Bell Ringer
Welcome to the World of Polygons!
Polygons <ul><li>The word polygon means “many angles” </li></ul><ul><li>A two dimensional object </li></ul><ul><li>A close...
More about Polygons <ul><li>Made up of three or more straight line segments </li></ul><ul><li>There are exactly two sides ...
Vocabulary <ul><li>Diagonal – a line segment joining 2 non-consecutive vertices </li></ul><ul><li>Adjacent – ‘next to’ </l...
Examples of Polygons
These are not Polygons
Terms:   Side:  One of the line segments that make up a polygon. Vertex:  point where two sides meet.
<ul><li>Regular Polygon:  </li></ul><ul><ul><li>a polygon where all the angles are equal and all of the sides are the same...
Examples of Regular Polygons
Types of Polygons
Triangle <ul><li>A triangle has three sides. </li></ul>1 2 3
Everyday triangles…
There are several types of triangles
<ul><li>Isosceles Triangles have 2 equal sides. </li></ul><ul><li>Equilateral Triangles have 3 equal sides </li></ul><ul><...
<ul><li>Acute triangles have 3 acute angles </li></ul><ul><li>Obtuse triangles have 1 obtuse angle </li></ul><ul><li>Right...
Quadrilateral  <ul><li>A quadrilateral has four sides. </li></ul>
Square <ul><li>Squares have 4 equal parallel sides and 4 right angles. </li></ul><ul><li>Squares are regular polygons </li...
Everyday Squares
Rectangles <ul><li>Rectangles have parallel sides that are equal to each other. </li></ul><ul><li>All angles are right ang...
Everyday Rectangles
Rhombus <ul><li>A rhombus has four equal parallel sides. </li></ul>
Parallelogram <ul><li>Parallelograms have opposite equal parallel sides </li></ul>
Everyday Parallelograms
Trapezoid <ul><li>Trapezoids have one set of parallel sides. </li></ul>
Everyday Trapezoids
Pentagon <ul><li>A pentagon has five sides. </li></ul>1 2 3 4 5
Everyday Pentagons
Hexagon  <ul><li>A hexagon has six sides.  (Hexagon and six both have an “x”.) </li></ul>
Everyday Hexagons
Heptagon <ul><li>A heptagon has seven sides. </li></ul>
Everyday Heptagons
Octagon <ul><li>An octagon has eight sides.  </li></ul>What does this remind you of?
Everyday Octagons
Nonagons <ul><li>Nonagons have nine sides </li></ul>
Everyday Nonagons
Decagon <ul><li>Decagons have 10 sides. </li></ul>
Everyday Decagons
Hendecagon <ul><li>Hendecagons have 11 sides </li></ul>
Everyday Hendecagons
Dodecagons <ul><li>Dodecagons have 12 sides </li></ul>
Everyday Dodecagons
<ul><li>A triangle is the smallest polygon because it has three sides.  Can you have a two-sided polygon?  Why or why not?...
Name all diagonals with an endpoint at vertex C. Name all angles adjacent to A. Name the polygon.
Name all diagonals with an endpoint at vertex B. Name all angles  not  adjacent to D. Name the polygon. You try!
3x 2x+1 The perimeter of the parallelogram is 42 inches.  Find length of the base.
4x - 2 The perimeter of the parallelogram is 84 feet.  Find length of the base. You try! 2x + 2
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TechMathI - 5.1 - Polygons

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TechMathI - 5.1 - Polygons

  1. 1. Bell Ringer
  2. 2. Welcome to the World of Polygons!
  3. 3. Polygons <ul><li>The word polygon means “many angles” </li></ul><ul><li>A two dimensional object </li></ul><ul><li>A closed figure </li></ul>
  4. 4. More about Polygons <ul><li>Made up of three or more straight line segments </li></ul><ul><li>There are exactly two sides that meet at a vertex </li></ul><ul><li>The sides do not cross each other </li></ul>
  5. 5. Vocabulary <ul><li>Diagonal – a line segment joining 2 non-consecutive vertices </li></ul><ul><li>Adjacent – ‘next to’ </li></ul>
  6. 6. Examples of Polygons
  7. 7. These are not Polygons
  8. 8. Terms: Side: One of the line segments that make up a polygon. Vertex: point where two sides meet.
