P is a point on the bisector of ABC. If the line through P, parallel to BA meets BC at Q, prove that BPQ is an isosceles triangle.
Given : P is a point on the bisector at ÐABC.
To prove:- BPQ is on an isosceles triangle
1 = 2 ( BP is bisector of ABC)
1 = 3 ( PQ is parallel to BA)
2 = 3
PQ = BQ (If two angles are equal their opposite sides also equal)
PBQ is on the isosceles triangle.
Hence proved.