Question

diagonal ACof quadrilateral ABCD bisects angle A and angle C prove that AB=AD and CB=CD

Answer 1

angle BAC= ang DAC , ang BCA = ang DCA because AC is a angle bisector
ang BAC = ang DAC,
ang BCA = ang DCA,
and side AC is common
both triangles are congruent

and ang D and ang B are equal and side AB = AD , CB = CD are equal also