If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A’ at (9,18).

Question

If triangle ABC is defined by the coordinated A(3,6), B(7,6), C(7,3) is dilated by a scale factor of 3, with resulting vertex A’ at (9,18). What is the the center of dilation?

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Jezebel 6 months 2021-08-23T20:09:55+00:00 1 Answers 2 views 0

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    2021-08-23T20:11:32+00:00

    Answer:

    Center of dilation → (0, 0)

    Step-by-step explanation:

    Vertices of a triangle ABC are A(3, 6), B(7, 6) and C(7, 3).

    If this triangle is dilated by a scale factor of ‘k’ about the origin,

    Rule for the dilation is,

    (x, y) → (kx, ky)

    If vertex A is dilated by a scale factor of 3 about the origin,

    A(3, 6) → A'(3×3, 3×6)

               → A'(9, 18)

    Therefore, center of dilation is origin (0, 0).

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