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in Triangles by (32.1k points)
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In ∆ABC and ∆DEF, it is given that ∠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) similar as well as congruent

1 Answer

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by (32.2k points)
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Best answer

(b) similar but not congruent 

In ∆ABC and ∆DEF, we have: 

∠B = ∠B  ∠F = ∠C 

Applying AA similarity theorem, we conclude that ∆ABC - ∆DEF. 

Also, 

AB = 3DE 

⇒ AB ≠ DE 

Therefore, ∆ABC and ∆DEF are not congruent.

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