Given: ∠bcd is right; bc ≅ dc; df ≅ bf; fa ≅ fe which relationships in the diagram are true? check all that apply.
△acf ≅ △ecf by hl
△cbf ≅ △cdf by sss
△bfa ≅ △dfe by sas
△cfd ≅ △efd by sss
△cbe ≅ △cda by hl

STATEMENT 1: Incorrect 
Refer to the picture 1 below
Triangle ACF is congruent to triangle ECF by the property of SAS

STATEMENT 2: Correct
Refer to Picture 2 below
Triangle CBF is congruent triangle CDF by the property SSS

STATEMENT 3: Correct
Refer to Picture 3 below
Triangle BFA is congruent to triangle DFE by SAS

STATEMENT 4: Incorrect
Refer to Picture 4
There are no equal sides from both triangles, hence triangle CFD and triangle EFD are not congruent.

STATEMENT 5: Correct
Refer to Picture 5
Triangle CBE is congruent to triangle CDA by the properties of HL