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D. N. A.

D. N. A. 1) Use the figure to complete the proportions. 2) Solve for x. Chapter 7-5. Parts of Similar Triangles. Five-Minute Check (over Lesson 7-4) Main Ideas California Standards Theorem 7.7: Proportional Perimeters Theorem Example 1: Perimeters of Similar Triangles

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D. N. A.

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  1. D. N. A. 1) Use the figure to complete the proportions. 2) Solve for x.

  2. Chapter 7-5 Parts of Similar Triangles

  3. Five-Minute Check (over Lesson 7-4) Main Ideas California Standards Theorem 7.7: Proportional Perimeters Theorem Example 1: Perimeters of Similar Triangles Theorems: Special Segments of Similar Triangles Example 2: Write a Proof Example 3: Medians of Similar Triangles Example 4: Solve Problems with Similar Triangles Theorem 7.11: Angle Bisector Theorem Lesson 5 Menu

  4. Standard 4.0 Students prove basic theorems involvingcongruence and similarity. (Key) • Recognize and use proportional relationships of corresponding perimeters of similar triangles. • Recognize and use proportional relationships of corresponding angle bisectors, altitudes, and medians of similar triangles. Lesson 5 MI/Vocab

  5. 6 B A 9 3 15 C 12 D 4 Y W 6 2 10 Z 8 X Proportionate Perimeters of Polygons (try saying that 10 times fast—quietly!!!) • If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

  6. Perimeters of Similar Triangles Lesson 5 Ex1

  7. Perimeters of Similar Triangles Proportional Perimeter Theorem Substitution. Cross products Multiply. Divide each side by 16. Lesson 5 Ex1

  8. A. B. C. D. Lesson 5 CYP1

  9. Similar Triangle Proportionality • If two triangles are similar, then the ratio of any two corresponding lengths (sides, perimeters, altitudes, medians and angle bisector segments) is equal to the scale factor of the similar triangles.

  10. 24 N M P 6 Q R S T 16 Example • Find the altitude QS.

  11. A. B. C. D. Lesson 5 CYP2

  12. Medians of Similar Triangles Lesson 5 Ex3

  13. Medians of Similar Triangles Write a proportion. EG = 18, JL = x, EF = 36, and JK = 56 Cross products Divide each side by 36. Answer: Thus, JL = 28. Lesson 5 Ex3

  14. A • B • C • D A. 2.8 B. 17.5 C. 3.9 D. 0.96 Lesson 5 CYP3

  15. Solve Problems with Similar Triangles Lesson 5 Ex4

  16. Solve Problems with Similar Triangles Lesson 5 Ex4

  17. Solve Problems with Similar Triangles Write a proportion. Cross products Simplify. Divide each side by 80. Answer: The height of the pole is 15 feet. Lesson 5 Ex4

  18. A. 10.5 in B. 61.7 in C. 21 in D. 28 in Lesson 5 CYP4

  19. A D C B Triangle Bisector Theorem • If a ray bisects an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides.

  20. B AD bisects BAC 9 A D 14 15 C Find DC Example #3 14-x Triangle Bisector Thm. x

  21. Homework Chapter 7-5 Pg 419 1-13 skip #3, 19-22, 25-26, 39-40

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