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in Triangles by (34.5k points)
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The adjacent figures state ……………criterion of similarity.

(A) AAA 

(B) SSS

(C) SAS 

(D) ASA

2 Answers

+1 vote
by (57.0k points)
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Best answer

Correct option is (C) SAS

\(\because\) Given that \(AB=DE\;\&\;AC=DF\)

and \(\angle BAC=\angle EDF\)

\(\therefore\) \(\frac{AB}{DE}=1\;\&\;\frac{AC}{DF}=1\)

\(\Rightarrow\) \(\frac{AB}{DE}=\frac{AC}{DF}\)    ______________(1)

Now, in triangles \(\triangle ABC\;\&\;\triangle DEF\)

\(\angle BAC=\angle EDF\)       (Given)

And \(\frac{AB}{DE}=\frac{AC}{DF}\)           (From (1))

\(\therefore\) \(\triangle ABC\sim\triangle DEF\)   (By SAS criterion of similarity)

+1 vote
by (35.6k points)

Correct option is: (C) SAS

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