Final answer:
The question contains elements of both geometry and physics, mentioning congruence correspondence criteria and similar triangles involving the movement of an astronaut and the frame of an Earth-bound observer. Without additional context or figures, a concrete answer to either subject cannot be given.
Step-by-step explanation:
The question seems to be a mix of two unrelated concepts: congruency criteria in geometry and a scenario involving relativity in physics. The reference to congruence correspondence suggests the student is asking about geometry and the ways to prove triangles congruent. The four options provided (SSS, AAS, SAS, ASA) are all methods for proving the congruence of triangles. In this case, the student most likely needs to know which criterion will prove given triangles are congruent based on information about sides and angles that they have. However, the details provided from figure 28.6(c) seem related to a physics concept involving time dilation and similar triangles formed by an astronaut and an Earth-bound observer, which is not directly related to the geometry question.
Without proper geometrical information or a specific figure, we cannot determine which congruence correspondence is correct for the given triangles. More context from the student's assignment would be required to provide an accurate answer to the geometry question. However, for the physics part, assuming the triangles formed by D, s, and L are indeed similar, the similarity could be used to find the relationship between Ato and At where 'At' is given as 25. But without further information or the actual Figure 28.6(c), an accurate explanation of this relationship cannot be provided.