Question

Which two triangles are congruent by the AAS Theorem? Complete the congruence statement.DCBJKIUTV△≅△

Answer 1

When 2 angles and a non included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are congruent. Looking at the triangles

Triangle BCD has 2 angles and a non included side

Triangle VTU has 2 angles and a non included side

The similar marks on the angles and sides shows that they are congruent. Thus, by AAS rule,

Triangle BCD is congruent to triangle VTU