ΔABC and ΔDBC and two isoceles triangles on the same base BC and vertices A and D are on the same side of BC . if AD is extended to intersect BC at P , show that
1)ΔABD≅ΔACD
2)ΔABP≅ΔACP
3) AP bisects ∠A as well as ∠D
4)AP is the perpendicular bisector of BC
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