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Triangle Similarity Postulates

Learn about the Triangle Similarity Postulates such as Angle-Angle (AA), Side-Side-Side (SSS), and Side-Angle-Side (SAS). Understand how these postulates determine when triangles are similar and how corresponding sides and angles play a role in similarity.

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Triangle Similarity Postulates

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  1. Triangle Similarity Postulates AA, SSS, SAS

  2. Angle-Angle Similarity Postulate Angle-Angle (AA) If two angles of one triangle are congruent to two angles of another, then the triangles must be similar.

  3. Side-Side-Side Similarity Theorem Side-Side-Side (SSS) If the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar.

  4. the lengths of the sides including these angles are Side-Angle-Side Similarity Theorem Side-Angle-Side (SAS) If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles must be similar. If an angle of one triangle is congruent to an angle of a second triangle and proportional, then the triangles must be similar.

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