Question

In $△ABC$ and $△DEF,AB=DE,AB\parallel DE,BC=EF$ and $BC\parallel EF$. Vertices $A,B$ and $C$ are joined to vertices $D,E$ and $F$ respectively. Show that Quadrilateral $ABED$ is a parallelogram.

Answer 1

It is given that $AB=DE$ and $AB\parallel DE$.

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.