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Objectives: Use and apply AA, SAS, and SSS similarity statements

Section 8-3 Advanced Triangles SPI 31A: identify corresponding parts of similar and congruent geometric figures. Objectives: Use and apply AA, SAS, and SSS similarity statements. 3 Methods to Determine if Triangles are Similar

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Objectives: Use and apply AA, SAS, and SSS similarity statements

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  1. Section 8-3 Advanced Triangles SPI 31A: identify corresponding parts of similar and congruent geometric figures • Objectives: • Use and apply AA, SAS, and SSS similarity statements 3 Methods to Determine if Triangles are Similar 1. Angle-Angle (AA~) Similarity Postulate 2. Side-Side-Side (SSS~) Similarity Thm 3. Side-Angle-Side (SAS~) Similarity Thm

  2. Angle-Angle (AA~) Similarity Thm AA~ Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. Remember to name triangle similarity by corresponding sides or angles

  3. Do Now Using (AA~) Similarity Theorem Explain why the triangles are similar and write a similarity statement. R  V Given (measures are equal) RSW  VSB Vertical s ∆RSW ~ ∆VSB AA~ Postulate

  4. Side-Angle-Side (SAS~) Similarity Thm SAS~ Similarity Theorem If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar. ABC  EBD Vertical angles AB = 12 = 2 EB 18 3 CB = 16 = 2 DB 24 3 Proportional ∆ABC ~ ∆EBD by SAS ~

  5. Side-Side-Side (SSS~) Similarity Thm SSS~ Similarity Theorem If the corresponding sides of two triangles are proportional, then the triangles are ~. Are all sides proportional?

  6. Indirect Measurement using Similarity Explain why the triangles are ~, then find the distance represented by x. AA~ Postulate; 220 yards

  7. Web Site Practice

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