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Segment AC is congruent to segment AE. Segment AD is perpendicular to segment BF. Angle 1 is congruent to angle 2.

Triangle ACF is congruent to triangle AEB.

Triangle ABC is isosceles with vertex angle A. Angle BDC is congruent to angle CEB. Segment CD is a median Segment BE is a median.

Triangle BFC is isosceles.

Triangle ABC is isosceles with vertex angle A. Angle BDC is congruent to angle CEB. Segment CD is a median. Segment BE is a median.