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) $\small \Delta ABC\cong \Delta DEF$

Views

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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