In Figure, `A B=C Ddot` Prove that `B E=D E\ a n d\ A E=C E ,` where `E` is the point of intersecting of `A D\ a n d\ B Cdot`

In Figure, A B=C D . Prove that B E=D E\ a n d\ A E=C E , where E is the point of intersecting of A D\ a n d\ B C .

D\ a n d\ E are, respectively, the points on equal sides A B\ a n d\ A C of an isosceles triangle A B C such that B ,\ C ,\ E ,\ a n d\ D are concyclic as shown in Figure. If O is the point of intersection of C D\ a n d\ B E , prove that A O is the bisector of line segment D E

D a n d E are, respectively, the points on equal sides A B a n d A C of an isosceles triangle A B C such that B , C , E , a n d D are concyclic as shown in Figure. If O is the point of intersection of C D a n d B E , prove that A O is the bisector of line segment D E

In Figure, If A B || C D\ a n d\ C D\ || E F , Find /_A C E .

In Figure, it is given that A E=A D\ a n d\ B D=C Edot Prove that A E B\ ~= A D C

In Figure, if /_\ A B E~= /_\A C D , prove that /_\ A D E ~ /_\ A B C .

In Figure D E A C and D C a pdot Prove that (B E)/(E C)=(B C)/(C P)

In Figure, A B||C F\ a n d\ B C||E D . Prove that /_A B C=\ /_F D E

In Figure, it is given that A E=A D and B D=C Edot Prove that A E B~=A D C

In Figure, if A B=A C\ a n d\ B E=C D , prove that A D=A Edot