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11.1 area of triangles and parallelograms
 

11.1 area of triangles and parallelograms

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    11.1 area of triangles and parallelograms 11.1 area of triangles and parallelograms Presentation Transcript

    • 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 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
    • Congratulations!!!You Answered Correctly. Click to continue.
    • The next slide will takeyou 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? 1A 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 1A bh A 2 hb A 2bh
    • Congratulations!!!You Answered Correctly. Click to continue.