All questions please.
(i) It is given that AB = DE and AB || DE.
If two opposite sides of a quadrilateral are equal and parallel to each other, then it will be a parallelogram.
Therefore, quadrilateral ABED is a parallelogram.
(ii) Again, BC = EF and BC || EF
Therefore, quadrilateral BCEF is a parallelogram.
(iii) As we had observed that ABED and BEFC are parallelograms, therefore
AD = BE and AD || BE
(Opposite sides of a parallelogram are equal and parallel)
And, BE = CF and BE || CF
(Opposite sides of a parallelogram are equal and parallel)
∴ AD = CF and AD || CF
(iv) As we had observed that one pair of opposite sides (AD and CF) of quadrilateral ACFD are equal and parallel to each other, therefore, it is a parallelogram.
(v) As ACFD is a parallelogram, therefore, the pair of opposite sides will be equal and parallel to each other.
∴ AC || DF and AC = DF
(vi) ΔABC and ΔDEF,
AB = DE (Given)
BC = EF (Given)
AC = DF (ACFD is a parallelogram)
∴ ΔABC ≅ ΔDEF (By SSS congruence rule)