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Understanding Triangle Similarity with SSS and SAS Criteria

Learn how to determine triangle similarity using Side-Side-Side (SSS) and Side-Angle-Side (SAS) criteria with practical examples. Identify similarities and solve for unknown values in triangles. Construct a lean-to shelter simliarly.

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Understanding Triangle Similarity with SSS and SAS Criteria

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  1. Lesson 6.5 Goal: The learner will use SSS and SAS similarity.

  2. Side-Side-Side Similarity • If the corresponding sides of 2 triangles are proportional, then the triangles are similar. A R B C S T

  3. Which one is similar to ΔABC?

  4. What value for x makes ΔABC~ΔDEF?

  5. 1.Which of the three triangles are similar? Write a similarity statement. You do it.

  6. Side-Angle-Side Similarity • If an angle of 1 triangle is congruent to an angle of a 2nd triangle and lengths of the sides forming the included angle are proportional, then the triangles are similar. X M ΔXYZ~ΔMNP P N Z Y

  7. XZW ~ YZX Show the triangles are similar.

  8. Lean-to Shelter You are building a lean-to shelter starting from a tree branch, as shown. Can you construct the right end so it is similar to the left end using the angle measure and lengths shown?

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