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

In a quadrilateral ABCD, AB= AD and CB= CD. Prove that: AC bisects angle BAD

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

In a quadrilateral ABCD, AB = CD and angle B = angle C . Prove that AC = AB

In a quadrilateral ABCD, AB = CD and angle B = angle C . Prove that AD is parallel to BC.

In quadrilateral ABCD, AD = BC and BD = CA. Prove that : (i) angle ADB = angle BCA (ii) angle DAB = angle CBA

In Delta ABC, AB =AC and D is a piont in side BC such that AD bisect angle BAC. Show that AD is perpendicular bisector of side BC.

If ABCD is a quadrilateral such that AB = AD and CB = CD , then prove that AC is the perpendicular bisector of BD .

In DeltaABC, AB = AC and D is a point in BC so that BD=CD . Prove that AD bisects angleBAC .

In a tringle ABC, AB = AC and bisector of angle A meets BC at D. Prove that : (i) DeltaABD cong DeltaACD (ii) AD is perpendicular to BC.

In parallelogram ABCD, the bisector of angle A meets DC at P and AB = 2AD. Prove that : (i) BP bisects angle B. (ii) Angle APB = 90^(@)