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Question

In ABC and DEF,BF,F=C and AB=3DE then which of the statements regarding to two triangle is ture?

A
The triangles are not congruent and not similar
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B
The triangles are similar but not congruent
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C
The triangles are congruent and similar.
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D
None of the statement above is true.
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Solution

The correct option is B The triangles are similar but not congruent
Given: B=E,F=C and AB=3DEABDE=31
Proof: In ABC and DEF
B=E
C=F
ABCDEF[By AA criteria]
Since there is no any congruency criteria like AA.
Thus, ABC and DEF are not congruent.
Hence, the given triangles are similar but not congruent.
So, B is the correct option.

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