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Triangle Similarity Theorems and Examples

Learn about Angle-Angle (AA), Side-Side-Side (SSS), and Side-Angle-Side (SAS) similarity theorems for triangles, with examples and homework practice. Explore how triangle angles and sides determine similarity.

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Triangle Similarity Theorems and Examples

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  1. Module 16: Lesson 4AA Similarity of Triangles Angle-Angle (AA) Triangle Similarity Theorem If 2 angles of one triangle are congruent to 2 angles of another triangle, then the 2 triangles are similar. See example #2 on page 863

  2. Side-Side-Side (SSS) Triangle Similarity Theorem If all 3 sides of one triangle are proportional to all 3 corresponding sides of another triangle, then the 2 triangles are similar. See example #3B on page 865

  3. Side-Angle-Side (SAS) Triangle Similarity Theorem If 2 sides of one triangle are proportional to 2 corresponding sides of another triangle AND the included angles are congruent, then the 2 triangles are similar. See example #3A on page 865

  4. Homework pages 867-871 #’s 1-15, 17-18 (all)

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