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# Chapter 9 kn - Lines, angles, and polygons

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### Chapter 9 kn - Lines, angles, and polygons

1. 1. LINES, ANGLES, AND PLANE SHAPES Geometry
2. 2. Line Segments Line Line segment
3. 3. Line Segments Line Line segmentWhen two lines are separated from each other with the samedistance in between... They are called...
4. 4. Line Segments Line Line segmentWhen two lines are separated from each other with the samedistance in between... They are called...
5. 5. Line Segments Line Line segmentWhen two lines are separated from each other with the samedistance in between... They are called...
6. 6. Line Segments Line Line segmentWhen two lines are separated from each other with the samedistance in between... They are called...
7. 7. Line Segments Line Line segmentWhen two lines are separated from each other with the samedistance in between... They are called...
8. 8. Line Segments Line Line segmentWhen two lines are separated from each other with the samedistance in between... They are called... Parallel Lines
9. 9. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles
10. 10. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles
11. 11. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles
12. 12. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles
13. 13. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square corner
14. 14. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square corner Right Angle
15. 15. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square corner Right Angle
16. 16. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square corner Right Angle
17. 17. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square This angle is smaller corner than a square corner Right Angle
18. 18. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square This angle is smaller corner than a square corner Right Angle Less than Right Angle
19. 19. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square This angle is smaller corner than a square corner Right Angle Less than Right Angle Acute Angle
20. 20. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square This angle is smaller corner than a square corner Right Angle Less than Right Angle Acute Angle
21. 21. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square This angle is smaller corner than a square corner Right Angle Less than Right Angle Acute Angle
22. 22. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square This angle is smaller This angle is larger than corner than a square corner a square corner Right Angle Less than Right Angle Acute Angle
23. 23. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square This angle is smaller This angle is larger than corner than a square corner a square corner Right Angle Less than Right Angle Greater than Right Angle Acute Angle
24. 24. AnglesTwo line segments jointed together will form an ANGLE There are three diﬀerent kinds of angles This angle has a square This angle is smaller This angle is larger than corner than a square corner a square corner Right Angle Less than Right Angle Greater than Right Angle Acute Angle Obtuse Angle
25. 25. PolygonsPolygons are plane ﬁgures that are med up of line segmentsand anglesPlane ﬁgures are ﬂat ﬁgures that can be closed or not closed.
26. 26. PolygonsPolygons are plane ﬁgures that are med up of line segmentsand anglesPlane ﬁgures are ﬂat ﬁgures that can be closed or not closed. Closed
27. 27. PolygonsPolygons are plane ﬁgures that are med up of line segmentsand anglesPlane ﬁgures are ﬂat ﬁgures that can be closed or not closed. Closed Not Closed
28. 28. PolygonsPolygons are closed plane ﬁgures that have 3 or more sides.Name of a polygon tells the number of sides.
29. 29. PolygonsPolygons are closed plane ﬁgures that have 3 or more sides.Name of a polygon tells the number of sides. 3 sides Triangle
30. 30. PolygonsPolygons are closed plane ﬁgures that have 3 or more sides.Name of a polygon tells the number of sides. 3 sides 4 sides Triangle Quadrilateral
31. 31. PolygonsPolygons are closed plane ﬁgures that have 3 or more sides.Name of a polygon tells the number of sides. 3 sides 4 sides 5 sides Triangle Quadrilateral Pentagon
32. 32. PolygonsPolygons are closed plane ﬁgures that have 3 or more sides.Name of a polygon tells the number of sides. 3 sides 4 sides 5 sides Triangle Quadrilateral Pentagon 6 sides Hexagon
33. 33. PolygonsPolygons are closed plane ﬁgures that have 3 or more sides.Name of a polygon tells the number of sides. 3 sides 4 sides 5 sides Triangle Quadrilateral Pentagon 6 sides 8 sides Hexagon Octagon
34. 34. Name the Polygon
35. 35. Name the PolygonPentagon
36. 36. Name the PolygonPentagon Octagon
37. 37. Name the PolygonPentagon Octagon Quadrilateral
38. 38. Name the PolygonPentagon Octagon Quadrilateral Triangle
39. 39. TrianglesTriangles have three sides and three angles.There are four diﬀerent types of triangles
40. 40. Triangles Triangles have three sides and three angles. There are four diﬀerent types of trianglesAll sides haveequal length
41. 41. Triangles Triangles have three sides and three angles. There are four diﬀerent types of trianglesEquilateral TriangleAll sides haveequal length
42. 42. Triangles Triangles have three sides and three angles. There are four diﬀerent types of trianglesEquilateral TriangleAll sides have Triangle withequal length one right angle
