Agnes started with point \[B\] on line \[\overleftrightarrow{AC}\] and constructed \[\overleftrightarrow{BF}\]. Line A B. Point C is also on line A B. A circle arc is centered at point B and intersects line A B at point D on one side and point E on the other side. Another circle arc has the center at point C. It passes through a point F not on line A B. A third circle arc has its center at E and intersects at point F as well. A line passes through points B and F. \[A\] \[B\] \[C\] \[D\] \[E\] \[F\] Which two statements, if true, guarantee that \[\overleftrightarrow{BF}\] is perpendicular to \[\overleftrightarrow{AC}\]? Choose 2 answers: Choose 2 answers: (Choice A) \[\overline{BE} \cong \overline{BD}\] A \[\overline{BE} \cong \overline{BD}\] (Choice B) \[\overline{BE} \cong \overline{BC}\] B \[\overline{BE} \cong \overline{BC}\] (Choice C) \[\overline{FE} \cong \overline{FD}\] C \[\overline{FE} \cong \overline{FD}\] (Choice D) \[\overline{FA} \cong \overline{FC}\] D \[\overline{FA} \cong \overline{FC}\]