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6.5 – Prove Triangles Similar by SSS and SAS

6.5 – Prove Triangles Similar by SSS and SAS. Goal: You will use the SSS and SAS Similarity Theorems. proportional. Example 1: Is either ∆ DEF or ∆ GHJ similar to ∆ ABC?. Step 1 : Compare ∆ ABC and ∆ DEF by finding ratios of corresponding side lengths.

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6.5 – Prove Triangles Similar by SSS and SAS

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  1. 6.5 – Prove Triangles Similar by SSS and SAS Goal: You will use the SSS and SAS Similarity Theorems.

  2. proportional

  3. Example 1:Is either ∆ DEF or ∆ GHJ similar to ∆ ABC? Step 1: Compare ∆ ABC and ∆ DEF by finding ratios of corresponding side lengths. Shortest sidesLongest sidesRemaining sides Step 2: Compare ∆ ABC and ∆ GHJ by finding ratios of corresponding side lengths. Shortest sidesLongest sidesRemaining sides • ___________ is similar to ∆ ABC

  4. Example 2: Is either triangle DEF or triangle GHJ similar to triangle ABC?

  5. Example 3: Find the value of x that makes triangle ABC ~ triangle DEF.

  6. Use the SAS Similarity Theorem Example 4: Example 5: Is ∆ FDM ~ ∆AVQ? Is ∆ GHK ~ ∆ NMK?

  7. Triangle Similarity Postulate and Theorems

  8. Choose a method Example 6: Tell what method you would use to show that the triangles are similar.

  9. Choose a method Example 7: Explain how you can show that ∆ JKL ~ ∆ LKM.

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