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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 (vi) ∆ ABC ≅ ∆ DEF.

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

(vi) \small \Delta ABC\cong \Delta DEF

     

                
 

Answers (1)
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 In \small \Delta ABC and \small \Delta DEF,

            AB=DE                   (Given )

           BC=EF                    (Given )

          AC=DF                ( proved in (v) part)

     \small \Delta ABC\cong \Delta DEF        (By SSS rule)

    

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