△ABC and △DBC are two isosceles triangles on the same base BC (see in fig.) If AD is extended to intersect BC at P, show that(i) △ABD≅△ACD(ii) △ABP≅△ACP(iii) AP bisects ∠A as well as ∠D.(iv) AP is the perpendicular bisector of BC.
ABC and DBC are two isosceles triangle 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 triangle ABD is congruent to triangle ACD and triangle ABD is congruent to triangle ACP and AP bisects angleA as well as angleD and AP is the perpendicular bisector of BC