In and , it is given that = , = and AB=3DE, then the two triangle… - Vidyadip

MCQ

In $\triangle\text{ABC}$ and $\triangle\text{DEF},$ it is given that $\angle\text{B}=\angle\text{E},\angle\text{F}=\angle\text{C}$ and $\text{AB}=3\text{DE},$ then the two triangles are :

A
Congruent but not similar
✓
Similar but not congruent
C
Neither congruent not similar
D
Similar as well as congruent

✓

Answer

Correct option: B.

Similar but not congruent

In $\triangle\text{ABC}$ and $\triangle\text{DEF},$
It is given that $\angle\text{B}=\angle\text{E},\angle\text{F}=\angle\text{C},$ and hence $\angle\text{A}=\angle\text{D}$
So, the two triangles are similar.
Since $AB = 3DE$
$\Rightarrow\text{AB}\not=\text{DE}$
So, the triangles are not congruent.
Thus, the two triangles are similar, but not cogruent.

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