To dilate the points S, P, O, and T by a scale factor of 3 centered at the origin, you multiply the coordinates of each point by 3. If the original coordinates of S, P, O, and T are (x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄) respectively, the new coordinates after dilation will be (3x₁, 3y₁), (3x₂, 3y₂), (3x₃, 3y₃), and (3x₄, 3y₄).
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