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Geometry Section 1-6 1112
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Geometry Section 1-6 1112

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Two-Dimensional Figure

Two-Dimensional Figure

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  • 1. Section 1-6 Two-Dimensional Figures Monday, September 22, 14
  • 2. Essential Questions • How do you identify and name polygons? • How do you find perimeter, circumference, and area of two-dimensional figures? Monday, September 22, 14
  • 3. Vocabulary 1. Polygon: 2. Vertex of a Polygon: 3. Concave: 4. Convex: 5. n-gon: 6. Equilateral Polygon: Monday, September 22, 14
  • 4. Vocabulary 1. Pol y g o n : A closed figure whose sides are all line segments 2. Vertex of a Polygon: 3. Concave: 4. Convex: 5. n-gon: 6. Equilateral Polygon: Monday, September 22, 14
  • 5. Vocabulary 1. Pol y g o n : A closed figure whose sides are all line segments 2. Ver t e x o f a P o l y g o n : The point where two sides of a polygon meet 3. Concave: 4. Convex: 5. n-gon: 6. Equilateral Polygon: Monday, September 22, 14
  • 6. Vocabulary 1. Pol y g o n : A closed figure whose sides are all line segments 2. Ver t e x o f a P o l y g o n : The point where two sides of a polygon meet 3. Concave: A polygon that has an indentation 4. Convex: 5. n-gon: 6. Equilateral Polygon: Monday, September 22, 14
  • 7. Vocabulary 1. Pol y g o n : A closed figure whose sides are all line segments 2. Ver t e x o f a P o l y g o n : The point where two sides of a polygon meet 3. Concave: A polygon that has an indentation 4. Convex: A polygon that has no indentations 5. n-gon: 6. Equilateral Polygon: Monday, September 22, 14
  • 8. Vocabulary 1. Pol y g o n : A closed figure whose sides are all line segments 2. Ver t e x o f a P o l y g o n : The point where two sides of a polygon meet 3. Concave: A polygon that has an indentation 4. Convex: A polygon that has no indentations 5. n-gon: A polygon that has n sides 6. Equilateral Polygon: Monday, September 22, 14
  • 9. Vocabulary 1. Pol y g o n : A closed figure whose sides are all line segments 2. Ver t e x o f a P o l y g o n : The point where two sides of a polygon meet 3. Concave: A polygon that has an indentation 4. Convex: A polygon that has no indentations 5. n-gon: A polygon that has n sides 6. Equ i la t e r a l P o l y g o n : A polygon where all sides are congruent Monday, September 22, 14
  • 10. Vocabulary 7. Equiangular Polygon: 8. Regular Polygon: 9. Perimeter: 10. Circumference: 11. Area: Monday, September 22, 14
  • 11. Vocabulary 7. Equ i a n g u l a r P o l y g o n : A polygon where all angles are congruent 8. Regular Polygon: 9. Perimeter: 10. Circumference: 11. Area: Monday, September 22, 14
  • 12. Vocabulary 7. Equ i a n g u l a r P o l y g o n : A polygon where all angles are congruent 8. Reg u la r P o l y g o n : A polygon where all sides are congruent and all angles are congruent 9. Perimeter: 10. Circumference: 11. Area: Monday, September 22, 14
  • 13. Vocabulary 7. Equ i a n g u l a r P o l y g o n : A polygon where all angles are congruent 8. Reg u la r P o l y g o n : A polygon where all sides are congruent and all angles are congruent 9. Per i m e t e r : The sum of the lengths of the sides of a polygon; The distance around a polygon 10. Circumference: 11. Area: Monday, September 22, 14
  • 14. Vocabulary 7. Equ i a n g u l a r P o l y g o n : A polygon where all angles are congruent 8. Reg u la r P o l y g o n : A polygon where all sides are congruent and all angles are congruent 9. Per i m e t e r : The sum of the lengths of the sides of a polygon; The distance around a polygon 10. Circumference: The distance around a circle 11. Area: Monday, September 22, 14
