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19 August, 09:18

the coordinates of three of the vertices of a parallelogram are given. Find the possible coordinates for the fourth vertex. L (0,4), M (6,0), N (2,4).

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  1. 19 August, 09:32
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    Step-by-step explanation:

    Given Coordinates of three vertices of the parallelogram L (0,4), M (6,0), N (2,4).

    Corresponding to each vertex, there are three possibilities of having a fourth vertex

    Coordinates of fourth vertex opposite to L is given by

    (x, y)

    (6+2-0,0+4-4) = (8,0)

    Coordinates of fourth vertex opposite to M is given by

    (x, y) = (0+2-6,4+4-0) = (-4,8)

    Coordinates of fourth vertex opposite to N is given by

    (x, y) = (0+6-2,4+0-4) = (4,0)

    Therefore, the possible coordinates of the fourth vertex are

    (8,0); (-4,8) and (4,0)
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