A point is dilated by a scale factor of 1/3 centered about the origin, resulting in the new coordinates (-6,3). What are the coordinat

Question

A point is dilated by a scale factor of 1/3 centered about the origin, resulting in the
new coordinates (-6,3). What are the coordinates of the point prior to the
dilation?

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Ngọc Diệp 2 months 2021-07-29T17:08:55+00:00 1 Answers 4 views 0

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    0
    2021-07-29T17:10:10+00:00

    Answer:

    (-18, 9)

    Step-by-step explanation:

    If a coordinate A(x,y) is dilated by a factor of k, the new coordinates will be expressed as;

    A’ = (kx, ky)

    A’ = A (kx, ky)

    Given the following

    k = 1/3

    A’ = (-6, 3)

    Substitute

    (-6, 3) = 1/3(x, y)

    Cross multiply

    3(-6, 3) = (x, y)

    (x, y) = (3(-6), 3(3))

    (x, y) = (-18, 9)

    Hence the coordinate prior to dilation is (-18, 9)

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