In the figure, diagonal AC of a quadrilateral ABCD bisects the angles A and C. Prove that AB = AD and CB = CD.

In Figure,diagonal AC of a quadrilateral ABCD bisects the angles A and C. Prove that AB=AD and CB=CD

If the diagonal BD of a quadrillateral ABCD bisects both angleB and angleD . Prove that (AB)/(BC)= (AD)/(CD) .

In the figure, diagonals AC and BD of quadrilateral ABCD intersect at 0 such that OB = OD. If AB = CD, then show that DA I I CB or ABCD is a parallelogram.

In the figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then show that ar( Delta DOC) = ar( Delta AOB)

If the diagonal BD of a quadrilateral ABCD bisects both /_B and /_D, show that (AB)/(BC)=(AD)/(CD)

In the adjoining figure, the diagonals AC and BD of a quadrilateral ABCD intersect point O. Prove that : AB+BC+CD+DA lt 2(AC+BD)

In quadrilateral ACBD,AC=AD and AB bisects angle A.Show that /_ABC~=/_ABD

The diagonal AC of a quadrilateral ABCD divides it into two triangles of equal areas. Prove that diagonal AC bisects the diagonal BD.

In the adjoining figure, the diagonals AC and BD of a quadrilateral ABCD intersect at O. If BO = OD , prove that ar(triangleABC)=ar(triangleADC) .