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In ∆ABC & ∆DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE then the two triangles are 

(A) congruent but not similar 

(B) similar but not congruent 

(C) neither congruent nor similar 

(D) congruent as well as similar

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Best answer

Correct option is (B) similar but not congruent 

In \(\triangle A B C\) and \(\triangle D E F\)

\(\angle B=\angle E \text { [Given] }\)

\(\angle C=\angle F \text { [Given] }\)

\(\angle A=\angle D \text { [third angle] }\)

Thus, \(\triangle A B C\) ~ \(\triangle D F F\) (AAA similar rule)

Given,

AB = 3DE

Since, \(A B \neq D E\)

\(\therefore\) The two triangles are Similar but not Congruent.

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