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 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 .

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

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) .

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) .

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 a \ A B C ,\ A D bisects /_A\ a n d\ /_C >/_Bdot Prove that /_A D B >\ /_A D C .

B D is one of the diagonals of a quadrilateral A B C Ddot\ \ A M\ a n d\ C N are the perpendiculars from A\ a n d\ C , respectively, on B Ddot Show That a r\ (q u a ddotA B C D)=1/2B Ddot(A M+C N)

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

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

In Figure, A E bisects /_C A D\ a n d\ /_B=/_Cdot Prove that A E||B C