  • 15. Vocabulary 7. Equ i a n g u l a r P o l y g o n : A polygon where all angles are congruent 8. Reg u la r P o l y g o n : A polygon where all sides are congruent and all angles are congruent 9. Per i m e t e r : The sum of the lengths of the sides of a polygon; The distance around a polygon 10. Circumference: The distance around a circle C = 2π r = π d 11. Area: Monday, September 22, 14
  • 16. Vocabulary 7. Equ i a n g u l a r P o l y g o n : A polygon where all angles are congruent 8. Reg u la r P o l y g o n : A polygon where all sides are congruent and all angles are congruent 9. Per i m e t e r : The sum of the lengths of the sides of a polygon; The distance around a polygon 10. Circumference: The distance around a circle C = 2π r = π d 11. Area: The space in square units a figure covers Monday, September 22, 14
  • 17. Area Formulas Where are some places that you find these formulas? Monday, September 22, 14
  • 18. Example 1 Make four drawings (using a straight edge) so that two of your drawings are polygons and two are not. Label which is which. Polygons Not Polygons Monday, September 22, 14
  • 19. Example 1 Make four drawings (using a straight edge) so that two of your drawings are polygons and two are not. Label which is which. Polygons Not Polygons Monday, September 22, 14
  • 20. Example 1 Make four drawings (using a straight edge) so that two of your drawings are polygons and two are not. Label which is which. Polygons Not Polygons Monday, September 22, 14
  • 21. Example 1 Make four drawings (using a straight edge) so that two of your drawings are polygons and two are not. Label which is which. Polygons Not Polygons Monday, September 22, 14
  • 22. Example 1 Make four drawings (using a straight edge) so that two of your drawings are polygons and two are not. Label which is which. Polygons Not Polygons Monday, September 22, 14
  • 23. Polygon Names 3 sides: 4 sides: 5 sides: 6 sides: 7 sides: 8 sides: Monday, September 22, 14
  • 24. Polygon Names 3 sides: 4 sides: 5 sides: Triangle 6 sides: 7 sides: 8 sides: Monday, September 22, 14
  • 25. Polygon Names 3 sides: 4 sides: 5 sides: Triangle 6 sides: 7 sides: 8 sides: Monday, September 22, 14
  • 26. Polygon Names 3 sides: 4 sides: 5 sides: Triangle Quadrilateral 6 sides: 7 sides: 8 sides: Monday, September 22, 14
  • 27. Polygon Names 3 sides: 4 sides: 5 sides: Triangle Quadrilateral 6 sides: 7 sides: 8 sides: Monday, September 22, 14
  • 28. Polygon Names 3 sides: 4 sides: 5 sides: Triangle Quadrilateral Pentagon 6 sides: 7 sides: 8 sides: Monday, September 22, 14
  • 29. Polygon Names 3 sides: 4 sides: 5 sides: Triangle Quadrilateral Pentagon 6 sides: 7 sides: 8 sides: Monday, September 22, 14
  • 30. Polygon Names 3 sides: 4 sides: 5 sides: Triangle Quadrilateral Pentagon 6 sides: 7 sides: 8 sides: Hexagon Monday, September 22, 14
  • 31. Polygon Names 3 sides: 4 sides: 5 sides: Triangle Quadrilateral Pentagon 6 sides: 7 sides: 8 sides: Hexagon Monday, September 22, 14
  • 32. Polygon Names 3 sides: 4 sides: 5 sides: Triangle Quadrilateral Pentagon 6 sides: 7 sides: 8 sides: Hexagon Heptagon Monday, September 22, 14
  • 33. Polygon Names 3 sides: 4 sides: 5 sides: Triangle Quadrilateral Pentagon 6 sides: 7 sides: 8 sides: Hexagon Heptagon Monday, September 22, 14
  • 34. Polygon Names 3 sides: 4 sides: 5 sides: Triangle Quadrilateral Pentagon 6 sides: 7 sides: 8 sides: Hexagon Heptagon Octagon Monday, September 22, 14
  • 35. Polygon Names 3 sides: 4 sides: 5 sides: Triangle Quadrilateral Pentagon 6 sides: 7 sides: 8 sides: Hexagon Heptagon Octagon Monday, September 22, 14
  • 36. Polygon Names 9 sides: 10 sides: 12 sides: Monday, September 22, 14
  • 37. Polygon Names 9 sides: 10 sides: 12 sides: Nonagon Monday, September 22, 14
  • 38. Polygon Names 9 sides: 10 sides: 12 sides: Nonagon Monday, September 22, 14
  • 39. Polygon Names 9 sides: 10 sides: 12 sides: Nonagon Decagon Monday, September 22, 14
  • 40. Polygon Names 9 sides: 10 sides: 12 sides: Nonagon Decagon Monday, September 22, 14
  • 41. Polygon Names 9 sides: 10 sides: 12 sides: Nonagon Decagon Dodecagon Monday, September 22, 14
