Q

# In ∆ ABC and ∆ 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 Fig. 8.22). Show that (i) quadrilateral ABED is a parallelogram

Q : 10    In $\small \Delta ABC$ and $\small \Delta DEF$,  $\small AB=DE,AB\parallel DE,BC=EF$ and  $\small BC\parallel EF$. Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. $\small 8.22$). Show that

(i) quadrilateral ABED is a parallelogram

Views

Given :  In $\small \Delta ABC$ and $\small \Delta DEF$,  $\small AB=DE,AB\parallel DE,BC=EF$ and    $\small BC\parallel EF$.

To prove :  quadrilateral ABED is a parallelogram

Proof : In ABED,

AB=DE          (Given)

AB||DE            (Given )

Hence, quadrilateral ABED is a parallelogram.

Exams
Articles
Questions