The correct answer is:
B) segment BC ≅ segment EF.
Explanation:
ASA is "angle-side-angle"; it means that two angles and the included side of one triangle are congruent to the corresponding two angles and included side of the second triangle.
Since we know that ∠B ≅ ∠E and ∠C ≅ ∠F, and these are adjacent angles, this means the side between each pair of angles must be congruent in each triangle. These are segments BC and EF, which gives us our answer.