ΔABC and ΔDBC are two isosceles 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 E, show that(i) ΔABD ≅ ΔACD(ii) ΔABE ≅ ΔACE(iii) AE bisects ∠A as well as ∠D(iv) AE is the perpendicular bisector of BC.

ΔABC and ΔDBC are two isosceles triangles on the same base BC and ve

1.	ΔABC and ΔDBC are two isosceles 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 E, show that(i) ΔABD ≅ ΔACD(ii) ΔABE ≅ ΔACE(iii) AE bisects ∠A as well as ∠D(iv) AE is the perpendicular bisector of BC.
Answer» ΔABC and ΔDBC are two isosceles 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 E, show that (i) ΔABD ≅ ΔACD (ii) ΔABE ≅ ΔACE (iii) AE bisects ∠A as well as ∠D (iv) AE is the perpendicular bisector of BC.