Question

which postulate or theorem proves that △ cfe and △ dfe are congruent? hl congruence theorem sas congruence postulate aas congruence theorem sss congruence postulate

Explanation:

From the diagram: $\triangle CFE$ and $\triangle DFE$ are right triangles (right angle at $E$). The hypotenuse $CF = DF$ (implied by the triangle structure), and leg $FE$ is common to both triangles. The HL Congruence Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the triangles are congruent. This matches the given conditions.

Answer:

HL Congruence Theorem