Let ABC be a triangle, with M the midpoint of BC, and DEF a triangle, with N the midpoint of EF. Suppose that angle BAM equals angle EDN and angle CAM equals angle FDN. Show that triangles ABC and DEF are similar.

(In reply to A different way by Old Original Oskar!)

I get your assumption that AM=DN, but can you explain central symmetry?  A voter said this problem is "D2 difficulty, tops".  I am just a novice at geometry.

Posted by McWorter on 2005-08-19 22:43:01