What is the best way for solving the question from class 9th ncert math of Quadrilaterals chapter of Ncert of exercise 8.1of math. What is the best way for solving this question please guide me the best way for solving this question. In ΔABC and ΔDEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. 8.22). (iii) AD || CF and AD = CF (iv) quadrilateral ACFD is a parallelogram (v) AC = DF
(iii) Since ABED and BEFC are parallelograms.
⇒ AD = BE and BE = CF (Opposite sides of a parallelogram are equal)
, AD = CF.
Also, AD || BE and BE || CF (Opposite sides of a parallelogram are parallel)
, AD || CF
(iv) AD and CF are opposite sides of quadrilateral ACFD which are equal and parallel to each other. Thus, it is a parallelogram.
(v) Since ACFD is a parallelogram
AC || DF and AC = DF