# State SSS similarity criterion.

Question:

State SSS similarity criterion.

Solution:

SSS Similarity Criterion: If the corresponding sides of two triangles are proportional, then they are similar.

In ΔABC and ΔDEF, if

$\frac{\mathrm{AB}}{\mathrm{DE}}=\frac{\mathrm{BC}}{\mathrm{EF}}=\frac{\mathrm{AC}}{\mathrm{DF}}$

Then, $\triangle \mathrm{ABC} \sim \triangle \mathrm{DEF}$