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Math Help - Translating a polygon

  1. #1
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    Translating a polygon

    Consider there is a polygon and a point P within the polygon. When the polygon is translated ( rotated or transformed to a new position or both) then the point should also be translated with respect to the new polygon position.
    Can anyone figure it out. Thanks in advance

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  2. #2
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    Translation

    Hello nevetha
    Quote Originally Posted by nevetha View Post
    Consider there is a polygon and a point P within the polygon. When the polygon is translated ( rotated or transformed to a new position or both) then the point should also be translated with respect to the new polygon position.
    Can anyone figure it out. Thanks in advance

    I don't understand the question here. Can you re-phrase it?

    In a translation, a polygon is moved to a new position in such a way that all points on the polygon move the same distance in the same direction, so that the new shape (the image) has exactly the same orientation as the original shape (the pre-image).

    In a rotation, all points of the pre-image are rotated through the same angle about a fixed point - the centre of the rotation. Thus the polygon keeps its shape and size, but not its orientation (unless, of course, the angle of rotation is 360 degrees).

    In a reflection, the lines joining corresponding points on the image and pre-image are parallel, and their mid-points lie on a straight line perpendicular to these lines. This is the 'mirror-line' of the reflection. The image is congruent to the pre-image but is opposite in 'sense'; in other words, if you move clockwise around the perimeter of the image, then you'll move anti-clockwise around corresponding points of the pre-image.

    Rotations, translations and reflections (and any combination of them) are called isometries, because the image is congruent to the pre-image. But the word transformation may be used to denote other types of operation in which the image and pre-image are not congruent; e.g. stretching, shearing, etc.

    So I think we need a bit more information about what is being asked here.

    Grandad
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  3. #3
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    Precise

    Okay let me be clear.
    There is a polygon. U need to either translate or rotate it.

    I need this for a computer based imaging system. The polygon is drawn with the help of mouse randomly.

    There is a point inside the polygon. Now am able to translate the polygon using some pre-defined options. But there is no provision for translating the point(within the polygon) and hence it has to be done manually by coding. So what should we do to move the point to its new position with respect to the shifted polygon
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  4. #4
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    Quote Originally Posted by nevetha View Post
    Okay let me be clear.
    There is a polygon. U need to either translate or rotate it.

    I need this for a computer based imaging system. The polygon is drawn with the help of mouse randomly.

    There is a point inside the polygon. Now am able to translate the polygon using some pre-defined options. But there is no provision for translating the point(within the polygon) and hence it has to be done manually by coding. So what should we do to move the point to its new position with respect to the shifted polygon
    Apply whatever transform you are doing to the polygon to the point itself.
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