Question

State which pair of triangles in figure are similar. Write the similarity criterion used by you for answering the question.

• A. $SSS$
• B. $AAA$
• C. $SAS$
• D. None of these

Answer 1

The correct option is D None of these

In $△LMP$ and $△DEF$,
$\frac{MP}{DE}=\frac{2}{4}=\frac{1}{2}$,
$\frac{LP}{DF}=\frac{3}{6}=\frac{1}{2}$,
$\frac{LM}{EF}=\frac{2.7}{5}\ne \frac{1}{2}$; i.e
$\frac{MP}{DE}=\frac{LP}{DF}\ne \frac{LM}{EF}$;
Thus the two triangles are not similar.