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Presentation On Geometry

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Published in: Mathematics
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Faisal A / Abu Dhabi

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  1. Area Formulas
  2. Rectangle
  3. Rectangle What is the area formula?
  4. Rectangle What is the area formula? bh
  5. Rectangle What is the area formula? bh What other shape has 4 right angles?
  6. Rectangle What is the area formula? bh What other shape has 4 right angles? Square!
  7. Rectangle What is the area formula? bh What other shape has 4 right angles? Square! Can we use the same area formula?
  8. Rectangle What is the area formula? bh What other shape has 4 right angles? Square! Can we use the same Yes area formula?
  9. Practice! 10m Rectangle Square 14cm
  10. Rectangle Square Answers I Om 14cm 170 196 cm2
  11. So then what happens if we cut a rectangle in half? What shape is made?
  12. Triangle So then what happens if we cut a rectangle in half? What shape is made?
  13. Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles
  14. Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles So then what happens to the formula?
  15. Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles So then what happens to the formula?
  16. Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles bh So then what happens to the formula?
  17. Triangle So then what happens if we cut a rectangle in half? What shape is made? 2 Triangles bh So then what happens to the formula?
  18. Practice! Triangle 5 ft 14
  19. Answers Triangle 5 ft 14 35 ft2
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  23. qq LICI ?1e. OS Kiewwns
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  25. Parallelogra Let's look at a parallelogram.
  26. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
  27. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
  28. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
  29. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
  30. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
  31. Parallelo Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends? ra
  32. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
  33. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
  34. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
  35. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends?
  36. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends? What will the area formula be now that it is a rectangle?
  37. Parallelogra Let's look at a parallelogram. What happens if we slice off the slanted parts on the ends? What will the area formula be now that it is a rectangle? bh
  38. Parallelogra Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle ! bh
  39. Parallelogra Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle ! bh
  40. Parallelogra Be careful though! The height has to be perpendicular from the base, just like the side of a rectangle ! bh
  41. Rhombus The rhombus is just a parallelogram with all equal sides! So it also has bh for an area formula. bh
  42. Practice! 9 in Parallelogram 3 in 2.7 c Rhombus 4 cm
  43. Answers Parallelogram Rhombus 9 in 2.7 c 4 cm 27 in2 10.8 cm2
  44. Let's try something new with the parallelogram.
  45. Let's try something new with the parallelogram. Earlier, you saw that you could use two trapezoids to make a parallelogram.
  46. Let's try something new with the parallelogram. Earlier, you saw that you could use two trapezoids to make a parallelogram. Let's try to figure out the formula since we now know the area formula for a parallelogram.
  47. Trapezoid
  48. Trapezoid
  49. Trapezoid So we see that we are dividing the parallelogram in half. What will that do to the formula?
  50. Trapezoid So we see that we are dividing the parallelogram in half. What will that do to the formula? bh
  51. Trapezoid So we see that we are dividing the parallelogram in half. What will that do to the formula? bh
  52. Trapezoid But now there is a problem. What is wrong with the base? bh
  53. Trapezoid So we need to account for the split base, by calling the top base, base l, and the bottom base, base 2. By adding them together, we get the original base from the parallelogram. The heights are the same, so no problem there. bh
  54. Trapezoid So we need to account for the split base, by calling the top base, base l, and the bottom base, base 2. By adding them together, we get the original base from the parallelogram. The heights are the same, so no problem there. base 2 base 1 base 2 (bl + b2)h 2
  55. Trapezoid Practice! 5 11m
  56. Trapezoid Answers 35 m2 5 11m
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  77. So there is just one more left!
  78. So there is just one more left! Let's go back to the triangle. A few weeks ago you learned that by reflecting a triangle, you can make a kite.
  79. Kite So there is just one more left! Let's go back to the triangle. A few weeks ago you learned that by reflecting a triangle, you can make a kite.
  80. Kite Now we have to determine the formula. What is the area of a triangle formula again?
  81. Kite Now we have to determine the formula. What is the area of a triangle formula again? bh
  82. Kite Now we have to determine the formula. What is the area of a triangle formula again? Fill in the blank. A kite is made up of triangles. bh
  83. Kite Now we have to determine the formula. What is the area of a triangle formula again? Fill in the blank. A kite is made up of triangles. bh So it seems we should multiply the formula by 2.
  84. Kite bh *2 = bh 2
  85. Kite bh = bh 2 Now we have a different problem. What is the base and height of a kite? The green line is called the symmetry line, and the red line is half the other diagonal.
  86. Kite Let's use kite vocabulary instead to create our formula. Symmetry Line*Half the Other Diagonal
  87. Practice! Kite 10 ft
  88. Kite Answers 20 ft2 10 ft
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  112. Summary so far... bh bh (bl + b2)h 2 Symmetry Line * Half the Other Diagonal
  113. Final Summary Make sure all your formulas are written down! bh bh (bl + b2)h 2 Symmetry Line * Half the Other Diagonal

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