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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.
Solution
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.
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