Question

 In ∆ABC and ∆DEF ∠B = ∠E, ∠F = ∠C and AB = 3DE then which of the statements regarding the two triangles is true ?

Options

• The triangles are not congruent and not similar 

• The triangles are similar but not congruent.

• The triangles are congruent and similar. 

• None of the statements above is true. 

Answer 1

In ∆ABC and ∆DEF 
∠B = ∠E,
∠F = ∠C
By AA test of similarity
∆ABC ~ ∆DEF
Since, there is not any congruency criteria like AA.
Thus, ∆ABC and ∆DEF are not congruent.
Hence, the correct option is The triangles are similar but not congruent.