Philips Geometry Guide To Success.Ppt


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A sixth grade student geometry to success

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Philips Geometry Guide To Success.Ppt

  1. 1. Philip's Geometry Guide to Success Lines Angles Triangles Quadrilaterals Circles
  2. 2. Lines <ul><li>Points </li></ul><ul><li>Line Segments </li></ul><ul><li>Rays </li></ul><ul><li>Lines </li></ul><ul><li>Intersecting Lines </li></ul><ul><li>Perpendicular Lines </li></ul><ul><li>Parallel Lines </li></ul><ul><li>Skew Lines </li></ul>
  3. 3. Points <ul><li>A point is a precise location in space. It is labeled with a letter. </li></ul>Point a Point b Point c Point d
  4. 4. Line Segments <ul><li>A line line that starts at one point and ends at another </li></ul>
  5. 5. Ray <ul><li>A line that starts at a point and keeps going past the other </li></ul>
  6. 6. Intersec t ing <ul><li>Two lines that meet at a point and do not make 90 degree angles </li></ul>
  7. 7. Perpendicular <ul><li>The lines intersect at right angles </li></ul>
  8. 8. Parallel <ul><li>Lines that never cross and are on the same plane </li></ul>
  9. 9. Skew <ul><li>Lines that are not on the same plane </li></ul>
  10. 10. Plane <ul><li>A flat surface that goes on forever in all directions and is defined by three points </li></ul>P
  11. 11. Angles <ul><li>acute </li></ul><ul><li>obtuse </li></ul><ul><li>right </li></ul><ul><li>straight </li></ul><ul><li>vertex/vertices </li></ul><ul><li>complementary </li></ul><ul><li>supplementary </li></ul><ul><li>vertical/ opposite </li></ul><ul><li>adjacent </li></ul>
  12. 12. Acute <ul><li>An angle that is less than a 90 degree angle </li></ul>
  13. 13. Obtuse <ul><li>An angle that is more than a 90 degree angle </li></ul>
  14. 14. Right <ul><li>An angle that is exactly 90 degrees </li></ul>
  15. 15. Straight <ul><li>An angle made up by two 90 degree angles </li></ul>
  16. 16. Vertex/Vertices <ul><li>The point where the lines to make the angle meet </li></ul>
  17. 17. Complementary <ul><li>Two angles that if you add them together you will get 90 degrees </li></ul>45 45
  18. 18. Supplementary <ul><li>Two angles that if added together you get 180 degrees </li></ul>110 70
  19. 19. Vertical/Opposite <ul><li>An angle that is opposite to the same angle </li></ul>
  20. 20. Adjacent <ul><li>An angle that is sharing the same vertex with another angle </li></ul>F D E C Angle DFE Angle EFC
  21. 21. Triangles <ul><li>Right </li></ul><ul><li>Obtuse </li></ul><ul><li>Acute </li></ul><ul><li>Scalene </li></ul><ul><li>Isosceles </li></ul><ul><li>Equilateral </li></ul><ul><li>Sum of internal angles </li></ul><ul><li>Perimeter </li></ul><ul><li>Area </li></ul>
  22. 22. Right <ul><li>If the largest measure of the triangle is 90 degrees </li></ul>
  23. 23. Obtuse <ul><li>When the largest angle of the triangle is more than 90 degrees </li></ul>
  24. 24. Acute <ul><li>When the largest angle of the triangle is less than 90 degrees </li></ul>
  25. 25. Scalene <ul><li>When all the sides of the triangle are not equal </li></ul>
  26. 26. Isosceles When there are two sides of the triangle that are the same measure
  27. 27. Equilateral <ul><li>When all the sides of the triangle have the same measure </li></ul>
  28. 28. Sum of internal angles <ul><li>All the sides in the triangle add up to 180 degrees </li></ul>60 60 60
  29. 29. Perimeter <ul><li>The sum of all the sides of the triangle </li></ul>50 70 60 50+70+60=180
  30. 30. Area <ul><li>When you multiply length times width and then divide it by 1/2. </li></ul>30 60 60 times 30 divided by 1/2
  31. 31. Quadrilaterals <ul><li>Quadrilaterals </li></ul><ul><li>Trapezoid </li></ul><ul><li>Parallelogram </li></ul><ul><li>Rectangle </li></ul><ul><li>Rhombus </li></ul><ul><li>Square </li></ul><ul><li>Area of a rectangle </li></ul><ul><li>Area of a square </li></ul><ul><li>Area of a parallelogram </li></ul><ul><li>Area of a trapezoid </li></ul>
  32. 32. Trapezoid <ul><li>A figure that has 1 set of parallel sides. </li></ul>
  33. 33. Parallelogram <ul><li>A figure that has 2 sets of parallel sides </li></ul>
  34. 34. Rectangle <ul><li>A figure that has 2 parallel sides and all the angles are congruent </li></ul>
  35. 35. Rhombus <ul><li>A parallelogram that has no congruent sides </li></ul>
  36. 36. Square <ul><li>A parallelogram that has 2 parallel sides and all the angles are congruent </li></ul>
  37. 37. Area of a rectangle <ul><li>You multiply length times width </li></ul>L W L times W= A
  38. 38. Square <ul><li>You multiply length times width </li></ul>L W L times W = A
  39. 39. Area of a Parallelogram <ul><li>You multiply length times width </li></ul>8 12 8 times 12= A
  40. 40. Area of a Trapezoid <ul><li>You put 2 trapezoids together to make a rectangle and ad the top to the bottom then multiply it to width and divide by 2. </li></ul>W L 4+ 6= 10 divided by 2 4
  41. 41. Circles <ul><li>Chord </li></ul><ul><li>Diameter </li></ul><ul><li>Arc </li></ul><ul><li>Radius </li></ul><ul><li>Sector </li></ul><ul><li>Circumference </li></ul><ul><li>Area of a Circle </li></ul>
  42. 42. Chord <ul><li>The chord is the longest line segment in the circle </li></ul>
  43. 43. Diameter <ul><li>The diameter is the radius times 2 </li></ul>
  44. 44. Arc <ul><li>The arc is the distance on the outside edge of the circle </li></ul>
  45. 45. Radius <ul><li>The radius is diameter divided by 2 </li></ul>
  46. 46. Sector <ul><li>The sector is a piece of the area. </li></ul>
  47. 47. Circumference <ul><li>The distance around the circle (C= D times 3.14) </li></ul>
  48. 48. Other Polygons <ul><li>Hexagon </li></ul><ul><li>Octagon </li></ul><ul><li>Pentagon </li></ul>
  49. 49. Hexagon <ul><li>The hexagon is a polygon with six sides </li></ul>
  50. 50. Octagon <ul><li>The octagon is a polygon with eight sides </li></ul>
  51. 51. Pentagon <ul><li>The pentagon is a polygon with five sides </li></ul>
  52. 52. <ul><li>The End </li></ul>