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Triangle Similarity: AA, SSS, and SAS. 7-3. Warm Up. Lesson Presentation. Lesson Quiz. Holt Geometry. There are several ways to prove certain triangles are similar. Example 1: Using the AA Similarity Postulate. Explain why the triangles are similar and write a similarity statement.

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7-3

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  1. Triangle Similarity: AA, SSS, and SAS 7-3 Warm Up Lesson Presentation Lesson Quiz Holt Geometry

  2. There are several ways to prove certain triangles are similar.

  3. Example 1: Using the AA Similarity Postulate Explain why the triangles are similar and write a similarity statement.

  4. Check It Out! Example 1 Explain why the triangles are similar and write a similarity statement.

  5. Example 2A: Verifying Triangle Similarity Verify that the triangles are similar. ∆PQR and ∆STU

  6. Example 2B: Verifying Triangle Similarity Verify that the triangles are similar. ∆DEF and ∆HJK

  7. Check It Out! Example 2 Verify that ∆TXU ~ ∆VXW.

  8. Example 3: Finding Lengths in Similar Triangles Explain why ∆ABE ~ ∆ACD, and then find CD.

  9. Check It Out! Example 3 Explain why ∆RSV ~ ∆RTU and then find RT.

  10. The photo shows a gable roof. AC || FG. ∆ABC ~ ∆FBG. Find BA to the nearest tenth of a foot. Example 5: Engineering Application

  11. You learned in Chapter 2 that the Reflexive, Symmetric, and Transitive Properties of Equality have corresponding properties of congruence. These properties also hold true for similarity of triangles.

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