Question

State the criterion using which the above triangles are similar.

• A. AAA
• B. AAS
• C. SAS
• D. SSS

Answer 1

The correct option is D SSS

Let us first write the sides in proportions

$\frac{AC}{DF}=\frac{AB}{DE}=\frac{CB}{FE}\Rightarrow \frac{2}{1}=\frac{4}{2}=\frac{6}{3}\Rightarrow 2=2=2\therefore △ACB\sim △DFE$

We get all sides in proportion so the given triangles are similar by $SSS$ criterion .

Option $D$ is correct