  9. 9. <ul><li>Regular Polygon: </li></ul><ul><ul><li>a polygon where all the angles are equal and all of the sides are the same length. </li></ul></ul>
  10. 10. Examples of Regular Polygons
  11. 11. Types of Polygons
  12. 12. Triangle <ul><li>A triangle has three sides. </li></ul>1 2 3
  13. 13. Everyday triangles…
  14. 14. There are several types of triangles
  15. 15. <ul><li>Isosceles Triangles have 2 equal sides. </li></ul><ul><li>Equilateral Triangles have 3 equal sides </li></ul><ul><li>Scalene Triangles have no equal sides </li></ul>
  16. 16. <ul><li>Acute triangles have 3 acute angles </li></ul><ul><li>Obtuse triangles have 1 obtuse angle </li></ul><ul><li>Right triangles have 1 right angle </li></ul>
  17. 17. Quadrilateral <ul><li>A quadrilateral has four sides. </li></ul>
  18. 18. Square <ul><li>Squares have 4 equal parallel sides and 4 right angles. </li></ul><ul><li>Squares are regular polygons </li></ul>
  19. 19. Everyday Squares
  20. 20. Rectangles <ul><li>Rectangles have parallel sides that are equal to each other. </li></ul><ul><li>All angles are right angles. </li></ul>
  21. 21. Everyday Rectangles
  22. 22. Rhombus <ul><li>A rhombus has four equal parallel sides. </li></ul>
  23. 23. Parallelogram <ul><li>Parallelograms have opposite equal parallel sides </li></ul>
  24. 24. Everyday Parallelograms
  25. 25. Trapezoid <ul><li>Trapezoids have one set of parallel sides. </li></ul>
  26. 26. Everyday Trapezoids
  27. 27. Pentagon <ul><li>A pentagon has five sides. </li></ul>1 2 3 4 5
  28. 28. Everyday Pentagons
  29. 29. Hexagon <ul><li>A hexagon has six sides. (Hexagon and six both have an “x”.) </li></ul>
  30. 30. Everyday Hexagons
  31. 31. Heptagon <ul><li>A heptagon has seven sides. </li></ul>
  32. 32. Everyday Heptagons
  33. 33. Octagon <ul><li>An octagon has eight sides. </li></ul>What does this remind you of?
  34. 34. Everyday Octagons
  35. 35. Nonagons <ul><li>Nonagons have nine sides </li></ul>
  36. 36. Everyday Nonagons
  37. 37. Decagon <ul><li>Decagons have 10 sides. </li></ul>
  38. 38. Everyday Decagons
  39. 39. Hendecagon <ul><li>Hendecagons have 11 sides </li></ul>
  40. 40. Everyday Hendecagons
  41. 41. Dodecagons <ul><li>Dodecagons have 12 sides </li></ul>
  42. 42. Everyday Dodecagons
  43. 43. <ul><li>A triangle is the smallest polygon because it has three sides. Can you have a two-sided polygon? Why or why not? </li></ul>Two lines don’t close to make a shape. They make an angle. 2 1 Key Question:
  44. 44. Name all diagonals with an endpoint at vertex C. Name all angles adjacent to A. Name the polygon.
  45. 45. Name all diagonals with an endpoint at vertex B. Name all angles not adjacent to D. Name the polygon. You try!
  46. 46. 3x 2x+1 The perimeter of the parallelogram is 42 inches. Find length of the base.
  47. 47. 4x - 2 The perimeter of the parallelogram is 84 feet. Find length of the base. You try! 2x + 2
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