If in a cyclic quadrilateral `ABCD, AB=DC`, then prove that AC=BD

ABCD is a cyclic quadrilateral. If AB = DC, then prove that AC= BD.

If in the cyclic quadrilateral AB||CD , then prove that AD =BC and AC=BD.

In the the cyclic quadrilateral ABCD,AB =CD . Prove that AC= BC

In cyclic quadrilateral ABCD, AD|| BC. Prove that AB = CD.

If ABCD is a cyclic quadrilateral, then prove that AC.BD=AB.CD+BC.AD

In a cyclic quadrilateral ABCD, AB = BC, AD = DC, AC_|_BD, angleCAD=theta . Then angleABC will be-

In a cyclic quadrilateral ABCD,diagonal AC bisects /_C. Prove that the tangent to thecircle at A is parallel to the diagonal BD.

In a quadrilateral ABCD, AB= AD and CB = CD, prove that AC is perpendicular bisector of BD.

In a quadrilateral ABCD, AB= AD and CB= CD. Prove that: AC is perpendicular bisector of BD

In a quadrilateral ABCD, AB = AD and CB = CD. Prove that : (i) AC bisects angle BAD (ii) AC is perpendicular bisector of BD.