Answer: The answer is (A) and (B).
Step-by-step explanation: We are given two triangles ΔABC and ΔDEF, where ∠A ≅ ∠D and ∠C ≅ ∠F, We are to select the correct additional statement from the given options that will NOT allow us to conclude that ΔABC ≅ ΔDEF.
Since two angles of one triangle are congruent to the corresponding two angles of the other triangle, so the only congruence rule we can use is side-angle-side postulate.
For that we need that AC ≅ DF.
The other two conditions will not allow us to conclude that ΔABC ≅ ΔDEF.
Thus, (A) and (B) are the correct options.
