In a Quadrilateral ABCD, AB=AD and CB=CD. Prove that: AC bisect angle BAD and AC is perpendicular bisector of BD. Selina class 9 Math ex 14C question 13

In a Quadrilateral ABCD, AB=AD and CB=CD. 

Prove that: (i) AC bisect angle BAD

(ii) AC is perpendicular bisector of BD