] [given]
Also, [tex]\angle{HIG}\cong\angle{FIE}[/tex] [Vertically opposite angles]
Therefore by SAS congruence postulate we have
[tex]\triangle{HIG}\cong\triangle{FIE}[/tex]
- SAS congruence postulate 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 we say that the two triangles are congruent.
