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AREAS OF POLYGONS


    Which of the following areas are
          you trying to find?


Parallelogram   Triangle       Trapezoid
AREA OF A PARALLELOGRAM
                b



       h




  Welcome. Today you’re going to discover
   the formula for area of a parallelogram.

            Click to Continue
AREA OF A PARALLELOGRAM

                 b



       h




   To do this let’s cut the left triangle and…

            Click to Continue
AREA OF A PARALLELOGRAM

   h           b



       h




              slide it…

           Click to Continue
AREA OF A PARALLELOGRAM

        h



            b


   h



         slide it…
AREA OF A PARALLELOGRAM

                        h


        b



    h



            slide it…
AREA OF A PARALLELOGRAM


                      h
        b


   h




        slide it…
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
Congratulations!!!
You Answered Correctly.



     Click to continue.
AREA OF A PARALLELOGRAM
                       b



             h




Since the area of the rectangle and parallelogram are
the same, just rearranged, what is the formula for the
             area of this parallelogram?

A       bh          A      b    h         A     2bh
Congratulations!!!
You Answered Correctly.



     Click to continue.
The next slide will take
you into discovering the
   area of a triangle.


Do you wish to continue?

    Yes          No
AREA OF A TRIANGLE



            Hello. You will now be
            discovering the formula
    h        for area of a triangle.




                 Click to Continue
        b
AREA OF A TRIANGLE


    ?       Let’s divide the triangle
             so that we divide the
                 height in two.

    ?



        b        Click to Continue
AREA OF A TRIANGLE
                Remember, we divided
               the height into two equal
           ?
                        parts.
                 Now take the top and
                       rotate…

           ?



       b             Click to Continue
AREA OF A TRIANGLE


          ?
                rotate…



      ?
AREA OF A TRIANGLE

             ?


                 rotate…


         ?



     b
AREA OF A TRIANGLE

            ?


                rotate…


    ?



        b
AREA OF A TRIANGLE


            ?



                rotate…
    ?


     b
AREA OF A TRIANGLE


           ?


   ?
                rotate…


       b
AREA OF A TRIANGLE


                                     ?
                       ?



                         b
            …until you have a parallelogram.
How would you represent the height of this parallelogram?
                                         1
       h                2h               2   h
AREA OF A TRIANGLE

   ?
                                            ?
                                ?
    ?
                                    b
        b
 Remember, you divided the height in two.

            Click to Continue
AREA OF A TRIANGLE


                    ?



                        b

     What is the area of this parallelogram?


                            1
A     bh           A        2   hb    A        2bh
Congratulations!!!
You Answered Correctly.



     Click to continue.
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
                  1
A   bh        A   2   hb       A      2bh
Congratulations!!!
You Answered Correctly.



     Click to continue.

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11.1 area of triangles and parallelograms

  • 1. AREAS OF POLYGONS Which of the following areas are you trying to find? Parallelogram Triangle Trapezoid
  • 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. AREA OF A PARALLELOGRAM b h To do this let’s cut the left triangle and… Click to Continue
  • 4. AREA OF A PARALLELOGRAM h b h slide it… Click to Continue
  • 5. AREA OF A PARALLELOGRAM h b h slide it…
  • 6. AREA OF A PARALLELOGRAM h b h slide it…
  • 7. AREA OF A PARALLELOGRAM h b h slide it…
  • 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
  • 10. AREA OF A PARALLELOGRAM b h Since the area of the rectangle and parallelogram are the same, just rearranged, what is the formula for the area of this parallelogram? A bh A b h A 2bh
  • 12. The next slide will take you into discovering the area of a triangle. Do you wish to continue? Yes No
  • 13. AREA OF A TRIANGLE Hello. You will now be discovering the formula h for area of a triangle. Click to Continue b
  • 14. AREA OF A TRIANGLE ? Let’s divide the triangle so that we divide the height in two. ? b Click to Continue
  • 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. AREA OF A TRIANGLE ? rotate… ?
  • 17. AREA OF A TRIANGLE ? rotate… ? b
  • 18. AREA OF A TRIANGLE ? rotate… ? b
  • 19. AREA OF A TRIANGLE ? rotate… ? b
  • 20. AREA OF A TRIANGLE ? ? rotate… b
  • 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. AREA OF A TRIANGLE ? ? ? ? b b Remember, you divided the height in two. Click to Continue
  • 23. AREA OF A TRIANGLE ? b What is the area of this parallelogram? 1 A bh A 2 hb A 2bh
  • 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 1 A bh A 2 hb A 2bh