In ABC and DEF, AB EF, BC DE and B E 90°. Then ABC FED by the criterion

Correct option is C

Triangle ABC is congruent to triangle FED by the (c) RHS (Right-Hand Side) criterion.
The RHS criterion states that two right triangles are congruent if the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of the other triangle.  
In this case:  
· Both triangles are right triangles (Angle B = Angle E = 90°)
· AB = EF (hypotenuse of both triangles)
· BC = DE (one leg of both triangles)
Therefore, the conditions for the RHS criterion are met, and the two triangles are congruent.
Information Booster:
1. RHS criterion applies specifically to right-angled triangles, where the hypotenuse and one corresponding side are equal.
2. SSS (Side-Side-Side) requires all three sides to be equal, which is not given here.
3. SAS (Side-Angle-Side) requires two sides and the included angle to be equal, which does not apply here as the included angle is not provided.
4. ASA (Angle-Side-Angle) requires two angles and the included side to be equal, which also does not apply in this case.