  • 42. Polygon Names 9 sides: 10 sides: 12 sides: Nonagon Decagon Dodecagon Monday, September 22, 14
  • 43. Example 2 Draw a concave hexagon. Then draw a convex octagon. Monday, September 22, 14
  • 44. Example 2 Draw a concave hexagon. Then draw a convex octagon. Monday, September 22, 14
  • 45. Example 2 Draw a concave hexagon. Then draw a convex octagon. Monday, September 22, 14
  • 46. Example 2 Draw a concave hexagon. Then draw a convex octagon. Monday, September 22, 14
  • 47. Example 2 Draw a concave hexagon. Then draw a convex octagon. Monday, September 22, 14
  • 48. Example 3 Draw a regular quadrilateral. Monday, September 22, 14
  • 49. Example 3 Draw a regular quadrilateral. Monday, September 22, 14
  • 50. Example 4 Identify the figure based on the number of sides. Is it concave or convex? Is it equilateral, equiangular, or neither? Monday, September 22, 14
  • 51. Example 4 Identify the figure based on the number of sides. Is it concave or convex? Is it equilateral, equiangular, or neither? Decagon Monday, September 22, 14
  • 52. Example 4 Identify the figure based on the number of sides. Is it concave or convex? Is it equilateral, equiangular, or neither? Decagon Equilateral, but not equiangular Monday, September 22, 14
  • 53. Example 4 Identify the figure based on the number of sides. Is it concave or convex? Is it equilateral, equiangular, or neither? Decagon Concave Equilateral, but not equiangular Monday, September 22, 14
  • 54. Example 5 Find the perimeter of a rectangle whose length is 8.3 cm and width is 3.2 cm. Monday, September 22, 14
  • 55. Example 5 Find the perimeter of a rectangle whose length is 8.3 cm and width is 3.2 cm. Monday, September 22, 14
  • 56. Example 5 Find the perimeter of a rectangle whose length is 8.3 cm and width is 3.2 cm. 8.3 cm Monday, September 22, 14
  • 57. Example 5 Find the perimeter of a rectangle whose length is 8.3 cm and width is 3.2 cm. 8.3 cm 3.2 cm Monday, September 22, 14
  • 58. Example 5 Find the perimeter of a rectangle whose length is 8.3 cm and width is 3.2 cm. 8.3 cm 3.2 cm P = 2l + 2w Monday, September 22, 14
  • 59. Example 5 Find the perimeter of a rectangle whose length is 8.3 cm and width is 3.2 cm. 8.3 cm 3.2 cm P = 2l + 2w = 2(8.3) + 2(3.2) Monday, September 22, 14
  • 60. Example 5 Find the perimeter of a rectangle whose length is 8.3 cm and width is 3.2 cm. 8.3 cm 3.2 cm P = 2l + 2w = 2(8.3) + 2(3.2) = 16.6 + 6.4 Monday, September 22, 14
  • 61. Example 5 Find the perimeter of a rectangle whose length is 8.3 cm and width is 3.2 cm. 8.3 cm 3.2 cm P = 2l + 2w = 2(8.3) + 2(3.2) = 16.6 + 6.4 = 23 Monday, September 22, 14
  • 62. Example 5 Find the perimeter of a rectangle whose length is 8.3 cm and width is 3.2 cm. 8.3 cm 3.2 cm P = 2l + 2w = 2(8.3) + 2(3.2) = 16.6 + 6.4 = 23 cm Monday, September 22, 14
  • 63. Example 6 Find the circumference of a circle with a diameter of 14 in. Monday, September 22, 14
  • 64. Example 6 Find the circumference of a circle with a diameter of 14 in. Monday, September 22, 14
  • 65. Example 6 Find the circumference of a circle with a diameter of 14 in. 14 in. Monday, September 22, 14
  • 66. Example 6 Find the circumference of a circle with a diameter of 14 in. 14 in. C = 2π r = π d Monday, September 22, 14
  • 67. Example 6 Find the circumference of a circle with a diameter of 14 in. 14 in. C = 2π r = π d C = π d Monday, September 22, 14
  • 68. Example 6 Find the circumference of a circle with a diameter of 14 in. 14 in. C = 2π r = π d C = π d C = π (14) Monday, September 22, 14
  • 69. Example 6 Find the circumference of a circle with a diameter of 14 in. 14 in. C = 2π r = π d C = π d C = π (14) C ≈ 43.98 in. Monday, September 22, 14
  • 70. Problem Set Monday, September 22, 14
  • 71. Problem Set p. 61 #1-27 odd, 44-47 “Nobody got anywhere in the world by simply being content.” - Louis L’Amour Monday, September 22, 14