The diagonals of quadrilateral `A B C D ,\ A C\ a n d\ B D` intersect in `O`. Prove that if `B O=O D ,` the triangles `A B C\ a n d\ A D C` are equal in area.

The diagonals of quadrilateral A B C D ,A C and B D intersect in Odot Prove that if B O=O D , the triangles A B C and A D C are equal in area. GIVEN : A quadrilateral A B C D in which its diagonals A C and B D intersect at O such that B O = O Ddot TO PROVE : a r( A B C)=a r( A D C)

The diagonals of quadrilateral A B C D intersect at O . Prove that (a r( A C B))/(a r( A C D))=(B O)/(D O)

In Figure, diagonal A C of a quadrilateral A B C D bisects the angles A and C . Prove that A B=A D and C B=CD .

A B C D is a square. A C\ a n d\ B D intersect at O . State the measure of /_A O B .

In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect at O such that /_A O B=75^0, then write the value of /_C+\ /_D

In Figure, diagonal A C of a quadrilateral A B C D bisects the angles A\ a n d\ C . Prove that A B=A D\ a n d\ C B=C D

In the figure, diagonal A C of a quadrilateral A B C D bisects the angles A and C . Prove that A B=A D and C B=CD

Diagonals A C and B D of a quadrilateral A B C D intersect at O in such a way that a r(triangle A O D)=a r(triangle B O C) . Prove that A B C D is a trapezium.

The diagonals of a rectangle A B C D\ meet at O . If /_B O C=44^0, find /_O A D

If the diagonal B D of a quadrilateral A B C D bisects both /_B and /_D , show that (A B)/(B C)=(A D)/(C D) .