11.1 area of triangles and parallelograms

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11.1 area of triangles and parallelograms

  1. 1. AREAS OF POLYGONS Which of the following areas are you trying to find?Parallelogram Triangle Trapezoid
  2. 2. AREA OF A PARALLELOGRAM b h Welcome. Today you’re going to discover the formula for area of a parallelogram. Click to Continue
  3. 3. AREA OF A PARALLELOGRAM b h To do this let’s cut the left triangle and… Click to Continue
  4. 4. AREA OF A PARALLELOGRAM h b h slide it… Click to Continue
  5. 5. AREA OF A PARALLELOGRAM h b h slide it…
  6. 6. AREA OF A PARALLELOGRAM h b h slide it…
  7. 7. AREA OF A PARALLELOGRAM h b h slide it…
  8. 8. AREA OF PARALLELOGRAM b h …thus, changing it to a rectangle. What is the area of the rectangle?A bh A b h A 2bh
  9. 9. Congratulations!!!You Answered Correctly. Click to continue.
  10. 10. AREA OF A PARALLELOGRAM b hSince the area of the rectangle and parallelogram arethe same, just rearranged, what is the formula for the area of this parallelogram?A bh A b h A 2bh
  11. 11. Congratulations!!!You Answered Correctly. Click to continue.
  12. 12. The next slide will takeyou into discovering the area of a triangle.Do you wish to continue? Yes No
  13. 13. AREA OF A TRIANGLE Hello. You will now be discovering the formula h for area of a triangle. Click to Continue b
  14. 14. AREA OF A TRIANGLE ? Let’s divide the triangle so that we divide the height in two. ? b Click to Continue
  15. 15. AREA OF A TRIANGLE Remember, we divided the height into two equal ? parts. Now take the top and rotate… ? b Click to Continue
  16. 16. AREA OF A TRIANGLE ? rotate… ?
  17. 17. AREA OF A TRIANGLE ? rotate… ? b
  18. 18. AREA OF A TRIANGLE ? rotate… ? b
  19. 19. AREA OF A TRIANGLE ? rotate… ? b
  20. 20. AREA OF A TRIANGLE ? ? rotate… b
  21. 21. AREA OF A TRIANGLE ? ? b …until you have a parallelogram.How would you represent the height of this parallelogram? 1 h 2h 2 h
  22. 22. AREA OF A TRIANGLE ? ? ? ? b b Remember, you divided the height in two. Click to Continue
  23. 23. AREA OF A TRIANGLE ? b What is the area of this parallelogram? 1A bh A 2 hb A 2bh
  24. 24. Congratulations!!!You Answered Correctly. Click to continue.
  25. 25. AREA OF A TRIANGLE The area of this triangle would be the same as the parallelogram. Therefore, the formula for h the area of a triangle is… what? b 1A bh A 2 hb A 2bh
  26. 26. Congratulations!!!You Answered Correctly. Click to continue.

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