The bisector of angle A is drawn in the peralelogram ABCD, which intersects the side BC at point F
| April 26, 2021 | education
The bisector of angle A is drawn in the peralelogram ABCD, which intersects the side BC at point F. Prove that triangle ABF is isosceles.
The FAD angle is equal to the FAB angle, since AF is the bisector of the VAD angle.
The angle BFA is equal to the angle FAD as criss-crossing angles at the intersection of parallel straight lines. Then the angle BAF = BFA. Since the angles at the base AF, triangle ABF are equal, triangle ABF is isosceles.
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