Answer:
A) AAS
B) HL
C) SSS
E) SAS
Explanation:
We cannot prove the triangles congruent by AAS because we would need another angle pair that is congruent to each other.
We can prove the triangles congruent by HL because the pairs of hypotenuses and shorter legs are shown to be congruent to each other.
We can prove the triangles are congruent by SSS because every side is congruent to its respective pair.
We cannot prove the triangles congruent by HA because we would need another angle pair that is congruent to each other, like with AAS.
We can prove the triangles are congruent by SAS because two pairs of sides in addition to their respective included angles (the right angles) are congruent to each other.
We cannot prove the triangles congruent by LA because we would need to know by the given information that ∠B≅∠E, but it's not provided.
Therefore, A, B, C, and E are the correct answers.