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

If D is the mid-point of the side B C of a triangle A B C , prove that vec A B+ vec A C=2 vec A Ddot

In a quadrilateral A B C D , prove that A B^2+B C^2+C D^2+D A^2=A C^2+B D^2+4P Q^2, where P and Q are middle points of diagonals A C and B Ddot

In Figure, A N and C P are perpendicular to the diagonal B D of a parallelogram A B C Ddot Prove that : A D N~= C B P (ii) A N=C P

In Figure, A N and C P are perpendicular to the diagonal B D of a parallelogram A B C Ddot Prove that : A D N~= C B P (ii) A N=C P

In Figure, it is given that A B=C F ,E F=B D and /_A F E=/_C B Ddot Prove that A F E~=C B Ddot

In a rectangle A B C D ,\ \ A B=20 c m ,\ \ /_B A C=60o , calculate side B C and diagonals A C and B D .

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

In a rectangle A B C D ,\ \ A B=20 c m , /_B A C=60^@ . Calculate side B C .

In a triangle A B C ,\ \ A D_|_B C and A D^2=B DxxC Ddot Prove that A B C is a right triangle.

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