`A ,\ B ,\ C ,\ D` are four consecutive points on a circle such that `A B=C Ddot` Prove that `A C=B D`

A,B,C,D are four consecutive points on a circle such that AB=CD .Prove that AC=BD

In Figure, A C > A B\ a n d\ D is the point on A C such that A B=A Ddot Prove that B C > C D

In a rectangle A B C D , prove that A C B~= C A Ddot

A D and B E are respectively altitudes of an isosceles triangle A B C with A C=B C . Prove that A E=B Ddot

Two circle with centres A and B intersect at C and Ddot Prove that /_A C B=/_A D Bdot

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

A B\ a n d\ C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C D

A B\ a n d\ C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C D

A B C D is a parallelogram. E is a point on B A such that B E=2\ E A\ a n d\ F is a point on D C such that D F=2\ F Cdot Prove that A E\ C F is a parallelogram whose area is one third of the area of parallelogram A B\ C Ddot

A B and C D are two parallel chords of a circle whose diameter is A C . Prove that A B=C Ddot