Two-Dimensional Figure

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