Chp 8 Workbook

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NAME DATE PERIOD 8-1 Study Guide and Intervention (continued) Geometric Mean Geometric Means in Right Triangles In the diagram, △ ABC ∼ △ ADB ∼ △ BDC. An altitude to the hypotenuse of a right triangle forms two right triangles. The two triangles are similar and each is similar to the original triangle. A B D C Example Use right △ ABC with −− BD ⊥ AC −− 1 Example 2 Find x, y, and z. . Describe two geometric 15 = √ RP SP means. a. △ ADB ∼ △ BDC so − AD BD = − BD CD . 15 = √ 25x RP = 25 and SP = x 225 = 25x Square each side. In △ABC, the altitude is the geometric mean between the two segments of the 9 = x Divide each side by 25. hypotenuse. Then b. △ ABC ∼ △ ADB and △ ABC ∼ △ BDC, y = RP – SP so AC − AB = AB − AD and AC − BC = BC − DC . In △ ABC, each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse adjacent to that leg. = 25 – 9 = 16 z = √ RS RP Geometric Mean (Leg) Theorem R z Q Geometric Mean (Leg) Theorem = √ 16 25 RS = 16 and RP = 25 = √ 400 Multiply. y 25 S x P 15 Exercises Find x, y, and z to the nearest tenth. 1. 4. x 1 3 y 2. √12 5. √⎺3 1 x y 5 x z = 20 Simplify. 2 3. z 2 2 x y 6. x 1 x z 2 y 6 y 8 z Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 6 Glencoe Geometry
NAME DATE PERIOD 8-1 Skills Practice Geometric Mean Find the geometric mean between each pair of numbers. 1. 2 and 8 2. 9 and 36 3. 4 and 7 4. 5 and 10 5. 28 and 14 6. 7 and 36 Write a similarity statement identifying the three similar triangles in the figure. 7. A D 8. P M C B L N Lesson 8-1 9. E H 10. S G F R U T Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Find x, y and z. 11. 13. x y z 3 9 4 15 x y z 12. 14. 10 z x z x 4 y 5 y 2 Chapter 8 7 Glencoe Geometry
Page 1 and 2: Chapter 8 Resource Masters
Page 3 and 4: Contents Copyright © Glencoe/McGra
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Page 8 and 9: NAME DATE PERIOD 8 Student-Built Gl
Page 10 and 11: NOMBRE FECHA PERÍODO 8 Ejercicios
Page 14 and 15: NAME DATE PERIOD 8-1 Practice Geome
Page 16 and 17: NAME DATE PERIOD 8-1 Enrichment Mat
Page 18 and 19: NAME DATE PERIOD 8-2 Study Guide an
Page 20 and 21: NAME DATE PERIOD 8-2 Practice Find
Page 22 and 23: NAME DATE PERIOD 8-2 Enrichment Con
Page 26 and 27: NAME DATE PERIOD 8-3 Skills Practic
Page 28 and 29: NAME DATE PERIOD 8-3 Word Problem P
Page 30 and 31: NAME DATE PERIOD 8-4 Trigonometric
Page 48 and 49: NAME DATE PERIOD 8-6 Graphing Calcu
Page 52 and 53: NAME DATE PERIOD 8-7 Practice Vecto
Page 54 and 55: NAME DATE PERIOD 8-7 Enrichment Dot
Page 56 and 57: NAME DATE PERIOD 8 Rubric for Scori
Page 58 and 59: NAME DATE PERIOD 8 Chapter 8 Quiz 3
Page 60 and 61: NAME DATE PERIOD 8 Chapter 8 Vocabu
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NAME DATE PERIOD 8 Chapter 8 Test,
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NAME DATE PERIOD 8 Standardized Tes
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NAME DATE PERIOD 8 Standardized Tes
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