Question - Dilation of a Point
Solution:
To perform a dilation on a point with a scale factor centered at the origin, you simply multiply the x and y coordinates of the point by the scale factor. For the point (6, 12) and a scale factor of $$ \frac{1}{2} $$, the calculation would be as follows:- The x-coordinate after dilation: $$ 6 \times \frac{1}{2} = 3 $$- The y-coordinate after dilation: $$ 12 \times \frac{1}{2} = 6 $$Therefore, the image of the point (6, 12) after a dilation with a scale factor of $$ \frac{1}{2} $$ centered at the origin is (3, 6).
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