Question

Write all possible pairs of similar triangles.

Answer 1

Given: $DE\parallel BC$,
In $△ADM$ and $△ABN$,
$\angle DAM=\angle BAN$ (Common angle)
$\angle ADM=\angle ABN$ (Corresponding angles)
$\angle AMD=\angle ANB$ (Corresponding angles)
Thus, $△ADM\sim △ABN$ (AAA rule)
Similarly, $△AME\sim △ANC$ and $△ADE\sim △ABC$