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One More Week Until Break..

One More Week Until Break. Take out a red pen Tonight’s Homework Finish FACIng Geometry. 3 Things. Quizzes. With a partner, you are going to grade the quiz that you have using ONLY a red pen. If you are not sure of an answer, look in your notes! You will NOT have your quiz.

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One More Week Until Break..

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  1. One More Week Until Break.. • Take out a red pen Tonight’s Homework • Finish FACIng Geometry

  2. 3 Things

  3. Quizzes With a partner, you are going to grade the quiz that you have using ONLY a red pen. If you are not sure of an answer, look in your notes! You will NOT have your quiz

  4. Quizzes Write down one thing that they did well on. Write down one thing that they need to work on.

  5. Quizzes Now, we are going to go over them as a class. Correct it in a red pen. Only mark down questions that they missed. I will grade the proof.

  6. Similarity Test In IC, I put the test out of 40 points. A: 36-40 B: 32-35.5 C: 28- 31.5 Below a C, please come see me

  7. Take out your notes from Wednesday and Thursday…

  8. 5-8: 45-45-90 Example 2 Ms. Huls wants to make a bandana for her dog by folding a square cloth into a 45-45-90 triangle. Her dog’s neck is about 32 cm around. The folded bandana needs to be an extra 16 cm long so that Ms. Huls can tie it around her dog’s neck. What should the side length of the square be? Round to the nearest centimeter.

  9. 5-8 30-60-90 Example 2 In bowling, the pins are arranged in a pattern based on equilateral triangles. What is the distance between pins 1 and 5?

  10. Whiteboards • Write a similarity statement comparing the two triangles 3. 4. 2x2 = 50

  11. Learning Goal You will be able to: • Use geometric mean to find segment lengths in right triangles. • Apply similarity relationships in right triangles to solve problems.

  12. In a right triangle, an altitude drawn from the vertex of the right angle to the hypotenuse forms two right triangles.

  13. W Z Example 1: Identifying Similar Right Triangles Write a similarity statement comparing the three triangles. Sketch the three right triangles with the angles of the triangles in corresponding positions. By Theorem 8-1-1, ∆UVW ~ ∆UWZ ~ ∆WVZ.

  14. Geometric Mean • Positive square root of the product of two positive numbers or x2 = ab.

  15. Example 2: Find the Geometric Mean Find the geometric mean of each pair of numbers. If necessary, give the answer in simplest radical form. 4 and 25

  16. Whiteboards Find the geometric mean of each pair of numbers. If necessary, give the answer in simplest radical form. 5 and 30

  17. Whiteboards Find the geometric mean of each pair of numbers. If necessary, give the answer in simplest radical form. 8 and 9

  18. You can use Theorem 8-1-1 to write proportions comparing the side lengths of the triangles formed by the altitude to the hypotenuse of a right triangle.All the relationships in red involve geometric means.

  19. EX 3: Finding Side Lengths in Right Triangles Find x, y, z

  20. Whiteboards Find u, v, and w

  21. Example 4: Measurement Application What is the height of the cliff to the nearest foot?

  22. Whiteboards For Items 1–4, use ∆RST. Write a similarity statement comparing the three triangles. If PS = 6 and PT = 9, find PR. 3.If TP = 24 and PR = 6, find RS. 4.Complete the equation (ST)2 = (TP + PR)(?).

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