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"What and \\( \\Delta D B C \\) are two isosceles triangles\nThe the same base \\( B C \\) and vertices \\( A \\) and \\( D \\)\nare on theame side of \\( B C \\) . If \\( A D \\) is extended\nto intersect \\( B C \\) at \\( E \\) , show that\n(i) \\( \\Delta A B D \\cong \\Delta A C D \\)\n(ii) \\( \\triangle A B E \\cong \\Delta A C E \\)\nWill AE bisects \\( \\angle A \\) as well, as \\( \\angle B \\)"

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Similar Questions

Q1

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.

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Q2

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and

△ D B C

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as in figure.If

A D

is extended to intersect

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at

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Show that

A P

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as well as

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Q3

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Q4

Question 1 (iii)

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Q5

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

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