Question 1 (iv) ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that AP is the perpendicular bisector of BC.

Question 1 (iv) ΔABC and ΔDBC are two isosceles triangles on the sa

1.	Question 1 (iv) ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that AP is the perpendicular bisector of BC.
Answer» Question 1 (iv) $Δ$ ABC and $Δ$ DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see the given figure). If AD is extended to intersect BC at P, show that AP is the perpendicular bisector of BC.