Final answer:
To prove triangles AEI and DEH are similar using the AA similarity postulate, it must be shown that two angles in AEI are congruent to two corresponding angles in DEH, making option A correct.
Step-by-step explanation:
The student has asked which option explains how triangles AEI and DEH could be proven similar using the AA similarity postulate. The AA (Angle-Angle) similarity postulate states that two triangles are similar if two angles of one triangle are congruent to two angles of the other triangle. Therefore, if it can be shown that two angles in triangle AEI are congruent to two corresponding angles in triangle DEH, then the triangles are similar by AA similarity. This confirms that the answer is A. Angle-Angle-Angle (AA).