Question

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

Answer 1

B,C,E

Explanation:

I JUST TOOK THE TEST!!!!

Answer 2

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