43. 43. Triangles Triangles have three sides and three angles. There are four diﬀerent types of trianglesEquilateral Right Triangle TriangleAll sides have Triangle withequal length one right angle
44. 44. Triangles Triangles have three sides and three angles. There are four diﬀerent types of trianglesEquilateral Right Triangle TriangleAll sides have Only 2 sides Triangle withequal length have the same one right angle length
45. 45. Triangles Triangles have three sides and three angles. There are four diﬀerent types of triangles I stand like SUPERMAN!Equilateral Right Triangle TriangleAll sides have Only 2 sides Triangle withequal length have the same one right angle length
46. 46. Triangles Triangles have three sides and three angles. There are four diﬀerent types of triangles I stand like SUPERMAN!Equilateral Right Isosceles Triangle Triangle TriangleAll sides have Only 2 sides Triangle withequal length have the same one right angle length
47. 47. Triangles Triangles have three sides and three angles. There are four diﬀerent types of triangles I stand like SUPERMAN!Equilateral Right Isosceles Triangle Triangle TriangleAll sides have Only 2 sides Triangle with All sides haveequal length have the same one right angle diﬀerent length length
48. 48. Triangles Triangles have three sides and three angles. There are four diﬀerent types of triangles I’m Diﬀerent! I stand like SUPERMAN!Equilateral Right Isosceles Triangle Triangle TriangleAll sides have Only 2 sides Triangle with All sides haveequal length have the same one right angle diﬀerent length length
49. 49. Triangles Triangles have three sides and three angles. There are four diﬀerent types of triangles I’m Diﬀerent! I stand like SUPERMAN!Equilateral Right Isosceles Scalene Triangle Triangle Triangle TriangleAll sides have Only 2 sides Triangle with All sides haveequal length have the same one right angle diﬀerent length length
51. 51. Quadrilaterals Quadrilaterals have four sides and four angles. There are several diﬀerent types of quadrilaterals4 sides4 right anglesOpposite sides are parallelOne pair of lines are longer
52. 52. Quadrilaterals Quadrilaterals have four sides and four angles. There are several diﬀerent types of quadrilaterals Rectangle4 sides4 right anglesOpposite sides are parallelOne pair of lines are longer
53. 53. Quadrilaterals Quadrilaterals have four sides and four angles. There are several diﬀerent types of quadrilaterals Rectangle4 sides 4 equal sides4 right angles 4 right anglesOpposite sides are parallel Opposite sides are parallelOne pair of lines are longer
54. 54. Quadrilaterals Quadrilaterals have four sides and four angles. There are several diﬀerent types of quadrilaterals Rectangle Square4 sides 4 equal sides4 right angles 4 right anglesOpposite sides are parallel Opposite sides are parallelOne pair of lines are longer
56. 56. Quadrilaterals There are other types of quadrilaterals4 sides4 anglesOpposite sides are parallel
57. 57. Quadrilaterals There are other types of quadrilateralsParallelogram4 sides4 anglesOpposite sides are parallel
58. 58. Quadrilaterals There are other types of quadrilateralsParallelogram4 sides 4 sides4 angles 4 angles - 2 acute, 2 obtuseOpposite sides are parallel One pair of sides are parallel
59. 59. Quadrilaterals There are other types of quadrilateralsParallelogram Trapezoid4 sides 4 sides4 angles 4 angles - 2 acute, 2 obtuseOpposite sides are parallel One pair of sides are parallel
60. 60. Problem SolvingDraw pictures to help you solve a problem What would you do?
61. 61. Problem Solving Continue1. Draw a picture of an isosceles triangle2. Label the sides3. Look at the pictures and see what MATH you need to do
62. 62. Problem Solving Continue1. Draw a picture of an isosceles triangle2. Label the sides3. Look at the pictures and see what MATH you need to do
63. 63. Problem Solving Continue1. Draw a picture of an isosceles triangle2. Label the sides3. Look at the pictures and see what MATH you need to do What MATH would you do?
64. 64. Problem Solving Continues Since you want to ﬁnd out how many feet she walkedAROUND the garden, you can ADD all three sides together to ﬁnd the answer. Did you get the same answer?
65. 65. Problem Solving Continues Since you want to ﬁnd out how many feet she walkedAROUND the garden, you can ADD all three sides together to ﬁnd the answer. Did you get the same answer?
66. 66. Try these...1. Draw a square that is 1 inch on each side. Then draw arectangle with a width of 1 inch and a length 3 times as long.Ho many squares will ﬁt inside the rectangle?
67. 67. Try these...1. Draw a square that is 1 inch on each side. Then draw arectangle with a width of 1 inch and a length 3 times as long.Ho many squares will ﬁt inside the rectangle? 3 Squares!
68. 68. Try these...1. Draw a square that is 1 inch on each side. Then draw arectangle with a width of 1 inch and a length 3 times as long.Ho many squares will ﬁt inside the rectangle? 3 Squares!2. Erin is using a piece of ribbon to make bows. Each bow uses6 inches of ribbon. After making 5 bows, Erin has 5 inches ofribbon left. How long was the piece of ribbon Erin startedwith?
69. 69. Try these...1. Draw a square that is 1 inch on each side. Then draw arectangle with a width of 1 inch and a length 3 times as long.Ho many squares will ﬁt inside the rectangle? 3 Squares!2. Erin is using a piece of ribbon to make bows. Each bow uses6 inches of ribbon. After making 5 bows, Erin has 5 inches ofribbon left. How long was the piece of ribbon Erin startedwith? 35 inches!