PLEASE HELP Given that ABCD is a parallelogram, what must be proven to prove that the diagonals bisect each other?A) ΔACD≅ΔABD B) AB||CD C) AD≅CB D) AO≅ODPLEASE EXPLAIN WHY AND CHOOSE FROM THE AWNSER CHOICES GIVEN

Answer with explanation:To prove that , the diagonals of Parallelogram ,A B CD,Bisect each otherThat is, 1. A O=OD    2. BO=O CWe need to prove ,that either of two triangles 1. ΔA OB ≅ Δ DOCor2.  ΔA O C ≅ Δ DOBWe will prove ,ΔA OB ≅ Δ DOC , in the following way. 1.∠A OB ≅ ∠ DOC→→→[Vertically Opposite angles] 2. AB=CD →→→[Opposite sides of parallelogram]3. ∠BAD=∠C DA→[As, AB║CD,so Alternate interior angles are equal.]⇒ΔA OB ≅ Δ DOC→→→ [A A S]So, A O=OD→→[C PCT]and, CO=OD→→[C PCT]Similarly,we can prove that, ΔA O C ≅ Δ DOB,and get    A O=ODand, CO=ODTo prove that,diagonals bisect each other of a Parallelogram,we need to prove D)  A O≅OD