" If "ABCD" is a square then show that the points "A,B,C" and "D" are concyclic."

In Figure,ABC is a triangle in which AB=AC. Point D and E are points onthe sides AB and AC respectively such that AD=AE .Show that the points B,C,E and D are concyclic.

In the adjoining figure, ABC is a triangle in whcich AB=AC. If D and E are poitns on AB and AC respecrtively such that AD=AE, show that the points B,C,E and D are concyclic.

ABC is an isosceles triangle in which AB=AC. If D and E are the mid-points of AB and AC respectively,prove that the points B,C,D and E are concyclic.

In Figure, A B C is a triangle in which A B=A Cdot Point D and E are points on the sides AB and AC respectively such that A D=A Edot Show that the points B , C , E and D are concyclic.

In the given figure,AE =DE and BC|AD . Prove that the points A,B,C and D are concyclic.Also,prove that the diagonals of the quadrilateral ABCD are equal.

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.

Statement 1: If the lines 2x+3y+19=0 and 9x+6y-17=0 cut the x -axis at A,B and the y-axis at C,D, then the points,A,B,C,D are concyclic.Statement 2: since OAxOB=OCxOD, where O is the origin,A,B,C,D are concyclic.

ABCD is a parallelogram. A circle passing through C and D intersects AD and BC at the points E and F. Prove that the four points E, A, B, F are concyclic.

Prove that the points A(4, 0), B(6, 1), C(4, 3) and D(3, 2) are concyclic.

ABCD is parallelogram A circle passing through the points A and B intersect the sides AD and BC at the points E and F repectively . Prove that the four points E, F , C ,D are concyclic.