Assuming that the triangles shown are congruent, choose the correct correspondence

Solution:
Triangles are congruent if they have the same shape and size.Two triangles can be proved congruent by SSS,SAS,ASA .
The given triangles are congruent .We need to find the correct correspondence for angle E.
The given triangles can be proved congruent by ASA .<E wil equal to <R.In that case lines DE and RK will be parallel .
The right correspondence for <E is <R.