Question

Please help asap! If ∠A ≅ ∠D and ∠C ≅ ∠F, which additional statement does NOT allow you to conclude that ΔABC ≅ ΔDEF ?

A) BC ≅ EF
B) ∠B ≅ ∠E
D) AC ≅ DF

Answer 1

The answer is B. Angle B is congruent to angle E. Because 3 angles being congruent to two triangles does not prove that the triangles are congruent

Answer 2

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.