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State SAS similarity criterion.

Question:

State SAS similarity criterion.

Solution:

SAS Similarity Criterion: If in two triangles, one pair of corresponding sides are proportional and the included angles are equal then two triangles are similar.

In ΔABC and ΔDEF, if

$\frac{\mathrm{AB}}{\mathrm{DE}}=\frac{\mathrm{AC}}{\mathrm{DF}}$ and

$\angle \mathrm{A}=\angle \mathrm{D}$

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

 

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