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 (ii) quadrilateral BEFC is a parallelogram

Q : 11       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

(ii) quadrilateral BEFC 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 BEFC is a parallelogram

Proof: In BEFC,

BC=EF          (Given)

BC||EF            (Given )

Hence, quadrilateral BEFC is a parallelogram.

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