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Q.

In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are :

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a

Similar but not Congruent

b

Congruent as well as similar

c

Neither congruent nor similar

d

Congruent but not similar

answer is B.

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Detailed Solution

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In △ABC and △DEF
∠B=∠E (given)
∠C=∠F (Given)
∠A=∠D (third angle) 
Thus, △ABC ∼ △DEF (AAA rule)
Given, AB = 3DE Since, AB = DE
The two triangles are similar but not congruent.

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In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are :