Question

In $\Delta$ABC and $\Delta$DEF, AB$=$DE, AB$||$DE, BC$=$EF and BC$||$EF. Vertices A, B and C are joined to vertices D, E and F respectively. Show that $\Delta$ABC$\cong \Delta$DEF.

Answer 1

In $\Delta$ABC and $\Delta$DEF,
$AB\cong DE$ (Given)

$BC\cong EF$ (Given)

$\angle ABC\cong \angle DEF$ (Corresponding angles between two parallel lines)

$\therefore △ABC\cong △DEF$ (SAS criteria)