Answer:
▢ [tex]$\overline{DG}$[/tex] ≅ [tex]$\overline{FG}$[/tex]
▢ [tex]$\overline{DG}$[/tex] ≅ [tex]$\overline{BG}$[/tex]
▢ [tex]$\overline{GE}$[/tex] bisects [tex]\displaystyle ∠DEF[/tex]
▢ [tex]$\overline{GA}$[/tex] bisects [tex]\displaystyle ∠BAF[/tex]
Step-by-step explanation:
As you can see, angles [tex]\displaystyle BAF[/tex] and [tex]\displaystyle DEF[/tex] form two half-kites, which you should know have two pairs of congruent sides, therefore segments [tex]\displaystyle GA[/tex] and [tex]\displaystyle GE[/tex] are what you call angle bisectours, which is why segments [tex]\displaystyle FG,[/tex] [tex]\displaystyle DG,[/tex] and [tex]\displaystyle BG[/tex] are congruent.
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