` A B C\ a n d\ D B C` are two isosceles triangles on the same bas `B C` and vertices `A\ a n d\ D` are on the same side of `B C` . If `A D` is extended to intersect `B C` at `P ,` show that ` A B D\ ~= A C D` (ii) ` A B P\ ~= A C P`

A B C and D B C are two isosceles triangles on the same base B C and vertices A and D are on the same side of B D . If A D is extended to intersect B C at P , show that A B D~=A C D (ii) A B P~=A C P A P bisects /_A as well as /_D A P is perpendicular bisector of B Cdot

A B C\ a n d\ D B C are two isosceles triangles on the same bas B C and vertices A\ a n d\ D are on the same side of B C . If A D is extended to intersect B C at P , show that A P bisects "\ "/_A as well as /_D A P is the perpendicular bisector of B C

A B C\ a n d\ D B C are two isosceles triangles on the same bas B C and vertices A\ a n d\ D are on the same side of B C . If A D is extended to intersect B C at P , show that A P bisects " "/_A as well as /_D and A P is the perpendicular bisector of B C

In Figure, A B C\ a n d\ D B C are two isosceles triangles on the same base B C such that A B=A C\ a n d\ D B=C Ddot Prove that /_A B D=\ /_A C D

In Figure, A B C\ a n d\ D B C are two triangles on the same base B C such that A B=A C\ a n d\ D B=D Cdot Prove that /_A B D=/_A C D

A B C\ a n d\ D B C are both isosceles triangles on a common base B C such that A\ a n d\ D lie on the same side of B Cdot Are triangles A D B and A D C congruent? Which condition do you use? If /_B A C=40^0\ a n d\ /_B D C\ =100^0;\ then find \ /_A D B

Two triangles B A Ca n dB D C , right angled at Aa n dD respectively, are drawn on the same base B C and on the same side of B C . If A C and D B intersect at P , prove that A P*P C=D P*P Bdot

Triangles A B C and DBC are on the same base B C with A, D on opposite side of line B C , such that a r(triangle A B C)=a r( triangle D B C) . Show that B C bisects A D .

In Figure, A B\ a n d\ C D are two chords of a circle, intersecting each other at P such that A P=C P . Show that A B=C D .

A B C is an isosceles triangle in which A B=A C . If D\ a n d\ E are the mid-points of A B\ a n d\ A C respectively, Prove that the points B ,\ C ,\ D\ a n d\ E are concyclic.