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Bell work, with a partner

Bell work, with a partner. Today’s Goal(s). Use Similar Triangles to solve real world problems Identify Similar Right Triangles Calculate Geometric Mean Use Theorems about R ight Triangles to simplify problems. Are They Similar?. Are They Similar? (Front Side).

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Bell work, with a partner

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  1. Bell work, with a partner

  2. Today’s Goal(s) • Use Similar Triangles to solve real world problems • Identify Similar Right Triangles • Calculate Geometric Mean • Use Theorems about Right Triangles to simplify problems

  3. Are They Similar?

  4. Are They Similar? (Front Side) • With your shoulder partner, examine the two triangles. They appear similar, but we would like to prove that they are, using one of our theorems. • In each part of the problem (a-d), some additional information is given. Based only on that information and the picture, can you prove the two triangles are similar?

  5. Are They Similar? (Part 2) • With your shoulder partner, construct the altitude from point B. Examine the three triangles in the picture(the original, plus two new triangles inside of it), and determine what relationships they have. • What type of triangles is each? Are there congruent angles? Are any triangles congruent? Similar? Etc.

  6. Discuss

  7. 7.4: Similarity in Right Triangles

  8. What relationships do the three triangles in the diagram below have?

  9. The Geometric Mean of any two numbers a and b is a positive number x such that

  10. Finding the Geometric Mean • What is the Geometric Mean of 6 and 15? • What is the Geometric Mean of 4 and 18?

  11. Find the Geometric Mean • What is the Geometric Mean of 7 and 9? • What is the Geometric Mean of 5 and 125?

  12. What are the values of x and y?

  13. What are the values of x and y?

  14. Find the values of x and y

  15. This is a side-view drawing of the type that architects use when designing a house. The support post shown needs to be 10 feet tall. How far from the front of the house will the post need to be placed?

  16. Homework • Section 7.4, pages 464-465: 1, 2, 7, 9, 10, 18, 19 • Honors: Add 29, 30 • Quiz Thursday!

  17. 9,10. Identify all similar triangles in each picture

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