# Application of Similar Triangles

## Applications of Similar Triangles

**Similar triangles have congruent corresponding angles and proportional corresponding sides.**

There are three common sets of criteria for proving that triangles are similar:

- AA: If two triangles have two pairs of congruent angles, then the triangles are similar.

[Figure 1] - SAS: If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

[Figure 2] - SSS: If three sides of one triangle are proportional to three sides of another triangle, then the triangles are similar.

[Figure 3]

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