Math Help?!?! 8th grade math?

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A square has vertives
D(-2,1) E(-5,1) F(-2,4) and G(-5,4). If it is dilated with the center of dilation at the origin and a scale factor of 2/3 (It’s supposed to be a fraction like 2 as the numerator and 3 as the denominator), what are the new vertices?
HOW DO I DO THIS?

✅ Answers

? Best Answer

  • Coordinate Transformation/Dilation:
    Xn – Xc = k(Xo-Xc)
    Yn – Yc = k(Yo-Yc)

    Xn, Yn : New, scaled coordinates
    Xo, Yo : Original coordinates
    Xc, Yc : Coordinates of center of dilation
    k : dilation scale factor

    (Xc, Yc) = (0,0)
    k = 2/3

    Xn = (2/3)Xo
    Yn = (2/3)Yo

    D(-2,1) → (-4/3, 2/3)
    E(-5,1) → (-10/3, 2/3)
    F(-2,4) → (-4/3, 8/3)
    G(-5,4) → (-10/3, 8/3)

  • multiply each coordinate by 2/3
    http://img10.imageshack.us/img10/479/omo…

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