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Error Analysis

Error Analysis. 3:00. 2:00. M ODELING A R EAL- L IFE P ROBLEM.

lacey-bridges
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Error Analysis

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  1. Error Analysis 3:00 2:00 MODELING A REAL-LIFE PROBLEM GEOMETRY CONNECTION Two students are visiting the mysterious statues on Easter Island in the South Pacific. To find the heights of two statues that are too tall to measure, they tried a technique involving proportions. They measured the shadow lengths of the statues at 2:00 P.M. and again at 3:00 P.M.

  2. 7-4 Similarity in Right Triangles Lesson 7-4 GQ: What special relationships occur when you draw an altitude from the 90 degree angle to the hypotenuse of a right triangle? Check out Anya and The Solve It! On page 460! You will need an index card and a scissor

  3. What you discovered: • THM 7-3: The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle AND to each other.

  4. Are all right triangles similar?? What do they NEED to be similar? • Another congruent angle pair (plus the Rt. Angles) • Two proportional sides (plus the Rt Angles)

  5. Cut an index card along one of its diagonals. On one of the right triangles, draw an altitude from the right angle to the hypotenuse. Cut along the altitude to form two right triangles. You should now have three right triangles. Compare the triangles. What special property do they share? Explain. Tape your group’s triangles to a piece of paper and place in labwork. Activity: Investigating similar right triangles. Do in pairs or threes

  6. If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. Theorem 9.1 ∆CBD ~ ∆ABC, ∆ACD ~ ∆ABC, ∆CBD ~ ∆ACD

  7. Geometric Mean What is the geometric mean of 6 and 15?

  8. Relates small triangle to medium triangle Relates large triangle to small triangle Relates large triangle to medium triangle

  9. Using geometric Mean

  10. Golden Ratio

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