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Which statements must be true regarding the diagram? BG ≅ AG DG ≅ FG DG ≅ BG GE bisects ∠DEF GA bisects ∠BAF

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GlitteryDiamond27

Answer:

The answer is B, C, D, and E

Step-by-step explanation:

I hope this helps!

akposevictor

Considering what an incenter of a triangle is, the statements that will be true given the diagram attached below are:

[tex]B. $ DG \cong FG\\\\C. $ DG \cong BG\\\\[/tex]

D. [tex]\overline{GE}[/tex] bisects ∠DEF

E. [tex]\overline{GA}[/tex] bisects ∠BAF

The diagram of the triangle with an incenter that is being referred to has been attached in the image below.

Recall:

  • An incenter (i.e. G) of a triangle (i.e. triangle ACE) is the point at which the three (3) angle bisectors (i.e AG, CG, and EG) intersect.

  • The incenter (i.e. G) is also the point that is equidistant to the each three sides of the triangle.

Therefore, considering what an incenter of a triangle is, the statements that will be true given the diagram attached below are:

[tex]B. $ DG \cong FG\\\\C. $ DG \cong BG\\\\[/tex]

D. [tex]\overline{GE}[/tex] bisects ∠DEF

E. [tex]\overline{GA}[/tex] bisects ∠BAF

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https://brainly.com/question/8477889

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