Haley's Planar Geometry


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6th grader geometry guide

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Haley's Planar Geometry

  1. 1. Haley's guide to Geometry <ul><ul><li>Lines </li></ul></ul><ul><ul><li>Angles </li></ul></ul><ul><ul><li>Triangles </li></ul></ul><ul><ul><li>Quadrilaterals </li></ul></ul><ul><ul><li>Circles </li></ul></ul>
  2. 2. Lines <ul><ul><li>Points </li></ul></ul><ul><ul><li>Line Segments </li></ul></ul><ul><ul><li>Rays </li></ul></ul><ul><ul><li>Lines </li></ul></ul><ul><ul><li>Intersecting lines </li></ul></ul><ul><ul><li>Perpendicular Lines </li></ul></ul><ul><ul><li>Parallel Lines </li></ul></ul><ul><ul><li>Skew Lines </li></ul></ul>
  3. 3. Points A Point A B A point is a precise location in space. It is labeled with a letter
  4. 4. Line Segments Any straight distance that starts at one spot and ends at another.
  5. 5. Rays <ul><ul><li>A chosen section of a line. </li></ul></ul>
  6. 6. Line <ul><ul><li>A straight path that extends without end in opposite directions. </li></ul></ul>
  7. 7. Intersecting lines <ul><ul><li>Two lines that cross at a point and keep going. </li></ul></ul>
  8. 8. Perpendicular lines <ul><ul><li>Two intersecting lines with all 90 degree angles </li></ul></ul>
  9. 9. Parallel lines <ul><ul><li>Two lines that are never able to cross as long as they don't curve. </li></ul></ul>
  10. 10. Skew lines <ul><ul><li>Two lines that are not in the same plane. </li></ul></ul>
  11. 11. Triangles <ul><ul><li>Right </li></ul></ul><ul><ul><li>Obtuse </li></ul></ul><ul><ul><li>Acute </li></ul></ul><ul><ul><li>Scalene </li></ul></ul><ul><ul><li>Isosceles </li></ul></ul><ul><ul><li>Equilateral </li></ul></ul><ul><ul><li>Sum of Internal Angles </li></ul></ul><ul><ul><li>Perimeter </li></ul></ul><ul><ul><li>Area </li></ul></ul>
  12. 12. Right Angle <ul><ul><li>An angle thats measurement is 90 degrees </li></ul></ul>
  13. 13. Obtuse Angle <ul><ul><li>Any angle with a larger measurement than a right angle. </li></ul></ul>
  14. 14. Acute Angle <ul><ul><li>Any angle that has a smaller measurement than a right angle. </li></ul></ul>
  15. 15. Scalene <ul><ul><li>A triangle with no equal sides </li></ul></ul>
  16. 16. Isosceles <ul><ul><li>A triangle with only two equal sides. </li></ul></ul>
  17. 17. Equilateral <ul><ul><li>A triangle with all equal sides and angles. </li></ul></ul>
  18. 18. Sum of Internal Angles <ul><ul><li>The sum of all triangles is 180. </li></ul></ul>90
  19. 19. Quadrilaterals <ul><ul><li>Quadrilaterals </li></ul></ul><ul><ul><li>Trapezoid </li></ul></ul><ul><ul><li>Parallelogram </li></ul></ul><ul><ul><li>Rectangle </li></ul></ul><ul><ul><li>Rhombus </li></ul></ul><ul><ul><li>Square </li></ul></ul><ul><ul><li>Area of a Rectangle </li></ul></ul><ul><ul><li>Area of a Square </li></ul></ul><ul><ul><li>Area of a Parallelogram </li></ul></ul><ul><ul><li>Area of a Trapezoid </li></ul></ul>
  20. 20. Quadrilaterals <ul><ul><li>A shape with four angles and four sides that are all connected. </li></ul></ul>
  21. 21. Trapezoid A quadrilateral with one set of parallel lines
  22. 22. Parallelogram A quadrilateral with two sets of parallel sides and opposite sides are congruent.
  23. 23. Rectangle A shape with four connected sides and opposite sides are parallel and congruent.
  24. 24. Rhombus A shape with four sides that are all congruent.
  25. 25. Square A shape with all sides congruent and opposite sides parallel.
  26. 26. Area of a rectangle Multiply length times width. Area=105 15in 7in
  27. 27. Area of a Square Multiply two of the sides. Area=9ft 3ft 3ft
  28. 28. Area of a Parallelogram Length times hight (worksheets will give you a dotted line for hight.) Area=15cm 5cm 3cm
  29. 29. Area of a trapezoid Add another trapezoid to make a rectangle. Then multiply length times width. Area= 126 6cm 7cm 3cm
  30. 30. Circles Chord Diameter Arc Radius Sector Circumference Area of a circle
  31. 31. Chord A line going through a circle.
  32. 32. Diameter The distance across a circle. 5cm
  33. 33. Arc A piece of the outside edge of a circle
  34. 34. Radius Half of the diameter.
  35. 35. Sector A piece of the area.
  36. 36. Circumference Diameter times 3.14 C=18.84 6cm
  37. 37. Area of a circle (Radius times radius) times 3.14 Area=78.5cm 5cm
  38. 38. Other polygons Hexagon Octagon Regular Polygon
  39. 39. Hexagon A shape with six equal sides.
  40. 40. Octagon A shape with eight equal sides.