Question

G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.

Answer 1

▢
`$\overline{DG}$` ≅
`$\overline{FG}$`

▢
`$\overline{DG}$` ≅
`$\overline{BG}$`

▢
`$\overline{GE}$` bisects

▢
`$\overline{GA}$` bisects
`\displaystyle ∠BAF`

Step-by-step Step-by-step explanation:

As you can see, angles
`\displaystyle BAF` and
form two half-kites, which you should know have two pairs of congruent sides, therefore segments
`\displaystyle GA` and
`\displaystyle GE` are what you call angle bisectours, which is why segments
`\displaystyle FG,`
`\displaystyle DG,` and
`\displaystyle BG` are congruent.

I am joyous to assist you at any time.