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Prove certain triangles are similar by using AA, SSS, and SAS.

Objectives. Prove certain triangles are similar by using AA, SSS, and SAS. Use triangle similarity to solve problems. Example 1A: Using the AA Similarity Postulate. Explain why the triangles are similar and write a similarity statement. Check It Out! Example 1B. Explain why the triangles

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Prove certain triangles are similar by using AA, SSS, and SAS.

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  1. Objectives Prove certain triangles are similar by using AA, SSS, and SAS. Use triangle similarity to solve problems.

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

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

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

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

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

  7. Example 3A: Finding Lengths in Similar Triangles Explain why ∆ABE ~ ∆ACD, and then find CD. Step 1 Prove triangles are similar.

  8. Example 3A Continued Step 2 Find CD.

  9. Check It Out! Example 3B Explain why ∆RSV ~ ∆RTU and then find RT. Step 1 Prove triangles are similar.

  10. Check It Out! Example 3B Continued Step 2 Find RT.

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