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  • 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

                 
 

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best_answer

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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seema garhwal

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