Final answer:
The question asks for the true statement when a translation map ∠E onto ∠A. Without a clear diagram or additional details, it's impossible to determine which of the provided statements is correct. Translations maintain congruency of angles and sides, but the positions of the other points are crucial to identify the true statement.
Step-by-step explanation:
If a translation map ∠E onto ∠A, it means that the entire figure is shifted in the plane without rotation or reflection. Therefore, corresponding angles and sides will be congruent. This is a fundamental property of translations in geometry. Without the specific details of points B, C, and D in relation to points E and A, and without a diagram, it is difficult to determine with certainty which statement is true. However, based on general knowledge, if ∠B is corresponding to ∠C or ∠D after the translation, then they would be congruent. Similarly, if segment CE corresponds to segment CA or if segment CD corresponds to segment CB under translation, they would be congruent too.
Translations maintain angles and side lengths, so it is essential to have the positions of points B, C, and D in relation to the translated points to answer accurately. The given information in the reference texts does not directly provide an answer to the question on which statements would be true if ∠E maps onto ∠A through a translation.