Question

Question 11 (i)
In $\Delta ABC$ and $\Delta DEF$ ,AB=DE, AB || DE, BC =EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that Quadrilateral ABED is a parallelogram.

Answer 1

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.