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Math Help - ...centroid

  1. #1
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    ...centroid

    Pls help the following question;

    The centroid (centre) of an object is the average of its x and y coordinates. A pentagonal object has vertices as follows;

    Vertex A B C D E
    Coordinates (1,2) (4,2) (5,5) (4,6) (2,5)

    a) Calculate the centroid of the pentagon
    b) Find M, the 3x3 matrix that scales the pentagon by a scale factor of 2.5 about ist centroid

    Thank you very much.
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  2. #2
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    Quote Originally Posted by eureka View Post
    Pls help the following question;

    The centroid (centre) of an object is the average of its x and y coordinates. A pentagonal object has vertices as follows;
    I never knew that, it seems to be the case for polygonal objects, right? (It is certainly simpler than what I would have used).


    a) Calculate the centroid of the pentagon
    Using what you said,
    The average of the x's is:
    x=\frac{1+4+5+4+2}{5}=3.2

    y=\frac{2+2+5+6+5}{5}=4
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  3. #3
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    Thanks for your help for question a, but how about question b?
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