The figure below shows circle with center O and regular hexagon ABCDEF constructed inscribed in a circle.

https://assets.learnosity.com/organisations/328/75645853-4834-46e0-95d7-320528a654e7/img_geo_4_14_02_graphing.gif

Which of the following steps will help prove that triangle FBD is equilateral?

Prove that DA, EF, and CB are parallel
Prove that angles A, B, C D, E, and F are congruent
Prove that triangles BDC, DFE, and BFA are congruent

Question

The figure below shows circle with center O and regular hexagon ABCDEF constructed inscribed in a circle.

https://assets.learnosity.com/organisations/328/75645853-4834-46e0-95d7-320528a654e7/img_geo_4_14_02_graphing.gif

Which of the following steps will help prove that triangle FBD is equilateral?

Prove that DA, EF, and CB are parallel
Prove that angles A, B, C D, E, and F are congruent
Prove that triangles BDC, DFE, and BFA are congruent

swinn · Answer

@tiffskater123  @XioGonz

XioGonz · Answer

Triangles OAB,BOC,COD,DOA are isocele and right , are thus equals and have the same hypothenus . The quadrilater ABCD is a diamond (having 4 sides equals) and its diagonals perpendicular is thus a square.

swinn · Answer

that's not one of the choices i have to choose one of the three steps
Prove that DA, EF, and CB are parallel
Prove that angles A, B, C D, E, and F are congruent
Prove that triangles BDC, DFE, and BFA are congruent

swinn · Answer

nvm i think i got it