Write the coordinates of the vertices after a dilation with a scale factor of 1/2, centered at the origin.D (-12, 4)D' (_,_)

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30-10-2022
Mathematics

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Write the coordinates of the vertices after a dilation with a scale factor of 1/2, centered at the origin.D (-12, 4)D' (_,_)

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NashleyO27396 NashleyO27396 · Answer 1 · 2022-10-30T06:14:15+01:00

We are asked to find the coordinates of a point after a dilation centered at the origin. To do that, let's remember that when we have a dilation by a factor of "k" centered at the origin, then the image points are:

[tex](x^{\prime},y^{\prime})=(kx,ky)[/tex]

We are given the point (x,y) = (-12,4) and a dilation factor k = 1/2. The image points are:

[tex](x^{\prime},y^{\prime})=(\frac{1}{2}\times-12,\frac{1}{2}\times4)=(-6,2)[/tex]

Therefore, the coordinates of the point are (-6,2)

Write the coordinates of the vertices after a dilation with a scale factor of 1/2, centered at the origin.D (-12, 4)D' (___,___)

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Write the coordinates of the vertices after a dilation with a scale factor of 1/2, centered at the origin.D (-12, 4)D' (_,_)