State which pairs of triangles in the figure are similar. Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form.
(NONE) In $\triangle LMP$ and $\triangle DEF$:
$\frac{LM}{DE} = \frac{2.7}{4} = 0.675$
$\frac{LP}{DF} = \frac{3}{6} = 0.5$
$\frac{MP}{EF} = \frac{2}{5} = 0.4$
Since the ratios of the corresponding sides are not equal (i.e.,$\frac{LM}{DE} \neq \frac{LP}{DF} \neq \frac{MP}{EF}$),the two triangles are not similar.
$\frac{LM}{DE} = \frac{2.7}{4} = 0.675$
$\frac{LP}{DF} = \frac{3}{6} = 0.5$
$\frac{MP}{EF} = \frac{2}{5} = 0.4$
Since the ratios of the corresponding sides are not equal (i.e.,$\frac{LM}{DE} \neq \frac{LP}{DF} \neq \frac{MP}{EF}$),the two triangles are not similar.
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