Question

Determine whether or not there is a congruence between △abc and △def. if there is such a congruence, then give the reason for it. if no such congruence exists, choose none. m∠b=m∠f, ab=de, ac=df

Answer 1

There is no congruence between the triangles based on the given information. In general, two sides and an angle not between them are insufficient to specify the triangle completely. In this case, the angles that are congruent are adjacent to non-corresponding sides, so even if SSA correspondence were sufficient to ensure congruence, it would not be sufficient in this case.

The appropriate choice is

... none