Answer: Translate triangle ABC so that point B lies on point D to confirm ∠B ≅ ∠D.
Step-by-step explanation: Since we already know that angle A is congruent to itself by the reflexive property, all we need is another pair of corresponding angles to be congruent according to the AA (angle-angle) similarity postulate. This postulate states that; If two corresponding angles of two or more triangles are congruent, the triangles are similar. So when we translate triangle ABC so that point ∠B lies on ∠D, we prove that these two angles are congruent.